gsl::stats Namespace Reference

This namespace provides the gsl_stats functions. More...

Functions
template<typename T >
double	char_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_mean(). More...
template<typename T >
double	char_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_variance(). More...
template<typename T >
double	char_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_sd(). More...
template<typename T >
double	char_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_variance_with_fixed_mean(). More...
template<typename T >
double	char_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_char_variance_with_fixed_mean(). More...
template<typename T >
double	char_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_sd_with_fixed_mean(). More...
template<typename T >
double	char_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_char_sd_with_fixed_mean(). More...
template<typename T >
double	char_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_tss(). More...
template<typename T >
double	char_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_tss_m(). More...
template<typename T >
double	char_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_char_tss_m(). More...
template<typename T >
double	char_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_absdev(). More...
template<typename T >
double	char_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_skew(). More...
template<typename T >
double	char_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_kurtosis(). More...
template<typename T >
double	char_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_lag1_autocorrelation(). More...
template<typename T , typename U >
double	char_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_char_covariance(). More...
template<typename T , typename U >
double	char_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_char_covariance(). More...
template<typename T , typename U >
double	char_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_char_correlation(). More...
template<typename T , typename U >
double	char_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_char_correlation(). More...
template<typename T >
double	char_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_variance_m(). More...
template<typename T >
double	char_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_char_variance_m(). More...
template<typename T >
double	char_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_sd_m(). More...
template<typename T >
double	char_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_char_sd_m(). More...
template<typename T >
double	char_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_absdev_m(). More...
template<typename T >
double	char_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_char_absdev_m(). More...
template<typename T >
double	char_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_char_skew_m_sd(). More...
template<typename T >
double	char_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_char_skew_m_sd(). More...
template<typename T >
double	char_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_char_kurtosis_m_sd(). More...
template<typename T >
double	char_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_char_kurtosis_m_sd(). More...
template<typename T >
double	char_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_char_lag1_autocorrelation_m(). More...
template<typename T >
double	char_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_char_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	char_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_char_covariance_m(). More...
template<typename T >
double	char_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_char_covariance_m(). More...
template<typename T , typename U >
double	char_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_char_pvariance(). More...
template<typename T , typename U >
double	char_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_char_ttest(). More...
template<typename T >
double	char_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_max(). More...
template<typename T >
double	char_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_min(). More...
template<typename T >
void	char_minmax (char &min, char &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_minmax(). More...
template<typename T >
size_t	char_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_max_index(). More...
template<typename T >
size_t	char_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_min_index(). More...
template<typename T >
void	char_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_char_minmax_index(). More...
template<typename T >
double	char_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_char_median_from_sorted_data(). More...
template<typename T >
double	char_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_char_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	char_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_char_pvariance(). More...
template<typename T , typename U >
double	char_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_char_ttest(). More...
template<typename T >
double	char_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_char_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	char_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_char_spearman(). More...
template<typename T , typename U >
double	char_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_char_spearman(). More...
template<typename T >
double	char_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_char_median(). More...
template<typename T >
double	char_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_char_trmean_from_sorted_data(). More...
template<typename T >
double	char_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_char_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	char_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_char_mad0(). More...
template<typename T , typename U >
double	char_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_char_mad(). More...
template<typename T , typename U >
double	char_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_char_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	char_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_char_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
char	char_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_char_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
char	char_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_char_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	char_mad0 (T const &data, U &work)
	C++ version of gsl_stats_char_mad0(). More...
template<typename T , typename U >
double	char_mad (T const &data, U &work)
	C++ version of gsl_stats_char_mad(). More...
template<typename T , typename U >
double	char_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_char_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	char_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_char_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	char_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_char_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	char_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_char_Qn_from_sorted_data(). More...
template<typename T >
double	mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_mean(). More...
template<typename T >
double	variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_variance(). More...
template<typename T >
double	sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_sd(). More...
template<typename T >
double	variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_variance_with_fixed_mean(). More...
template<typename T >
double	variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_variance_with_fixed_mean(). More...
template<typename T >
double	sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_sd_with_fixed_mean(). More...
template<typename T >
double	sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_sd_with_fixed_mean(). More...
template<typename T >
double	tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_tss(). More...
template<typename T >
double	tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_tss_m(). More...
template<typename T >
double	tss_m (T const &data, double const mean)
	C++ version of gsl_stats_tss_m(). More...
template<typename T >
double	absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_absdev(). More...
template<typename T >
double	skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_skew(). More...
template<typename T >
double	kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_kurtosis(). More...
template<typename T >
double	lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_lag1_autocorrelation(). More...
template<typename T , typename U >
double	covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_covariance(). More...
template<typename T , typename U >
double	covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_covariance(). More...
template<typename U , typename T >
double	wmean (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wmean(). More...
template<typename U , typename T >
double	wvariance (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wvariance(). More...
template<typename U , typename T >
double	wsd (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wsd(). More...
template<typename U , typename T >
double	wvariance_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	wsd_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	wtss (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wtss(). More...
template<typename U , typename T >
double	wtss_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_wtss_m(). More...
template<typename U , typename T >
double	wabsdev (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wabsdev(). More...
template<typename U , typename T >
double	wskew (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wskew(). More...
template<typename U , typename T >
double	wkurtosis (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_wkurtosis(). More...
template<typename U , typename T >
double	wvariance_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_wvariance_m(). More...
template<typename U , typename T >
double	wsd_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_wsd_m(). More...
template<typename U , typename T >
double	wabsdev_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_wabsdev_m(). More...
template<typename U , typename T >
double	wskew_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_wskew_m_sd(). More...
template<typename U , typename T >
double	wkurtosis_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_wkurtosis_m_sd(). More...
template<typename U , typename T >
double	wmean (U const &w, T const &data)
	C++ version of gsl_stats_wmean(). More...
template<typename U , typename T >
double	wvariance (U const &w, T const &data)
	C++ version of gsl_stats_wvariance(). More...
template<typename U , typename T >
double	wsd (U const &w, T const &data)
	C++ version of gsl_stats_wsd(). More...
template<typename U , typename T >
double	wvariance_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	wsd_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	wtss (U const &w, T const &data)
	C++ version of gsl_stats_wtss(). More...
template<typename U , typename T >
double	wtss_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_wtss_m(). More...
template<typename U , typename T >
double	wabsdev (U const &w, T const &data)
	C++ version of gsl_stats_wabsdev(). More...
template<typename U , typename T >
double	wskew (U const &w, T const &data)
	C++ version of gsl_stats_wskew(). More...
template<typename U , typename T >
double	wkurtosis (U const &w, T const &data)
	C++ version of gsl_stats_wkurtosis(). More...
template<typename U , typename T >
double	wvariance_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_wvariance_m(). More...
template<typename U , typename T >
double	wsd_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_wsd_m(). More...
template<typename U , typename T >
double	wabsdev_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_wabsdev_m(). More...
template<typename U , typename T >
double	wskew_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_wskew_m_sd(). More...
template<typename U , typename T >
double	wkurtosis_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_wkurtosis_m_sd(). More...
template<typename T , typename U >
double	correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_correlation(). More...
template<typename T , typename U >
double	correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_correlation(). More...
template<typename T >
double	variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_variance_m(). More...
template<typename T >
double	variance_m (T const &data, double const mean)
	C++ version of gsl_stats_variance_m(). More...
template<typename T >
double	sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_sd_m(). More...
template<typename T >
double	sd_m (T const &data, double const mean)
	C++ version of gsl_stats_sd_m(). More...
template<typename T >
double	absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_absdev_m(). More...
template<typename T >
double	absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_absdev_m(). More...
template<typename T >
double	skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_skew_m_sd(). More...
template<typename T >
double	skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_skew_m_sd(). More...
template<typename T >
double	kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_kurtosis_m_sd(). More...
template<typename T >
double	kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_kurtosis_m_sd(). More...
template<typename T >
double	lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_lag1_autocorrelation_m(). More...
template<typename T >
double	lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_covariance_m(). More...
template<typename T >
double	covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_covariance_m(). More...
template<typename T , typename U >
double	pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_pvariance(). More...
template<typename T , typename U >
double	ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ttest(). More...
template<typename T >
double	max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_max(). More...
template<typename T >
double	min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_min(). More...
template<typename T >
void	minmax (double &min, double &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_minmax(). More...
template<typename T >
size_t	max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_max_index(). More...
template<typename T >
size_t	min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_min_index(). More...
template<typename T >
void	minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_minmax_index(). More...
template<typename T >
double	median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_median_from_sorted_data(). More...
template<typename T >
double	quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_pvariance(). More...
template<typename T , typename U >
double	ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_ttest(). More...
template<typename T >
double	quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_spearman(). More...
template<typename T , typename U >
double	spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_spearman(). More...
template<typename T >
double	median (T &data, size_t const stride=1)
	C++ version of gsl_stats_double_median(). More...
template<typename T >
double	trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_double_trmean_from_sorted_data(). More...
template<typename T >
double	gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_mad0(). More...
template<typename T , typename U >
double	mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_mad(). More...
template<typename T , typename U >
double	Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	mad0 (T const &data, U &work)
	C++ version of gsl_stats_mad0(). More...
template<typename T , typename U >
double	mad (T const &data, U &work)
	C++ version of gsl_stats_mad(). More...
template<typename T , typename U >
double	Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_Qn_from_sorted_data(). More...
template<typename T >
double	float_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_mean(). More...
template<typename T >
double	float_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_variance(). More...
template<typename T >
double	float_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_sd(). More...
template<typename T >
double	float_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_variance_with_fixed_mean(). More...
template<typename T >
double	float_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_float_variance_with_fixed_mean(). More...
template<typename T >
double	float_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_sd_with_fixed_mean(). More...
template<typename T >
double	float_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_float_sd_with_fixed_mean(). More...
template<typename T >
double	float_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_tss(). More...
template<typename T >
double	float_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_tss_m(). More...
template<typename T >
double	float_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_float_tss_m(). More...
template<typename T >
double	float_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_absdev(). More...
template<typename T >
double	float_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_skew(). More...
template<typename T >
double	float_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_kurtosis(). More...
template<typename T >
double	float_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_lag1_autocorrelation(). More...
template<typename T , typename U >
double	float_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_float_covariance(). More...
template<typename T , typename U >
double	float_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_float_covariance(). More...
template<typename U , typename T >
double	float_wmean (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wmean(). More...
template<typename U , typename T >
double	float_wvariance (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wvariance(). More...
template<typename U , typename T >
double	float_wsd (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wsd(). More...
template<typename U , typename T >
double	float_wvariance_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	float_wsd_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	float_wtss (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wtss(). More...
template<typename U , typename T >
double	float_wtss_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_float_wtss_m(). More...
template<typename U , typename T >
double	float_wabsdev (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wabsdev(). More...
template<typename U , typename T >
double	float_wskew (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wskew(). More...
template<typename U , typename T >
double	float_wkurtosis (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_float_wkurtosis(). More...
template<typename U , typename T >
double	float_wvariance_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_float_wvariance_m(). More...
template<typename U , typename T >
double	float_wsd_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_float_wsd_m(). More...
template<typename U , typename T >
double	float_wabsdev_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_float_wabsdev_m(). More...
template<typename U , typename T >
double	float_wskew_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_float_wskew_m_sd(). More...
template<typename U , typename T >
double	float_wkurtosis_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_float_wkurtosis_m_sd(). More...
template<typename U , typename T >
double	float_wmean (U const &w, T const &data)
	C++ version of gsl_stats_float_wmean(). More...
template<typename U , typename T >
double	float_wvariance (U const &w, T const &data)
	C++ version of gsl_stats_float_wvariance(). More...
template<typename U , typename T >
double	float_wsd (U const &w, T const &data)
	C++ version of gsl_stats_float_wsd(). More...
template<typename U , typename T >
double	float_wvariance_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_float_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	float_wsd_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	float_wtss (U const &w, T const &data)
	C++ version of gsl_stats_float_wtss(). More...
template<typename U , typename T >
double	float_wtss_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_float_wtss_m(). More...
template<typename U , typename T >
double	float_wabsdev (U const &w, T const &data)
	C++ version of gsl_stats_float_wabsdev(). More...
template<typename U , typename T >
double	float_wskew (U const &w, T const &data)
	C++ version of gsl_stats_float_wskew(). More...
template<typename U , typename T >
double	float_wkurtosis (U const &w, T const &data)
	C++ version of gsl_stats_float_wkurtosis(). More...
template<typename U , typename T >
double	float_wvariance_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_float_wvariance_m(). More...
template<typename U , typename T >
double	float_wsd_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_float_wsd_m(). More...
template<typename U , typename T >
double	float_wabsdev_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_float_wabsdev_m(). More...
template<typename U , typename T >
double	float_wskew_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_float_wskew_m_sd(). More...
template<typename U , typename T >
double	float_wkurtosis_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_float_wkurtosis_m_sd(). More...
template<typename T , typename U >
double	float_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_float_correlation(). More...
template<typename T , typename U >
double	float_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_float_correlation(). More...
template<typename T >
double	float_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_variance_m(). More...
template<typename T >
double	float_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_float_variance_m(). More...
template<typename T >
double	float_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_sd_m(). More...
template<typename T >
double	float_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_float_sd_m(). More...
template<typename T >
double	float_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_absdev_m(). More...
template<typename T >
double	float_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_float_absdev_m(). More...
template<typename T >
double	float_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_float_skew_m_sd(). More...
template<typename T >
double	float_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_float_skew_m_sd(). More...
template<typename T >
double	float_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_float_kurtosis_m_sd(). More...
template<typename T >
double	float_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_float_kurtosis_m_sd(). More...
template<typename T >
double	float_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_float_lag1_autocorrelation_m(). More...
template<typename T >
double	float_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_float_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	float_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_float_covariance_m(). More...
template<typename T >
double	float_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_float_covariance_m(). More...
template<typename T , typename U >
double	float_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_float_pvariance(). More...
template<typename T , typename U >
double	float_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_float_ttest(). More...
template<typename T >
double	float_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_max(). More...
template<typename T >
double	float_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_min(). More...
template<typename T >
void	float_minmax (float &min, float &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_minmax(). More...
template<typename T >
size_t	float_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_max_index(). More...
template<typename T >
size_t	float_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_min_index(). More...
template<typename T >
void	float_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_float_minmax_index(). More...
template<typename T >
double	float_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_float_median_from_sorted_data(). More...
template<typename T >
double	float_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_float_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	float_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_float_pvariance(). More...
template<typename T , typename U >
double	float_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_float_ttest(). More...
template<typename T >
double	float_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_float_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	float_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_float_spearman(). More...
template<typename T >
double	float_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_double_float_median(). More...
template<typename T >
double	float_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_double_float_trmean_from_sorted_data(). More...
template<typename T >
double	float_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_float_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	float_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_float_mad0(). More...
template<typename T , typename U >
double	float_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_float_mad(). More...
template<typename T , typename U >
double	float_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_float_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	float_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_float_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	float_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_float_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	float_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_float_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	float_mad0 (T const &data, U &work)
	C++ version of gsl_stats_float_mad0(). More...
template<typename T , typename U >
double	float_mad (T const &data, U &work)
	C++ version of gsl_stats_float_mad(). More...
template<typename T , typename U >
double	float_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_float_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	float_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_float_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	float_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_float_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	float_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_float_Qn_from_sorted_data(). More...
template<typename T >
double	int_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_mean(). More...
template<typename T >
double	int_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_variance(). More...
template<typename T >
double	int_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_sd(). More...
template<typename T >
double	int_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_variance_with_fixed_mean(). More...
template<typename T >
double	int_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_int_variance_with_fixed_mean(). More...
template<typename T >
double	int_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_sd_with_fixed_mean(). More...
template<typename T >
double	int_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_int_sd_with_fixed_mean(). More...
template<typename T >
double	int_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_tss(). More...
template<typename T >
double	int_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_tss_m(). More...
template<typename T >
double	int_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_int_tss_m(). More...
template<typename T >
double	int_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_absdev(). More...
template<typename T >
double	int_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_skew(). More...
template<typename T >
double	int_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_kurtosis(). More...
template<typename T >
double	int_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_lag1_autocorrelation(). More...
template<typename T , typename U >
double	int_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_int_covariance(). More...
template<typename T , typename U >
double	int_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_int_covariance(). More...
template<typename T , typename U >
double	int_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_int_correlation(). More...
template<typename T , typename U >
double	int_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_int_correlation(). More...
template<typename T >
double	int_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_variance_m(). More...
template<typename T >
double	int_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_int_variance_m(). More...
template<typename T >
double	int_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_sd_m(). More...
template<typename T >
double	int_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_int_sd_m(). More...
template<typename T >
double	int_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_absdev_m(). More...
template<typename T >
double	int_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_int_absdev_m(). More...
template<typename T >
double	int_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_int_skew_m_sd(). More...
template<typename T >
double	int_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_int_skew_m_sd(). More...
template<typename T >
double	int_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_int_kurtosis_m_sd(). More...
template<typename T >
double	int_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_int_kurtosis_m_sd(). More...
template<typename T >
double	int_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_int_lag1_autocorrelation_m(). More...
template<typename T >
double	int_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_int_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	int_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_int_covariance_m(). More...
template<typename T >
double	int_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_int_covariance_m(). More...
template<typename T , typename U >
double	int_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_int_pvariance(). More...
template<typename T , typename U >
double	int_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_int_ttest(). More...
template<typename T >
double	int_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_max(). More...
template<typename T >
double	int_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_min(). More...
template<typename T >
void	int_minmax (int &min, int &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_minmax(). More...
template<typename T >
size_t	int_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_max_index(). More...
template<typename T >
size_t	int_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_min_index(). More...
template<typename T >
void	int_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_int_minmax_index(). More...
template<typename T >
double	int_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_int_median_from_sorted_data(). More...
template<typename T >
double	int_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_int_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	int_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_int_pvariance(). More...
template<typename T , typename U >
double	int_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_int_ttest(). More...
template<typename T >
double	int_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_int_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	int_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_int_spearman(). More...
template<typename T , typename U >
double	int_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_int_spearman(). More...
template<typename T >
double	int_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_int_median(). More...
template<typename T >
double	int_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_int_trmean_from_sorted_data(). More...
template<typename T >
double	int_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_int_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	int_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_int_mad0(). More...
template<typename T , typename U >
double	int_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_int_mad(). More...
template<typename T , typename U >
double	int_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_int_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	int_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_int_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
int	int_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_int_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
int	int_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_int_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	int_mad0 (T const &data, U &work)
	C++ version of gsl_stats_int_mad0(). More...
template<typename T , typename U >
double	int_mad (T const &data, U &work)
	C++ version of gsl_stats_int_mad(). More...
template<typename T , typename U >
double	int_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_int_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	int_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_int_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	int_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_int_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	int_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_int_Qn_from_sorted_data(). More...
template<typename T >
double	long_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_mean(). More...
template<typename T >
double	long_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_variance(). More...
template<typename T >
double	long_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_sd(). More...
template<typename T >
double	long_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_variance_with_fixed_mean(). More...
template<typename T >
double	long_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_long_variance_with_fixed_mean(). More...
template<typename T >
double	long_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_sd_with_fixed_mean(). More...
template<typename T >
double	long_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_long_sd_with_fixed_mean(). More...
template<typename T >
double	long_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_tss(). More...
template<typename T >
double	long_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_tss_m(). More...
template<typename T >
double	long_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_long_tss_m(). More...
template<typename T >
double	long_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_absdev(). More...
template<typename T >
double	long_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_skew(). More...
template<typename T >
double	long_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_kurtosis(). More...
template<typename T >
double	long_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_lag1_autocorrelation(). More...
template<typename T , typename U >
double	long_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_covariance(). More...
template<typename T , typename U >
double	long_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_long_covariance(). More...
template<typename T , typename U >
double	long_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_correlation(). More...
template<typename T , typename U >
double	long_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_long_correlation(). More...
template<typename T >
double	long_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_variance_m(). More...
template<typename T >
double	long_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_long_variance_m(). More...
template<typename T >
double	long_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_sd_m(). More...
template<typename T >
double	long_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_long_sd_m(). More...
template<typename T >
double	long_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_absdev_m(). More...
template<typename T >
double	long_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_long_absdev_m(). More...
template<typename T >
double	long_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_long_skew_m_sd(). More...
template<typename T >
double	long_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_long_skew_m_sd(). More...
template<typename T >
double	long_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_long_kurtosis_m_sd(). More...
template<typename T >
double	long_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_long_kurtosis_m_sd(). More...
template<typename T >
double	long_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_lag1_autocorrelation_m(). More...
template<typename T >
double	long_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_long_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	long_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_long_covariance_m(). More...
template<typename T >
double	long_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_long_covariance_m(). More...
template<typename T , typename U >
double	long_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_pvariance(). More...
template<typename T , typename U >
double	long_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_ttest(). More...
template<typename T >
double	long_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_max(). More...
template<typename T >
double	long_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_min(). More...
template<typename T >
void	long_minmax (long &min, long &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_minmax(). More...
template<typename T >
size_t	long_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_max_index(). More...
template<typename T >
size_t	long_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_min_index(). More...
template<typename T >
void	long_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_minmax_index(). More...
template<typename T >
double	long_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_long_median_from_sorted_data(). More...
template<typename T >
double	long_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_long_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	long_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_long_pvariance(). More...
template<typename T , typename U >
double	long_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_long_ttest(). More...
template<typename T >
double	long_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_long_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	long_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_long_spearman(). More...
template<typename T , typename U >
double	long_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_long_spearman(). More...
template<typename T >
double	long_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_long_median(). More...
template<typename T >
double	long_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_long_trmean_from_sorted_data(). More...
template<typename T >
double	long_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_long_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	long_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_long_mad0(). More...
template<typename T , typename U >
double	long_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_long_mad(). More...
template<typename T , typename U >
double	long_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_long_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	long_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_long_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
long	long_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_long_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
long	long_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_long_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	long_mad0 (T const &data, U &work)
	C++ version of gsl_stats_long_mad0(). More...
template<typename T , typename U >
double	long_mad (T const &data, U &work)
	C++ version of gsl_stats_long_mad(). More...
template<typename T , typename U >
double	long_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_long_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	long_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_long_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_long_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_long_Qn_from_sorted_data(). More...
template<typename T >
double	long_double_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_mean(). More...
template<typename T >
double	long_double_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_variance(). More...
template<typename T >
double	long_double_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_sd(). More...
template<typename T >
double	long_double_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_variance_with_fixed_mean(). More...
template<typename T >
double	long_double_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_long_double_variance_with_fixed_mean(). More...
template<typename T >
double	long_double_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_sd_with_fixed_mean(). More...
template<typename T >
double	long_double_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_long_double_sd_with_fixed_mean(). More...
template<typename T >
double	long_double_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_tss(). More...
template<typename T >
double	long_double_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_tss_m(). More...
template<typename T >
double	long_double_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_long_double_tss_m(). More...
template<typename T >
double	long_double_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_absdev(). More...
template<typename T >
double	long_double_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_skew(). More...
template<typename T >
double	long_double_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_kurtosis(). More...
template<typename T >
double	long_double_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_lag1_autocorrelation(). More...
template<typename T , typename U >
double	long_double_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_double_covariance(). More...
template<typename T , typename U >
double	long_double_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_long_double_covariance(). More...
template<typename U , typename T >
double	long_double_wmean (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wmean(). More...
template<typename U , typename T >
double	long_double_wvariance (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wvariance(). More...
template<typename U , typename T >
double	long_double_wsd (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wsd(). More...
template<typename U , typename T >
double	long_double_wvariance_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	long_double_wsd_with_fixed_mean (U const &w, size_t const wstride, T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	long_double_wtss (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wtss(). More...
template<typename U , typename T >
double	long_double_wtss_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_long_double_wtss_m(). More...
template<typename U , typename T >
double	long_double_wabsdev (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wabsdev(). More...
template<typename U , typename T >
double	long_double_wskew (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wskew(). More...
template<typename U , typename T >
double	long_double_wkurtosis (U const &w, size_t const wstride, T const &data, size_t const stride)
	C++ version of gsl_stats_long_double_wkurtosis(). More...
template<typename U , typename T >
double	long_double_wvariance_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_long_double_wvariance_m(). More...
template<typename U , typename T >
double	long_double_wsd_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_long_double_wsd_m(). More...
template<typename U , typename T >
double	long_double_wabsdev_m (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean)
	C++ version of gsl_stats_long_double_wabsdev_m(). More...
template<typename U , typename T >
double	long_double_wskew_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_long_double_wskew_m_sd(). More...
template<typename U , typename T >
double	long_double_wkurtosis_m_sd (U const &w, size_t const wstride, T const &data, size_t const stride, double const wmean, double const wsd)
	C++ version of gsl_stats_long_double_wkurtosis_m_sd(). More...
template<typename U , typename T >
double	long_double_wmean (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wmean(). More...
template<typename U , typename T >
double	long_double_wvariance (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wvariance(). More...
template<typename U , typename T >
double	long_double_wsd (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wsd(). More...
template<typename U , typename T >
double	long_double_wvariance_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_long_double_wvariance_with_fixed_mean(). More...
template<typename U , typename T >
double	long_double_wsd_with_fixed_mean (U const &w, T const &data, double const mean)
	C++ version of gsl_stats_wsd_with_fixed_mean(). More...
template<typename U , typename T >
double	long_double_wtss (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wtss(). More...
template<typename U , typename T >
double	long_double_wtss_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_long_double_wtss_m(). More...
template<typename U , typename T >
double	long_double_wabsdev (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wabsdev(). More...
template<typename U , typename T >
double	long_double_wskew (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wskew(). More...
template<typename U , typename T >
double	long_double_wkurtosis (U const &w, T const &data)
	C++ version of gsl_stats_long_double_wkurtosis(). More...
template<typename U , typename T >
double	long_double_wvariance_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_long_double_wvariance_m(). More...
template<typename U , typename T >
double	long_double_wsd_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_long_double_wsd_m(). More...
template<typename U , typename T >
double	long_double_wabsdev_m (U const &w, T const &data, double const wmean)
	C++ version of gsl_stats_long_double_wabsdev_m(). More...
template<typename U , typename T >
double	long_double_wskew_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_long_double_wskew_m_sd(). More...
template<typename U , typename T >
double	long_double_wkurtosis_m_sd (U const &w, T const &data, double const wmean, double const wsd)
	C++ version of gsl_stats_long_double_wkurtosis_m_sd(). More...
template<typename T , typename U >
double	long_double_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_double_correlation(). More...
template<typename T , typename U >
double	long_double_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_long_double_correlation(). More...
template<typename T >
double	long_double_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_variance_m(). More...
template<typename T >
double	long_double_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_long_double_variance_m(). More...
template<typename T >
double	long_double_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_sd_m(). More...
template<typename T >
double	long_double_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_long_double_sd_m(). More...
template<typename T >
double	long_double_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_absdev_m(). More...
template<typename T >
double	long_double_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_long_double_absdev_m(). More...
template<typename T >
double	long_double_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_long_double_skew_m_sd(). More...
template<typename T >
double	long_double_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_long_double_skew_m_sd(). More...
template<typename T >
double	long_double_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_long_double_kurtosis_m_sd(). More...
template<typename T >
double	long_double_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_long_double_kurtosis_m_sd(). More...
template<typename T >
double	long_double_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_long_double_lag1_autocorrelation_m(). More...
template<typename T >
double	long_double_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_long_double_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	long_double_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_long_double_covariance_m(). More...
template<typename T >
double	long_double_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_long_double_covariance_m(). More...
template<typename T , typename U >
double	long_double_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_double_pvariance(). More...
template<typename T , typename U >
double	long_double_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_long_double_ttest(). More...
template<typename T >
double	long_double_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_max(). More...
template<typename T >
double	long_double_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_min(). More...
template<typename T >
void	long_double_minmax (long double &min, long double &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_minmax(). More...
template<typename T >
size_t	long_double_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_max_index(). More...
template<typename T >
size_t	long_double_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_min_index(). More...
template<typename T >
void	long_double_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_long_double_minmax_index(). More...
template<typename T >
double	long_double_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_long_double_median_from_sorted_data(). More...
template<typename T >
double	long_double_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_long_double_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_long_double_pvariance(). More...
template<typename T , typename U >
double	long_double_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_long_double_ttest(). More...
template<typename T >
double	long_double_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_long_double_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_long_double_spearman(). More...
template<typename T , typename U >
double	long_double_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_long_double_spearman(). More...
template<typename T >
double	long_double_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_double_long_double_median(). More...
template<typename T >
double	long_double_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_double_long_double_trmean_from_sorted_data(). More...
template<typename T >
double	long_double_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_long_double_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_long_double_mad0(). More...
template<typename T , typename U >
double	long_double_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_long_double_mad(). More...
template<typename T , typename U >
double	long_double_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_long_double_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_long_double_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_double_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_long_double_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_double_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_long_double_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_mad0 (T const &data, U &work)
	C++ version of gsl_stats_long_double_mad0(). More...
template<typename T , typename U >
double	long_double_mad (T const &data, U &work)
	C++ version of gsl_stats_long_double_mad(). More...
template<typename T , typename U >
double	long_double_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_long_double_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	long_double_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_long_double_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_double_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_long_double_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	long_double_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_long_double_Qn_from_sorted_data(). More...
template<typename T >
double	short_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_mean(). More...
template<typename T >
double	short_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_variance(). More...
template<typename T >
double	short_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_sd(). More...
template<typename T >
double	short_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_variance_with_fixed_mean(). More...
template<typename T >
double	short_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_short_variance_with_fixed_mean(). More...
template<typename T >
double	short_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_sd_with_fixed_mean(). More...
template<typename T >
double	short_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_short_sd_with_fixed_mean(). More...
template<typename T >
double	short_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_tss(). More...
template<typename T >
double	short_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_tss_m(). More...
template<typename T >
double	short_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_short_tss_m(). More...
template<typename T >
double	short_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_absdev(). More...
template<typename T >
double	short_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_skew(). More...
template<typename T >
double	short_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_kurtosis(). More...
template<typename T >
double	short_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_lag1_autocorrelation(). More...
template<typename T , typename U >
double	short_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_short_covariance(). More...
template<typename T , typename U >
double	short_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_short_covariance(). More...
template<typename T , typename U >
double	short_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_short_correlation(). More...
template<typename T , typename U >
double	short_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_short_correlation(). More...
template<typename T >
double	short_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_variance_m(). More...
template<typename T >
double	short_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_short_variance_m(). More...
template<typename T >
double	short_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_sd_m(). More...
template<typename T >
double	short_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_short_sd_m(). More...
template<typename T >
double	short_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_absdev_m(). More...
template<typename T >
double	short_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_short_absdev_m(). More...
template<typename T >
double	short_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_short_skew_m_sd(). More...
template<typename T >
double	short_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_short_skew_m_sd(). More...
template<typename T >
double	short_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_short_kurtosis_m_sd(). More...
template<typename T >
double	short_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_short_kurtosis_m_sd(). More...
template<typename T >
double	short_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_short_lag1_autocorrelation_m(). More...
template<typename T >
double	short_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_short_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	short_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_short_covariance_m(). More...
template<typename T >
double	short_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_short_covariance_m(). More...
template<typename T , typename U >
double	short_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_short_pvariance(). More...
template<typename T , typename U >
double	short_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_short_ttest(). More...
template<typename T >
double	short_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_max(). More...
template<typename T >
double	short_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_min(). More...
template<typename T >
void	short_minmax (short &min, short &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_minmax(). More...
template<typename T >
size_t	short_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_max_index(). More...
template<typename T >
size_t	short_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_min_index(). More...
template<typename T >
void	short_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_short_minmax_index(). More...
template<typename T >
double	short_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_short_median_from_sorted_data(). More...
template<typename T >
double	short_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_short_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	short_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_short_pvariance(). More...
template<typename T , typename U >
double	short_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_short_ttest(). More...
template<typename T >
double	short_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_short_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	short_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_short_spearman(). More...
template<typename T , typename U >
double	short_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_short_spearman(). More...
template<typename T >
double	short_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_short_median(). More...
template<typename T >
double	short_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_short_trmean_from_sorted_data(). More...
template<typename T >
double	short_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_short_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	short_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_short_mad0(). More...
template<typename T , typename U >
double	short_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_short_mad(). More...
template<typename T , typename U >
double	short_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_short_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	short_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_short_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
short	short_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_short_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
short	short_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_short_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	short_mad0 (T const &data, U &work)
	C++ version of gsl_stats_short_mad0(). More...
template<typename T , typename U >
double	short_mad (T const &data, U &work)
	C++ version of gsl_stats_short_mad(). More...
template<typename T , typename U >
double	short_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_short_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	short_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_short_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	short_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_short_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	short_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_short_Qn_from_sorted_data(). More...
template<typename T >
double	uchar_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_mean(). More...
template<typename T >
double	uchar_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_variance(). More...
template<typename T >
double	uchar_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_sd(). More...
template<typename T >
double	uchar_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_variance_with_fixed_mean(). More...
template<typename T >
double	uchar_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_uchar_variance_with_fixed_mean(). More...
template<typename T >
double	uchar_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_sd_with_fixed_mean(). More...
template<typename T >
double	uchar_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_uchar_sd_with_fixed_mean(). More...
template<typename T >
double	uchar_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_tss(). More...
template<typename T >
double	uchar_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_tss_m(). More...
template<typename T >
double	uchar_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_uchar_tss_m(). More...
template<typename T >
double	uchar_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_absdev(). More...
template<typename T >
double	uchar_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_skew(). More...
template<typename T >
double	uchar_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_kurtosis(). More...
template<typename T >
double	uchar_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_lag1_autocorrelation(). More...
template<typename T , typename U >
double	uchar_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uchar_covariance(). More...
template<typename T , typename U >
double	uchar_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_uchar_covariance(). More...
template<typename T , typename U >
double	uchar_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uchar_correlation(). More...
template<typename T , typename U >
double	uchar_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_uchar_correlation(). More...
template<typename T >
double	uchar_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_variance_m(). More...
template<typename T >
double	uchar_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_uchar_variance_m(). More...
template<typename T >
double	uchar_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_sd_m(). More...
template<typename T >
double	uchar_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_uchar_sd_m(). More...
template<typename T >
double	uchar_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_absdev_m(). More...
template<typename T >
double	uchar_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_uchar_absdev_m(). More...
template<typename T >
double	uchar_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_uchar_skew_m_sd(). More...
template<typename T >
double	uchar_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_uchar_skew_m_sd(). More...
template<typename T >
double	uchar_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_uchar_kurtosis_m_sd(). More...
template<typename T >
double	uchar_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_uchar_kurtosis_m_sd(). More...
template<typename T >
double	uchar_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uchar_lag1_autocorrelation_m(). More...
template<typename T >
double	uchar_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_uchar_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	uchar_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_uchar_covariance_m(). More...
template<typename T >
double	uchar_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_uchar_covariance_m(). More...
template<typename T , typename U >
double	uchar_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uchar_pvariance(). More...
template<typename T , typename U >
double	uchar_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uchar_ttest(). More...
template<typename T >
double	uchar_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_max(). More...
template<typename T >
double	uchar_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_min(). More...
template<typename T >
void	uchar_minmax (unsigned char &min, unsigned char &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_minmax(). More...
template<typename T >
size_t	uchar_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_max_index(). More...
template<typename T >
size_t	uchar_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_min_index(). More...
template<typename T >
void	uchar_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_minmax_index(). More...
template<typename T >
double	uchar_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uchar_median_from_sorted_data(). More...
template<typename T >
double	uchar_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_uchar_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_uchar_pvariance(). More...
template<typename T , typename U >
double	uchar_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_uchar_ttest(). More...
template<typename T >
double	uchar_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_uchar_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_uchar_spearman(). More...
template<typename T , typename U >
double	uchar_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_uchar_spearman(). More...
template<typename T >
double	uchar_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_uchar_median(). More...
template<typename T >
double	uchar_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uchar_trmean_from_sorted_data(). More...
template<typename T >
double	uchar_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uchar_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_uchar_mad0(). More...
template<typename T , typename U >
double	uchar_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_uchar_mad(). More...
template<typename T , typename U >
double	uchar_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_uchar_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_uchar_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned char	uchar_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_uchar_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned char	uchar_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_uchar_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_mad0 (T const &data, U &work)
	C++ version of gsl_stats_uchar_mad0(). More...
template<typename T , typename U >
double	uchar_mad (T const &data, U &work)
	C++ version of gsl_stats_uchar_mad(). More...
template<typename T , typename U >
double	uchar_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_uchar_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	uchar_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_uchar_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	uchar_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_uchar_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	uchar_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_uchar_Qn_from_sorted_data(). More...
template<typename T >
double	uint_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_mean(). More...
template<typename T >
double	uint_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_variance(). More...
template<typename T >
double	uint_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_sd(). More...
template<typename T >
double	uint_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_variance_with_fixed_mean(). More...
template<typename T >
double	uint_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_uint_variance_with_fixed_mean(). More...
template<typename T >
double	uint_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_sd_with_fixed_mean(). More...
template<typename T >
double	uint_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_uint_sd_with_fixed_mean(). More...
template<typename T >
double	uint_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_tss(). More...
template<typename T >
double	uint_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_tss_m(). More...
template<typename T >
double	uint_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_uint_tss_m(). More...
template<typename T >
double	uint_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_absdev(). More...
template<typename T >
double	uint_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_skew(). More...
template<typename T >
double	uint_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_kurtosis(). More...
template<typename T >
double	uint_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_lag1_autocorrelation(). More...
template<typename T , typename U >
double	uint_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uint_covariance(). More...
template<typename T , typename U >
double	uint_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_uint_covariance(). More...
template<typename T , typename U >
double	uint_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uint_correlation(). More...
template<typename T , typename U >
double	uint_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_uint_correlation(). More...
template<typename T >
double	uint_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_variance_m(). More...
template<typename T >
double	uint_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_uint_variance_m(). More...
template<typename T >
double	uint_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_sd_m(). More...
template<typename T >
double	uint_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_uint_sd_m(). More...
template<typename T >
double	uint_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_absdev_m(). More...
template<typename T >
double	uint_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_uint_absdev_m(). More...
template<typename T >
double	uint_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_uint_skew_m_sd(). More...
template<typename T >
double	uint_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_uint_skew_m_sd(). More...
template<typename T >
double	uint_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_uint_kurtosis_m_sd(). More...
template<typename T >
double	uint_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_uint_kurtosis_m_sd(). More...
template<typename T >
double	uint_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_uint_lag1_autocorrelation_m(). More...
template<typename T >
double	uint_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_uint_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	uint_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_uint_covariance_m(). More...
template<typename T >
double	uint_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_uint_covariance_m(). More...
template<typename T , typename U >
double	uint_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uint_pvariance(). More...
template<typename T , typename U >
double	uint_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_uint_ttest(). More...
template<typename T >
double	uint_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_max(). More...
template<typename T >
double	uint_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_min(). More...
template<typename T >
void	uint_minmax (unsigned int &min, unsigned int &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_minmax(). More...
template<typename T >
size_t	uint_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_max_index(). More...
template<typename T >
size_t	uint_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_min_index(). More...
template<typename T >
void	uint_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_uint_minmax_index(). More...
template<typename T >
double	uint_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uint_median_from_sorted_data(). More...
template<typename T >
double	uint_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_uint_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	uint_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_uint_pvariance(). More...
template<typename T , typename U >
double	uint_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_uint_ttest(). More...
template<typename T >
double	uint_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_uint_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	uint_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_uint_spearman(). More...
template<typename T , typename U >
double	uint_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_uint_spearman(). More...
template<typename T >
double	uint_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_uint_median(). More...
template<typename T >
double	uint_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uint_trmean_from_sorted_data(). More...
template<typename T >
double	uint_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_uint_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	uint_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_uint_mad0(). More...
template<typename T , typename U >
double	uint_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_uint_mad(). More...
template<typename T , typename U >
double	uint_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_uint_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	uint_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_uint_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned int	uint_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_uint_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned int	uint_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_uint_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	uint_mad0 (T const &data, U &work)
	C++ version of gsl_stats_uint_mad0(). More...
template<typename T , typename U >
double	uint_mad (T const &data, U &work)
	C++ version of gsl_stats_uint_mad(). More...
template<typename T , typename U >
double	uint_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_uint_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	uint_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_uint_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	uint_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_uint_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	uint_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_uint_Qn_from_sorted_data(). More...
template<typename T >
double	ulong_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_mean(). More...
template<typename T >
double	ulong_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_variance(). More...
template<typename T >
double	ulong_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_sd(). More...
template<typename T >
double	ulong_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_variance_with_fixed_mean(). More...
template<typename T >
double	ulong_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_ulong_variance_with_fixed_mean(). More...
template<typename T >
double	ulong_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_sd_with_fixed_mean(). More...
template<typename T >
double	ulong_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_ulong_sd_with_fixed_mean(). More...
template<typename T >
double	ulong_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_tss(). More...
template<typename T >
double	ulong_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_tss_m(). More...
template<typename T >
double	ulong_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_ulong_tss_m(). More...
template<typename T >
double	ulong_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_absdev(). More...
template<typename T >
double	ulong_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_skew(). More...
template<typename T >
double	ulong_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_kurtosis(). More...
template<typename T >
double	ulong_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_lag1_autocorrelation(). More...
template<typename T , typename U >
double	ulong_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ulong_covariance(). More...
template<typename T , typename U >
double	ulong_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_ulong_covariance(). More...
template<typename T , typename U >
double	ulong_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ulong_correlation(). More...
template<typename T , typename U >
double	ulong_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_ulong_correlation(). More...
template<typename T >
double	ulong_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_variance_m(). More...
template<typename T >
double	ulong_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_ulong_variance_m(). More...
template<typename T >
double	ulong_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_sd_m(). More...
template<typename T >
double	ulong_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_ulong_sd_m(). More...
template<typename T >
double	ulong_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_absdev_m(). More...
template<typename T >
double	ulong_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_ulong_absdev_m(). More...
template<typename T >
double	ulong_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_ulong_skew_m_sd(). More...
template<typename T >
double	ulong_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_ulong_skew_m_sd(). More...
template<typename T >
double	ulong_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_ulong_kurtosis_m_sd(). More...
template<typename T >
double	ulong_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_ulong_kurtosis_m_sd(). More...
template<typename T >
double	ulong_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ulong_lag1_autocorrelation_m(). More...
template<typename T >
double	ulong_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_ulong_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	ulong_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_ulong_covariance_m(). More...
template<typename T >
double	ulong_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_ulong_covariance_m(). More...
template<typename T , typename U >
double	ulong_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ulong_pvariance(). More...
template<typename T , typename U >
double	ulong_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ulong_ttest(). More...
template<typename T >
double	ulong_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_max(). More...
template<typename T >
double	ulong_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_min(). More...
template<typename T >
void	ulong_minmax (unsigned long &min, unsigned long &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_minmax(). More...
template<typename T >
size_t	ulong_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_max_index(). More...
template<typename T >
size_t	ulong_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_min_index(). More...
template<typename T >
void	ulong_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_minmax_index(). More...
template<typename T >
double	ulong_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ulong_median_from_sorted_data(). More...
template<typename T >
double	ulong_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_ulong_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_ulong_pvariance(). More...
template<typename T , typename U >
double	ulong_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_ulong_ttest(). More...
template<typename T >
double	ulong_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_ulong_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_ulong_spearman(). More...
template<typename T , typename U >
double	ulong_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_ulong_spearman(). More...
template<typename T >
double	ulong_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_ulong_median(). More...
template<typename T >
double	ulong_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ulong_trmean_from_sorted_data(). More...
template<typename T >
double	ulong_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ulong_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_ulong_mad0(). More...
template<typename T , typename U >
double	ulong_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_ulong_mad(). More...
template<typename T , typename U >
double	ulong_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_ulong_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_ulong_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned long	ulong_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_ulong_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned long	ulong_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_ulong_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_mad0 (T const &data, U &work)
	C++ version of gsl_stats_ulong_mad0(). More...
template<typename T , typename U >
double	ulong_mad (T const &data, U &work)
	C++ version of gsl_stats_ulong_mad(). More...
template<typename T , typename U >
double	ulong_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_ulong_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	ulong_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_ulong_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	ulong_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_ulong_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	ulong_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_ulong_Qn_from_sorted_data(). More...
template<typename T >
double	ushort_mean (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_mean(). More...
template<typename T >
double	ushort_variance (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_variance(). More...
template<typename T >
double	ushort_sd (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_sd(). More...
template<typename T >
double	ushort_variance_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_variance_with_fixed_mean(). More...
template<typename T >
double	ushort_variance_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_ushort_variance_with_fixed_mean(). More...
template<typename T >
double	ushort_sd_with_fixed_mean (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_sd_with_fixed_mean(). More...
template<typename T >
double	ushort_sd_with_fixed_mean (T const &data, double const mean)
	C++ version of gsl_stats_ushort_sd_with_fixed_mean(). More...
template<typename T >
double	ushort_tss (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_tss(). More...
template<typename T >
double	ushort_tss_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_tss_m(). More...
template<typename T >
double	ushort_tss_m (T const &data, double const mean)
	C++ version of gsl_stats_ushort_tss_m(). More...
template<typename T >
double	ushort_absdev (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_absdev(). More...
template<typename T >
double	ushort_skew (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_skew(). More...
template<typename T >
double	ushort_kurtosis (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_kurtosis(). More...
template<typename T >
double	ushort_lag1_autocorrelation (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_lag1_autocorrelation(). More...
template<typename T , typename U >
double	ushort_covariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ushort_covariance(). More...
template<typename T , typename U >
double	ushort_covariance (T const &data1, U const &data2)
	C++ version of gsl_stats_ushort_covariance(). More...
template<typename T , typename U >
double	ushort_correlation (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ushort_correlation(). More...
template<typename T , typename U >
double	ushort_correlation (T const &data1, U const &data2)
	C++ version of gsl_stats_ushort_correlation(). More...
template<typename T >
double	ushort_variance_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_variance_m(). More...
template<typename T >
double	ushort_variance_m (T const &data, double const mean)
	C++ version of gsl_stats_ushort_variance_m(). More...
template<typename T >
double	ushort_sd_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_sd_m(). More...
template<typename T >
double	ushort_sd_m (T const &data, double const mean)
	C++ version of gsl_stats_ushort_sd_m(). More...
template<typename T >
double	ushort_absdev_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_absdev_m(). More...
template<typename T >
double	ushort_absdev_m (T const &data, double const mean)
	C++ version of gsl_stats_ushort_absdev_m(). More...
template<typename T >
double	ushort_skew_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_ushort_skew_m_sd(). More...
template<typename T >
double	ushort_skew_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_ushort_skew_m_sd(). More...
template<typename T >
double	ushort_kurtosis_m_sd (T const &data, size_t const stride, double const mean, double const sd)
	C++ version of gsl_stats_ushort_kurtosis_m_sd(). More...
template<typename T >
double	ushort_kurtosis_m_sd (T const &data, double const mean, double const sd)
	C++ version of gsl_stats_ushort_kurtosis_m_sd(). More...
template<typename T >
double	ushort_lag1_autocorrelation_m (T const &data, size_t const stride, double const mean)
	C++ version of gsl_stats_ushort_lag1_autocorrelation_m(). More...
template<typename T >
double	ushort_lag1_autocorrelation_m (T const &data, double const mean)
	C++ version of gsl_stats_ushort_lag1_autocorrelation_m(). More...
template<typename T , typename U >
double	ushort_covariance_m (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double const mean1, double const mean2)
	C++ version of gsl_stats_ushort_covariance_m(). More...
template<typename T >
double	ushort_covariance_m (T const &data1, T const &data2, double const mean1, double const mean2)
	C++ version of gsl_stats_ushort_covariance_m(). More...
template<typename T , typename U >
double	ushort_pvariance (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ushort_pvariance(). More...
template<typename T , typename U >
double	ushort_ttest (T const &data1, size_t const stride1, U const &data2, size_t const stride2)
	C++ version of gsl_stats_ushort_ttest(). More...
template<typename T >
double	ushort_max (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_max(). More...
template<typename T >
double	ushort_min (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_min(). More...
template<typename T >
void	ushort_minmax (unsigned short &min, unsigned short &max, T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_minmax(). More...
template<typename T >
size_t	ushort_max_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_max_index(). More...
template<typename T >
size_t	ushort_min_index (T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_min_index(). More...
template<typename T >
void	ushort_minmax_index (size_t &min_index, size_t &max_index, T const &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_minmax_index(). More...
template<typename T >
double	ushort_median_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ushort_median_from_sorted_data(). More...
template<typename T >
double	ushort_quantile_from_sorted_data (T const &sorted_data, size_t const stride, double const f)
	C++ version of gsl_stats_ushort_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_pvariance (T const &data1, U const &data2)
	C++ version of gsl_stats_ushort_pvariance(). More...
template<typename T , typename U >
double	ushort_ttest (T const &data1, U const &data2)
	C++ version of gsl_stats_ushort_ttest(). More...
template<typename T >
double	ushort_quantile_from_sorted_data (T const &sorted_data, double const f)
	C++ version of gsl_stats_ushort_quantile_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_spearman (T const &data1, size_t const stride1, U const &data2, size_t const stride2, double work[])
	C++ version of gsl_stats_ushort_spearman(). More...
template<typename T , typename U >
double	ushort_spearman (T const &data1, U const &data2, double work[])
	C++ version of gsl_stats_ushort_spearman(). More...
template<typename T >
double	ushort_median (T &data, size_t const stride=1)
	C++ version of gsl_stats_ushort_median(). More...
template<typename T >
double	ushort_trmean_from_sorted_data (double const trim, T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ushort_trmean_from_sorted_data(). More...
template<typename T >
double	ushort_gastwirth_from_sorted_data (T const &sorted_data, size_t const stride=1)
	C++ version of gsl_stats_ushort_gastwirth_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_mad0 (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_ushort_mad0(). More...
template<typename T , typename U >
double	ushort_mad (T const &data, size_t const stride, U &work)
	C++ version of gsl_stats_ushort_mad(). More...
template<typename T , typename U >
double	ushort_Sn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_ushort_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_Sn_from_sorted_data (T const &sorted_data, size_t const stride, U &work)
	C++ version of gsl_stats_ushort_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned short	ushort_Qn0_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_ushort_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
unsigned short	ushort_Qn_from_sorted_data (T const &sorted_data, size_t const stride, U &work, V &work_int)
	C++ version of gsl_stats_ushort_Qn_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_mad0 (T const &data, U &work)
	C++ version of gsl_stats_ushort_mad0(). More...
template<typename T , typename U >
double	ushort_mad (T const &data, U &work)
	C++ version of gsl_stats_ushort_mad(). More...
template<typename T , typename U >
double	ushort_Sn0_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_ushort_Sn0_from_sorted_data(). More...
template<typename T , typename U >
double	ushort_Sn_from_sorted_data (T const &sorted_data, U &work)
	C++ version of gsl_stats_ushort_Sn_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	ushort_Qn0_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_ushort_Qn0_from_sorted_data(). More...
template<typename T , typename U , typename V >
double	ushort_Qn_from_sorted_data (T const &sorted_data, U &work, V &work_int)
	C++ version of gsl_stats_ushort_Qn_from_sorted_data(). More...

Detailed Description

This namespace provides the gsl_stats functions.

Besides simple wrappers to the original functions, it provides template functions that can be called on any class that implements the following two functions:

1. double* data(): returns an array of elements of type double,
2. size_t size(): returns size of array. The template versions use either default arguments or function overloading to ensure that any statistics function may be called without stride arguments (i.e. with default stride = 1).

Function Documentation

absdev()

template<typename T >

double gsl::stats::absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 1091 of file statistics_double.hpp.

absdev_m() [1/2]

template<typename T >

double gsl::stats::absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1565 of file statistics_double.hpp.

References mean().

absdev_m() [2/2]

template<typename T >

double gsl::stats::absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1556 of file statistics_double.hpp.

References mean().

char_absdev()

template<typename T >

double gsl::stats::char_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_char.hpp.

char_absdev_m() [1/2]

template<typename T >

double gsl::stats::char_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_char.hpp.

References mean().

char_absdev_m() [2/2]

template<typename T >

double gsl::stats::char_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_char.hpp.

References mean().

char_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::char_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_char_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_char.hpp.

char_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::char_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_char_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_char.hpp.

char_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::char_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_char_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_char.hpp.

char_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::char_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_char_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_char.hpp.

char_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::char_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_char_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_char.hpp.

char_covariance_m() [2/2]

template<typename T >

double gsl::stats::char_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_char_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_char.hpp.

char_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::char_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_char_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_char.hpp.

References gsl::rstat::n().

char_kurtosis()

template<typename T >

double gsl::stats::char_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_char.hpp.

char_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::char_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_char_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_char.hpp.

References mean(), and sd().

char_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::char_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_char_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_char.hpp.

References mean(), and sd().

char_lag1_autocorrelation()

template<typename T >

double gsl::stats::char_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_char.hpp.

char_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::char_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_char.hpp.

References mean().

char_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::char_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_char.hpp.

References mean().

char_mad() [1/2]

template<typename T , typename U >

double gsl::stats::char_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_char_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_mad() [2/2]

template<typename T , typename U >

double gsl::stats::char_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_char_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::char_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_char_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::char_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_char_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_max()

template<typename T >

double gsl::stats::char_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_char.hpp.

char_max_index()

template<typename T >

size_t gsl::stats::char_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_char.hpp.

char_mean()

template<typename T >

double gsl::stats::char_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_char.hpp.

char_median()

template<typename T >

double gsl::stats::char_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_char.hpp.

References gsl::rstat::n().

char_median_from_sorted_data()

template<typename T >

double gsl::stats::char_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_char.hpp.

char_min()

template<typename T >

double gsl::stats::char_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_char.hpp.

char_min_index()

template<typename T >

size_t gsl::stats::char_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_char.hpp.

char_minmax()

template<typename T >

void gsl::stats::char_minmax ( char &  min, char &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_char.hpp.

References max(), and min().

char_minmax_index()

template<typename T >

void gsl::stats::char_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_char.hpp.

References max_index(), and min_index().

char_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::char_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_char_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_char.hpp.

char_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::char_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_char_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_char.hpp.

char_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

char gsl::stats::char_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_char_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::char_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_char_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

char gsl::stats::char_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_char_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::char_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_char_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::char_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_char_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_char.hpp.

char_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::char_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_char_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_char.hpp.

References gsl::rstat::n().

char_sd()

template<typename T >

double gsl::stats::char_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_char.hpp.

char_sd_m() [1/2]

template<typename T >

double gsl::stats::char_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_char.hpp.

References mean().

char_sd_m() [2/2]

template<typename T >

double gsl::stats::char_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_char.hpp.

References mean().

char_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::char_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_char.hpp.

References mean().

char_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::char_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_char.hpp.

References mean().

char_skew()

template<typename T >

double gsl::stats::char_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_char.hpp.

char_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::char_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_char_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_char.hpp.

References mean(), and sd().

char_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::char_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_char_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_char.hpp.

References mean(), and sd().

char_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::char_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_char_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::char_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_char_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::char_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_char_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::char_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_char_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_char.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

char_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::char_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_char_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_char.hpp.

char_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::char_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_char_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_char.hpp.

char_trmean_from_sorted_data()

template<typename T >

double gsl::stats::char_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_char_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_char.hpp.

References gsl::rstat::n().

char_tss()

template<typename T >

double gsl::stats::char_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_char.hpp.

char_tss_m() [1/2]

template<typename T >

double gsl::stats::char_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_char.hpp.

References mean().

char_tss_m() [2/2]

template<typename T >

double gsl::stats::char_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_char.hpp.

References mean().

char_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::char_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_char_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_char.hpp.

char_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::char_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_char_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_char.hpp.

char_variance()

template<typename T >

double gsl::stats::char_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_char_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_char.hpp.

char_variance_m() [1/2]

template<typename T >

double gsl::stats::char_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_char.hpp.

References mean().

char_variance_m() [2/2]

template<typename T >

double gsl::stats::char_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_char.hpp.

References mean().

char_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::char_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_char_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_char.hpp.

References mean().

char_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::char_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_char_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_char.hpp.

References mean().

correlation() [1/2]

template<typename T , typename U >

double gsl::stats::correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 1498 of file statistics_double.hpp.

correlation() [2/2]

template<typename T , typename U >

double gsl::stats::correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 1508 of file statistics_double.hpp.

covariance() [1/2]

template<typename T , typename U >

double gsl::stats::covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 1129 of file statistics_double.hpp.

covariance() [2/2]

template<typename T , typename U >

double gsl::stats::covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 1139 of file statistics_double.hpp.

covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1642 of file statistics_double.hpp.

covariance_m() [2/2]

template<typename T >

double gsl::stats::covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1656 of file statistics_double.hpp.

float_absdev()

template<typename T >

double gsl::stats::float_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 1090 of file statistics_float.hpp.

float_absdev_m() [1/2]

template<typename T >

double gsl::stats::float_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1564 of file statistics_float.hpp.

References mean().

float_absdev_m() [2/2]

template<typename T >

double gsl::stats::float_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1555 of file statistics_float.hpp.

References mean().

float_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::float_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_float_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 1497 of file statistics_float.hpp.

float_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::float_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_float_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 1507 of file statistics_float.hpp.

float_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::float_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_float_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 1128 of file statistics_float.hpp.

float_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::float_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_float_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 1138 of file statistics_float.hpp.

float_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::float_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_float_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1641 of file statistics_float.hpp.

float_covariance_m() [2/2]

template<typename T >

double gsl::stats::float_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_float_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1655 of file statistics_float.hpp.

float_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::float_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_float_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1911 of file statistics_float.hpp.

float_kurtosis()

template<typename T >

double gsl::stats::float_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 1108 of file statistics_float.hpp.

float_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::float_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_float_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1608 of file statistics_float.hpp.

References mean(), and sd().

float_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::float_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_float_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1597 of file statistics_float.hpp.

References mean(), and sd().

float_lag1_autocorrelation()

template<typename T >

double gsl::stats::float_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 1117 of file statistics_float.hpp.

float_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::float_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1628 of file statistics_float.hpp.

References mean().

float_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::float_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1618 of file statistics_float.hpp.

References mean().

float_mad() [1/2]

template<typename T , typename U >

double gsl::stats::float_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_float_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1938 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_mad() [2/2]

template<typename T , typename U >

double gsl::stats::float_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_float_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 2050 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::float_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_float_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1922 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::float_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_float_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 2035 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_max()

template<typename T >

double gsl::stats::float_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 1693 of file statistics_float.hpp.

float_max_index()

template<typename T >

size_t gsl::stats::float_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1721 of file statistics_float.hpp.

float_mean()

template<typename T >

double gsl::stats::float_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 995 of file statistics_float.hpp.

float_median()

template<typename T >

double gsl::stats::float_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_double_float_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1890 of file statistics_float.hpp.

float_median_from_sorted_data()

template<typename T >

double gsl::stats::float_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1750 of file statistics_float.hpp.

float_min()

template<typename T >

double gsl::stats::float_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 1702 of file statistics_float.hpp.

float_min_index()

template<typename T >

size_t gsl::stats::float_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1730 of file statistics_float.hpp.

float_minmax()

template<typename T >

void gsl::stats::float_minmax ( float &  min, float &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1712 of file statistics_float.hpp.

References max(), and min().

float_minmax_index()

template<typename T >

void gsl::stats::float_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1740 of file statistics_float.hpp.

References max_index(), and min_index().

float_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::float_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_float_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 1668 of file statistics_float.hpp.

float_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::float_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_float_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1772 of file statistics_float.hpp.

float_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::float_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_float_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of floats of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1988 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::float_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_float_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of floats of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 2097 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::float_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_float_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of floats of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2012 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::float_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_float_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of floats of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2119 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::float_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_float_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1791 of file statistics_float.hpp.

float_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::float_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_float_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1760 of file statistics_float.hpp.

float_sd()

template<typename T >

double gsl::stats::float_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 1013 of file statistics_float.hpp.

float_sd_m() [1/2]

template<typename T >

double gsl::stats::float_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1545 of file statistics_float.hpp.

References mean().

float_sd_m() [2/2]

template<typename T >

double gsl::stats::float_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1536 of file statistics_float.hpp.

References mean().

float_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::float_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1053 of file statistics_float.hpp.

References mean().

float_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::float_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1043 of file statistics_float.hpp.

References mean().

float_skew()

template<typename T >

double gsl::stats::float_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 1099 of file statistics_float.hpp.

float_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::float_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_float_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1586 of file statistics_float.hpp.

References mean(), and sd().

float_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::float_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_float_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1575 of file statistics_float.hpp.

References mean(), and sd().

float_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::float_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_float_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1955 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::float_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_float_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2066 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::float_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_float_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1971 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::float_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_float_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2081 of file statistics_float.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

float_spearman()

template<typename T , typename U >

double gsl::stats::float_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_float_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1873 of file statistics_float.hpp.

float_trmean_from_sorted_data()

template<typename T >

double gsl::stats::float_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_double_float_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1900 of file statistics_float.hpp.

float_tss()

template<typename T >

double gsl::stats::float_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 1062 of file statistics_float.hpp.

float_tss_m() [1/2]

template<typename T >

double gsl::stats::float_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1081 of file statistics_float.hpp.

References mean().

float_tss_m() [2/2]

template<typename T >

double gsl::stats::float_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1072 of file statistics_float.hpp.

References mean().

float_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::float_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_float_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1682 of file statistics_float.hpp.

float_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::float_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_float_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1782 of file statistics_float.hpp.

float_variance()

template<typename T >

double gsl::stats::float_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_float_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 1004 of file statistics_float.hpp.

float_variance_m() [1/2]

template<typename T >

double gsl::stats::float_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1526 of file statistics_float.hpp.

References mean().

float_variance_m() [2/2]

template<typename T >

double gsl::stats::float_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1517 of file statistics_float.hpp.

References mean().

float_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::float_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1033 of file statistics_float.hpp.

References mean().

float_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::float_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1023 of file statistics_float.hpp.

References mean().

float_wabsdev() [1/2]

template<typename U , typename T >

double gsl::stats::float_wabsdev ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wabsdev().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighetd absolute deviation estimate

Definition at line 1240 of file statistics_float.hpp.

float_wabsdev() [2/2]

template<typename U , typename T >

double gsl::stats::float_wabsdev ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wabsdev().

Parameters

w	The weight array
data	An array of data values

Returns

The weighetd absolute deviation estimate

Definition at line 1414 of file statistics_float.hpp.

float_wabsdev_m() [1/2]

template<typename U , typename T >

double gsl::stats::float_wabsdev_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_float_wabsdev_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1303 of file statistics_float.hpp.

References wmean().

float_wabsdev_m() [2/2]

template<typename U , typename T >

double gsl::stats::float_wabsdev_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_float_wabsdev_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1462 of file statistics_float.hpp.

References wmean().

float_wkurtosis() [1/2]

template<typename U , typename T >

double gsl::stats::float_wkurtosis ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wkurtosis().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample kurtosis

Definition at line 1264 of file statistics_float.hpp.

float_wkurtosis() [2/2]

template<typename U , typename T >

double gsl::stats::float_wkurtosis ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wkurtosis().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample kurtosis

Definition at line 1432 of file statistics_float.hpp.

float_wkurtosis_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::float_wkurtosis_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_float_wkurtosis_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1333 of file statistics_float.hpp.

References wmean(), and wsd().

float_wkurtosis_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::float_wkurtosis_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_float_wkurtosis_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1484 of file statistics_float.hpp.

References wmean(), and wsd().

float_wmean() [1/2]

template<typename U , typename T >

double gsl::stats::float_wmean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wmean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample mean

Definition at line 1150 of file statistics_float.hpp.

float_wmean() [2/2]

template<typename U , typename T >

double gsl::stats::float_wmean ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wmean().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample mean

Definition at line 1346 of file statistics_float.hpp.

float_wsd() [1/2]

template<typename U , typename T >

double gsl::stats::float_wsd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wsd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample standard deviation

Definition at line 1174 of file statistics_float.hpp.

float_wsd() [2/2]

template<typename U , typename T >

double gsl::stats::float_wsd ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wsd().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample standard deviation

Definition at line 1364 of file statistics_float.hpp.

float_wsd_m() [1/2]

template<typename U , typename T >

double gsl::stats::float_wsd_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_float_wsd_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1290 of file statistics_float.hpp.

References wmean().

float_wsd_m() [2/2]

template<typename U , typename T >

double gsl::stats::float_wsd_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_float_wsd_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1452 of file statistics_float.hpp.

References wmean().

float_wsd_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::float_wsd_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_wsd_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1202 of file statistics_float.hpp.

References mean().

float_wsd_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::float_wsd_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_wsd_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1385 of file statistics_float.hpp.

References mean().

float_wskew() [1/2]

template<typename U , typename T >

double gsl::stats::float_wskew ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wskew().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample skewness

Definition at line 1252 of file statistics_float.hpp.

float_wskew() [2/2]

template<typename U , typename T >

double gsl::stats::float_wskew ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wskew().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample skewness

Definition at line 1423 of file statistics_float.hpp.

float_wskew_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::float_wskew_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_float_wskew_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1317 of file statistics_float.hpp.

References wmean(), and wsd().

float_wskew_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::float_wskew_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_float_wskew_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1473 of file statistics_float.hpp.

References wmean(), and wsd().

float_wtss() [1/2]

template<typename U , typename T >

double gsl::stats::float_wtss ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wtss().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted total sum of squares estimate

Definition at line 1215 of file statistics_float.hpp.

float_wtss() [2/2]

template<typename U , typename T >

double gsl::stats::float_wtss ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wtss().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted total sum of squares estimate

Definition at line 1395 of file statistics_float.hpp.

float_wtss_m() [1/2]

template<typename U , typename T >

double gsl::stats::float_wtss_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_float_wtss_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1228 of file statistics_float.hpp.

References wmean().

float_wtss_m() [2/2]

template<typename U , typename T >

double gsl::stats::float_wtss_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_float_wtss_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1405 of file statistics_float.hpp.

References wmean().

float_wvariance() [1/2]

template<typename U , typename T >

double gsl::stats::float_wvariance ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_float_wvariance().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample variance

Definition at line 1162 of file statistics_float.hpp.

float_wvariance() [2/2]

template<typename U , typename T >

double gsl::stats::float_wvariance ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_float_wvariance().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample variance

Definition at line 1355 of file statistics_float.hpp.

float_wvariance_m() [1/2]

template<typename U , typename T >

double gsl::stats::float_wvariance_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_float_wvariance_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1277 of file statistics_float.hpp.

References wmean().

float_wvariance_m() [2/2]

template<typename U , typename T >

double gsl::stats::float_wvariance_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_float_wvariance_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1442 of file statistics_float.hpp.

References wmean().

float_wvariance_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::float_wvariance_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_float_wvariance_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1187 of file statistics_float.hpp.

References mean().

float_wvariance_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::float_wvariance_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_float_wvariance_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1374 of file statistics_float.hpp.

References mean().

gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1912 of file statistics_double.hpp.

int_absdev()

template<typename T >

double gsl::stats::int_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_int.hpp.

int_absdev_m() [1/2]

template<typename T >

double gsl::stats::int_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_int.hpp.

References mean().

int_absdev_m() [2/2]

template<typename T >

double gsl::stats::int_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_int.hpp.

References mean().

int_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::int_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_int_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_int.hpp.

int_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::int_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_int_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_int.hpp.

int_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::int_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_int_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_int.hpp.

int_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::int_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_int_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_int.hpp.

int_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::int_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_int_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_int.hpp.

int_covariance_m() [2/2]

template<typename T >

double gsl::stats::int_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_int_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_int.hpp.

int_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::int_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_int_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_int.hpp.

References gsl::rstat::n().

int_kurtosis()

template<typename T >

double gsl::stats::int_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_int.hpp.

int_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::int_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_int_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_int.hpp.

References mean(), and sd().

int_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::int_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_int_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_int.hpp.

References mean(), and sd().

int_lag1_autocorrelation()

template<typename T >

double gsl::stats::int_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_int.hpp.

int_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::int_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_int.hpp.

References mean().

int_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::int_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_int.hpp.

References mean().

int_mad() [1/2]

template<typename T , typename U >

double gsl::stats::int_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_int_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_mad() [2/2]

template<typename T , typename U >

double gsl::stats::int_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_int_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::int_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_int_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::int_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_int_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_max()

template<typename T >

double gsl::stats::int_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_int.hpp.

int_max_index()

template<typename T >

size_t gsl::stats::int_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_int.hpp.

int_mean()

template<typename T >

double gsl::stats::int_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_int.hpp.

int_median()

template<typename T >

double gsl::stats::int_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_int.hpp.

References gsl::rstat::n().

int_median_from_sorted_data()

template<typename T >

double gsl::stats::int_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_int.hpp.

int_min()

template<typename T >

double gsl::stats::int_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_int.hpp.

int_min_index()

template<typename T >

size_t gsl::stats::int_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_int.hpp.

int_minmax()

template<typename T >

void gsl::stats::int_minmax ( int &  min, int &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_int.hpp.

References max(), and min().

int_minmax_index()

template<typename T >

void gsl::stats::int_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_int.hpp.

References max_index(), and min_index().

int_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::int_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_int_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_int.hpp.

int_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::int_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_int_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_int.hpp.

int_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

int gsl::stats::int_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_int_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::int_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_int_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

int gsl::stats::int_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_int_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::int_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_int_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::int_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_int_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_int.hpp.

int_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::int_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_int_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_int.hpp.

References gsl::rstat::n().

int_sd()

template<typename T >

double gsl::stats::int_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_int.hpp.

int_sd_m() [1/2]

template<typename T >

double gsl::stats::int_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_int.hpp.

References mean().

int_sd_m() [2/2]

template<typename T >

double gsl::stats::int_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_int.hpp.

References mean().

int_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::int_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_int.hpp.

References mean().

int_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::int_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_int.hpp.

References mean().

int_skew()

template<typename T >

double gsl::stats::int_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_int.hpp.

int_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::int_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_int_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_int.hpp.

References mean(), and sd().

int_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::int_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_int_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_int.hpp.

References mean(), and sd().

int_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::int_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_int_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::int_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_int_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::int_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_int_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::int_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_int_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_int.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

int_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::int_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_int_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_int.hpp.

int_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::int_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_int_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_int.hpp.

int_trmean_from_sorted_data()

template<typename T >

double gsl::stats::int_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_int_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_int.hpp.

References gsl::rstat::n().

int_tss()

template<typename T >

double gsl::stats::int_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_int.hpp.

int_tss_m() [1/2]

template<typename T >

double gsl::stats::int_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_int.hpp.

References mean().

int_tss_m() [2/2]

template<typename T >

double gsl::stats::int_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_int.hpp.

References mean().

int_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::int_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_int_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_int.hpp.

int_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::int_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_int_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_int.hpp.

int_variance()

template<typename T >

double gsl::stats::int_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_int_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_int.hpp.

int_variance_m() [1/2]

template<typename T >

double gsl::stats::int_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_int.hpp.

References mean().

int_variance_m() [2/2]

template<typename T >

double gsl::stats::int_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_int.hpp.

References mean().

int_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::int_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_int_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_int.hpp.

References mean().

int_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::int_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_int_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_int.hpp.

References mean().

kurtosis()

template<typename T >

double gsl::stats::kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 1109 of file statistics_double.hpp.

kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1609 of file statistics_double.hpp.

References mean(), and sd().

kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1598 of file statistics_double.hpp.

References mean(), and sd().

lag1_autocorrelation()

template<typename T >

double gsl::stats::lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 1118 of file statistics_double.hpp.

lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1629 of file statistics_double.hpp.

References mean().

lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1619 of file statistics_double.hpp.

References mean().

long_absdev()

template<typename T >

double gsl::stats::long_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_long.hpp.

long_absdev_m() [1/2]

template<typename T >

double gsl::stats::long_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_long.hpp.

References mean().

long_absdev_m() [2/2]

template<typename T >

double gsl::stats::long_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_long.hpp.

References mean().

long_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::long_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_long.hpp.

long_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::long_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_long.hpp.

long_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::long_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_long.hpp.

long_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::long_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_long.hpp.

long_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::long_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_long_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_long.hpp.

long_covariance_m() [2/2]

template<typename T >

double gsl::stats::long_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_long_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_long.hpp.

long_double_absdev()

template<typename T >

double gsl::stats::long_double_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 1090 of file statistics_long_double.hpp.

long_double_absdev_m() [1/2]

template<typename T >

double gsl::stats::long_double_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1564 of file statistics_long_double.hpp.

References mean().

long_double_absdev_m() [2/2]

template<typename T >

double gsl::stats::long_double_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 1555 of file statistics_long_double.hpp.

References mean().

long_double_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_double_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 1497 of file statistics_long_double.hpp.

long_double_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_double_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 1507 of file statistics_long_double.hpp.

long_double_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_double_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 1128 of file statistics_long_double.hpp.

long_double_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_double_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 1138 of file statistics_long_double.hpp.

long_double_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_long_double_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1641 of file statistics_long_double.hpp.

long_double_covariance_m() [2/2]

template<typename T >

double gsl::stats::long_double_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_long_double_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 1655 of file statistics_long_double.hpp.

long_double_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::long_double_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_long_double_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1911 of file statistics_long_double.hpp.

long_double_kurtosis()

template<typename T >

double gsl::stats::long_double_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 1108 of file statistics_long_double.hpp.

long_double_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::long_double_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_double_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1608 of file statistics_long_double.hpp.

References mean(), and sd().

long_double_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::long_double_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_double_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 1597 of file statistics_long_double.hpp.

References mean(), and sd().

long_double_lag1_autocorrelation()

template<typename T >

double gsl::stats::long_double_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 1117 of file statistics_long_double.hpp.

long_double_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::long_double_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1628 of file statistics_long_double.hpp.

References mean().

long_double_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::long_double_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 1618 of file statistics_long_double.hpp.

References mean().

long_double_mad() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_double_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1938 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_mad() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_long_double_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 2050 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_double_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1922 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_long_double_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 2035 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_max()

template<typename T >

double gsl::stats::long_double_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 1693 of file statistics_long_double.hpp.

long_double_max_index()

template<typename T >

size_t gsl::stats::long_double_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1721 of file statistics_long_double.hpp.

long_double_mean()

template<typename T >

double gsl::stats::long_double_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 995 of file statistics_long_double.hpp.

long_double_median()

template<typename T >

double gsl::stats::long_double_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_double_long_double_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1890 of file statistics_long_double.hpp.

long_double_median_from_sorted_data()

template<typename T >

double gsl::stats::long_double_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1750 of file statistics_long_double.hpp.

long_double_min()

template<typename T >

double gsl::stats::long_double_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 1702 of file statistics_long_double.hpp.

long_double_min_index()

template<typename T >

size_t gsl::stats::long_double_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1730 of file statistics_long_double.hpp.

long_double_minmax()

template<typename T >

void gsl::stats::long_double_minmax ( long double &  min, long double &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1712 of file statistics_long_double.hpp.

References max(), and min().

long_double_minmax_index()

template<typename T >

void gsl::stats::long_double_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1740 of file statistics_long_double.hpp.

References max_index(), and min_index().

long_double_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_double_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 1668 of file statistics_long_double.hpp.

long_double_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_double_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1772 of file statistics_long_double.hpp.

long_double_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::long_double_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_double_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of long doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1988 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::long_double_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_double_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of long doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 2097 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::long_double_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_double_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of long doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2012 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::long_double_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_double_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of long doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2119 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::long_double_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_long_double_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1791 of file statistics_long_double.hpp.

long_double_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::long_double_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_long_double_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1760 of file statistics_long_double.hpp.

long_double_sd()

template<typename T >

double gsl::stats::long_double_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 1013 of file statistics_long_double.hpp.

long_double_sd_m() [1/2]

template<typename T >

double gsl::stats::long_double_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1545 of file statistics_long_double.hpp.

References mean().

long_double_sd_m() [2/2]

template<typename T >

double gsl::stats::long_double_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1536 of file statistics_long_double.hpp.

References mean().

long_double_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::long_double_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1053 of file statistics_long_double.hpp.

References mean().

long_double_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::long_double_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1043 of file statistics_long_double.hpp.

References mean().

long_double_skew()

template<typename T >

double gsl::stats::long_double_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 1099 of file statistics_long_double.hpp.

long_double_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::long_double_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_double_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1586 of file statistics_long_double.hpp.

References mean(), and sd().

long_double_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::long_double_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_double_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1575 of file statistics_long_double.hpp.

References mean(), and sd().

long_double_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_double_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1955 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_long_double_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2066 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_double_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1971 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_long_double_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2081 of file statistics_long_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_double_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_long_double_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1850 of file statistics_long_double.hpp.

long_double_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_long_double_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1873 of file statistics_long_double.hpp.

long_double_trmean_from_sorted_data()

template<typename T >

double gsl::stats::long_double_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_double_long_double_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1900 of file statistics_long_double.hpp.

long_double_tss()

template<typename T >

double gsl::stats::long_double_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 1062 of file statistics_long_double.hpp.

long_double_tss_m() [1/2]

template<typename T >

double gsl::stats::long_double_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1081 of file statistics_long_double.hpp.

References mean().

long_double_tss_m() [2/2]

template<typename T >

double gsl::stats::long_double_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1072 of file statistics_long_double.hpp.

References mean().

long_double_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::long_double_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_double_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1682 of file statistics_long_double.hpp.

long_double_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::long_double_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_double_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1782 of file statistics_long_double.hpp.

long_double_variance()

template<typename T >

double gsl::stats::long_double_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_double_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 1004 of file statistics_long_double.hpp.

long_double_variance_m() [1/2]

template<typename T >

double gsl::stats::long_double_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1526 of file statistics_long_double.hpp.

References mean().

long_double_variance_m() [2/2]

template<typename T >

double gsl::stats::long_double_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1517 of file statistics_long_double.hpp.

References mean().

long_double_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::long_double_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1033 of file statistics_long_double.hpp.

References mean().

long_double_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::long_double_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1023 of file statistics_long_double.hpp.

References mean().

long_double_wabsdev() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wabsdev ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wabsdev().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighetd absolute deviation estimate

Definition at line 1240 of file statistics_long_double.hpp.

long_double_wabsdev() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wabsdev ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wabsdev().

Parameters

w	The weight array
data	An array of data values

Returns

The weighetd absolute deviation estimate

Definition at line 1414 of file statistics_long_double.hpp.

long_double_wabsdev_m() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wabsdev_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wabsdev_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1303 of file statistics_long_double.hpp.

References wmean().

long_double_wabsdev_m() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wabsdev_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wabsdev_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1462 of file statistics_long_double.hpp.

References wmean().

long_double_wkurtosis() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wkurtosis ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wkurtosis().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample kurtosis

Definition at line 1264 of file statistics_long_double.hpp.

long_double_wkurtosis() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wkurtosis ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wkurtosis().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample kurtosis

Definition at line 1432 of file statistics_long_double.hpp.

long_double_wkurtosis_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wkurtosis_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_long_double_wkurtosis_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1333 of file statistics_long_double.hpp.

References wmean(), and wsd().

long_double_wkurtosis_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wkurtosis_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_long_double_wkurtosis_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1484 of file statistics_long_double.hpp.

References wmean(), and wsd().

long_double_wmean() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wmean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wmean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample mean

Definition at line 1150 of file statistics_long_double.hpp.

long_double_wmean() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wmean ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wmean().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample mean

Definition at line 1346 of file statistics_long_double.hpp.

long_double_wsd() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wsd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample standard deviation

Definition at line 1174 of file statistics_long_double.hpp.

long_double_wsd() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wsd().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample standard deviation

Definition at line 1364 of file statistics_long_double.hpp.

long_double_wsd_m() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wsd_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1290 of file statistics_long_double.hpp.

References wmean().

long_double_wsd_m() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wsd_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1452 of file statistics_long_double.hpp.

References wmean().

long_double_wsd_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_wsd_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1202 of file statistics_long_double.hpp.

References mean().

long_double_wsd_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wsd_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_wsd_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1385 of file statistics_long_double.hpp.

References mean().

long_double_wskew() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wskew ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wskew().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample skewness

Definition at line 1252 of file statistics_long_double.hpp.

long_double_wskew() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wskew ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wskew().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample skewness

Definition at line 1423 of file statistics_long_double.hpp.

long_double_wskew_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wskew_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_long_double_wskew_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1317 of file statistics_long_double.hpp.

References wmean(), and wsd().

long_double_wskew_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wskew_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_long_double_wskew_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1473 of file statistics_long_double.hpp.

References wmean(), and wsd().

long_double_wtss() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wtss ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wtss().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted total sum of squares estimate

Definition at line 1215 of file statistics_long_double.hpp.

long_double_wtss() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wtss ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wtss().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted total sum of squares estimate

Definition at line 1395 of file statistics_long_double.hpp.

long_double_wtss_m() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wtss_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wtss_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1228 of file statistics_long_double.hpp.

References wmean().

long_double_wtss_m() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wtss_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wtss_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1405 of file statistics_long_double.hpp.

References wmean().

long_double_wvariance() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_long_double_wvariance().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample variance

Definition at line 1162 of file statistics_long_double.hpp.

long_double_wvariance() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_long_double_wvariance().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample variance

Definition at line 1355 of file statistics_long_double.hpp.

long_double_wvariance_m() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wvariance_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1277 of file statistics_long_double.hpp.

References wmean().

long_double_wvariance_m() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_long_double_wvariance_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1442 of file statistics_long_double.hpp.

References wmean().

long_double_wvariance_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_double_wvariance_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1187 of file statistics_long_double.hpp.

References mean().

long_double_wvariance_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::long_double_wvariance_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_double_wvariance_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1374 of file statistics_long_double.hpp.

References mean().

long_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::long_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_long_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_long.hpp.

References gsl::rstat::n().

long_kurtosis()

template<typename T >

double gsl::stats::long_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_long.hpp.

long_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::long_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_long.hpp.

References mean(), and sd().

long_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::long_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_long.hpp.

References mean(), and sd().

long_lag1_autocorrelation()

template<typename T >

double gsl::stats::long_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_long.hpp.

long_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::long_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_long.hpp.

References mean().

long_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::long_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_long.hpp.

References mean().

long_mad() [1/2]

template<typename T , typename U >

double gsl::stats::long_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_mad() [2/2]

template<typename T , typename U >

double gsl::stats::long_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_long_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::long_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::long_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_long_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_max()

template<typename T >

double gsl::stats::long_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_long.hpp.

long_max_index()

template<typename T >

size_t gsl::stats::long_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_long.hpp.

long_mean()

template<typename T >

double gsl::stats::long_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_long.hpp.

long_median()

template<typename T >

double gsl::stats::long_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_long.hpp.

References gsl::rstat::n().

long_median_from_sorted_data()

template<typename T >

double gsl::stats::long_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_long.hpp.

long_min()

template<typename T >

double gsl::stats::long_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_long.hpp.

long_min_index()

template<typename T >

size_t gsl::stats::long_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_long.hpp.

long_minmax()

template<typename T >

void gsl::stats::long_minmax ( long &  min, long &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_long.hpp.

References max(), and min().

long_minmax_index()

template<typename T >

void gsl::stats::long_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_long.hpp.

References max_index(), and min_index().

long_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::long_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_long.hpp.

long_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::long_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_long.hpp.

long_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

long gsl::stats::long_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::long_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

long gsl::stats::long_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::long_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_long_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::long_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_long_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_long.hpp.

long_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::long_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_long_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_long.hpp.

References gsl::rstat::n().

long_sd()

template<typename T >

double gsl::stats::long_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_long.hpp.

long_sd_m() [1/2]

template<typename T >

double gsl::stats::long_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_long.hpp.

References mean().

long_sd_m() [2/2]

template<typename T >

double gsl::stats::long_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_long.hpp.

References mean().

long_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::long_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_long.hpp.

References mean().

long_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::long_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_long.hpp.

References mean().

long_skew()

template<typename T >

double gsl::stats::long_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_long.hpp.

long_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::long_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_long.hpp.

References mean(), and sd().

long_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::long_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_long_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_long.hpp.

References mean(), and sd().

long_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::long_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::long_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_long_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::long_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_long_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::long_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_long_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_long.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

long_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::long_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_long_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_long.hpp.

long_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::long_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_long_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_long.hpp.

long_trmean_from_sorted_data()

template<typename T >

double gsl::stats::long_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_long_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_long.hpp.

References gsl::rstat::n().

long_tss()

template<typename T >

double gsl::stats::long_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_long.hpp.

long_tss_m() [1/2]

template<typename T >

double gsl::stats::long_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_long.hpp.

References mean().

long_tss_m() [2/2]

template<typename T >

double gsl::stats::long_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_long.hpp.

References mean().

long_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::long_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_long_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_long.hpp.

long_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::long_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_long_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_long.hpp.

long_variance()

template<typename T >

double gsl::stats::long_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_long_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_long.hpp.

long_variance_m() [1/2]

template<typename T >

double gsl::stats::long_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_long.hpp.

References mean().

long_variance_m() [2/2]

template<typename T >

double gsl::stats::long_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_long.hpp.

References mean().

long_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::long_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_long_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_long.hpp.

References mean().

long_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::long_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_long_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_long.hpp.

References mean().

mad() [1/2]

template<typename T , typename U >

double gsl::stats::mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1939 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

mad() [2/2]

template<typename T , typename U >

double gsl::stats::mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 2051 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

mad0() [1/2]

template<typename T , typename U >

double gsl::stats::mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1923 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

mad0() [2/2]

template<typename T , typename U >

double gsl::stats::mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 2036 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

max()

template<typename T >

double gsl::stats::max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 1694 of file statistics_double.hpp.

Referenced by char_minmax(), float_minmax(), int_minmax(), long_double_minmax(), long_minmax(), minmax(), short_minmax(), uchar_minmax(), uint_minmax(), ulong_minmax(), and ushort_minmax().

max_index()

template<typename T >

size_t gsl::stats::max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1722 of file statistics_double.hpp.

Referenced by char_minmax_index(), float_minmax_index(), int_minmax_index(), long_double_minmax_index(), long_minmax_index(), minmax_index(), short_minmax_index(), uchar_minmax_index(), uint_minmax_index(), ulong_minmax_index(), and ushort_minmax_index().

mean()

template<typename T >

double gsl::stats::mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 996 of file statistics_double.hpp.

Referenced by absdev_m(), char_absdev_m(), char_kurtosis_m_sd(), char_lag1_autocorrelation_m(), char_sd_m(), char_sd_with_fixed_mean(), char_skew_m_sd(), char_tss_m(), char_variance_m(), char_variance_with_fixed_mean(), float_absdev_m(), float_kurtosis_m_sd(), float_lag1_autocorrelation_m(), float_sd_m(), float_sd_with_fixed_mean(), float_skew_m_sd(), float_tss_m(), float_variance_m(), float_variance_with_fixed_mean(), float_wsd_with_fixed_mean(), float_wvariance_with_fixed_mean(), int_absdev_m(), int_kurtosis_m_sd(), int_lag1_autocorrelation_m(), int_sd_m(), int_sd_with_fixed_mean(), int_skew_m_sd(), int_tss_m(), int_variance_m(), int_variance_with_fixed_mean(), kurtosis_m_sd(), lag1_autocorrelation_m(), long_absdev_m(), long_double_absdev_m(), long_double_kurtosis_m_sd(), long_double_lag1_autocorrelation_m(), long_double_sd_m(), long_double_sd_with_fixed_mean(), long_double_skew_m_sd(), long_double_tss_m(), long_double_variance_m(), long_double_variance_with_fixed_mean(), long_double_wsd_with_fixed_mean(), long_double_wvariance_with_fixed_mean(), long_kurtosis_m_sd(), long_lag1_autocorrelation_m(), long_sd_m(), long_sd_with_fixed_mean(), long_skew_m_sd(), long_tss_m(), long_variance_m(), long_variance_with_fixed_mean(), sd_m(), sd_with_fixed_mean(), short_absdev_m(), short_kurtosis_m_sd(), short_lag1_autocorrelation_m(), short_sd_m(), short_sd_with_fixed_mean(), short_skew_m_sd(), short_tss_m(), short_variance_m(), short_variance_with_fixed_mean(), skew_m_sd(), tss_m(), uchar_absdev_m(), uchar_kurtosis_m_sd(), uchar_lag1_autocorrelation_m(), uchar_sd_m(), uchar_sd_with_fixed_mean(), uchar_skew_m_sd(), uchar_tss_m(), uchar_variance_m(), uchar_variance_with_fixed_mean(), uint_absdev_m(), uint_kurtosis_m_sd(), uint_lag1_autocorrelation_m(), uint_sd_m(), uint_sd_with_fixed_mean(), uint_skew_m_sd(), uint_tss_m(), uint_variance_m(), uint_variance_with_fixed_mean(), ulong_absdev_m(), ulong_kurtosis_m_sd(), ulong_lag1_autocorrelation_m(), ulong_sd_m(), ulong_sd_with_fixed_mean(), ulong_skew_m_sd(), ulong_tss_m(), ulong_variance_m(), ulong_variance_with_fixed_mean(), ushort_absdev_m(), ushort_kurtosis_m_sd(), ushort_lag1_autocorrelation_m(), ushort_sd_m(), ushort_sd_with_fixed_mean(), ushort_skew_m_sd(), ushort_tss_m(), ushort_variance_m(), ushort_variance_with_fixed_mean(), variance_m(), variance_with_fixed_mean(), wsd_with_fixed_mean(), and wvariance_with_fixed_mean().

median()

template<typename T >

double gsl::stats::median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_double_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1891 of file statistics_double.hpp.

median_from_sorted_data()

template<typename T >

double gsl::stats::median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1751 of file statistics_double.hpp.

min()

template<typename T >

double gsl::stats::min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 1703 of file statistics_double.hpp.

Referenced by char_minmax(), float_minmax(), int_minmax(), long_double_minmax(), long_minmax(), minmax(), short_minmax(), uchar_minmax(), uint_minmax(), ulong_minmax(), and ushort_minmax().

min_index()

template<typename T >

size_t gsl::stats::min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1731 of file statistics_double.hpp.

Referenced by char_minmax_index(), float_minmax_index(), int_minmax_index(), long_double_minmax_index(), long_minmax_index(), minmax_index(), short_minmax_index(), uchar_minmax_index(), uint_minmax_index(), ulong_minmax_index(), and ushort_minmax_index().

minmax()

template<typename T >

void gsl::stats::minmax ( double &  min, double &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1713 of file statistics_double.hpp.

References max(), and min().

minmax_index()

template<typename T >

void gsl::stats::minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1741 of file statistics_double.hpp.

References max_index(), and min_index().

pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 1669 of file statistics_double.hpp.

pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1773 of file statistics_double.hpp.

Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1989 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 2098 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

double gsl::stats::Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2013 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 2120 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1792 of file statistics_double.hpp.

quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1761 of file statistics_double.hpp.

sd()

template<typename T >

double gsl::stats::sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 1014 of file statistics_double.hpp.

Referenced by char_kurtosis_m_sd(), char_skew_m_sd(), float_kurtosis_m_sd(), float_skew_m_sd(), int_kurtosis_m_sd(), int_skew_m_sd(), kurtosis_m_sd(), long_double_kurtosis_m_sd(), long_double_skew_m_sd(), long_kurtosis_m_sd(), long_skew_m_sd(), short_kurtosis_m_sd(), short_skew_m_sd(), skew_m_sd(), uchar_kurtosis_m_sd(), uchar_skew_m_sd(), uint_kurtosis_m_sd(), uint_skew_m_sd(), ulong_kurtosis_m_sd(), ulong_skew_m_sd(), ushort_kurtosis_m_sd(), and ushort_skew_m_sd().

sd_m() [1/2]

template<typename T >

double gsl::stats::sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1546 of file statistics_double.hpp.

References mean().

sd_m() [2/2]

template<typename T >

double gsl::stats::sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 1537 of file statistics_double.hpp.

References mean().

sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1054 of file statistics_double.hpp.

References mean().

sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 1044 of file statistics_double.hpp.

References mean().

short_absdev()

template<typename T >

double gsl::stats::short_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_short.hpp.

short_absdev_m() [1/2]

template<typename T >

double gsl::stats::short_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_short.hpp.

References mean().

short_absdev_m() [2/2]

template<typename T >

double gsl::stats::short_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_short.hpp.

References mean().

short_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::short_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_short_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_short.hpp.

short_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::short_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_short_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_short.hpp.

short_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::short_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_short_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_short.hpp.

short_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::short_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_short_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_short.hpp.

short_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::short_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_short_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_short.hpp.

short_covariance_m() [2/2]

template<typename T >

double gsl::stats::short_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_short_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_short.hpp.

short_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::short_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_short_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_short.hpp.

References gsl::rstat::n().

short_kurtosis()

template<typename T >

double gsl::stats::short_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_short.hpp.

short_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::short_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_short_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_short.hpp.

References mean(), and sd().

short_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::short_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_short_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_short.hpp.

References mean(), and sd().

short_lag1_autocorrelation()

template<typename T >

double gsl::stats::short_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_short.hpp.

short_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::short_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_short.hpp.

References mean().

short_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::short_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_short.hpp.

References mean().

short_mad() [1/2]

template<typename T , typename U >

double gsl::stats::short_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_short_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_mad() [2/2]

template<typename T , typename U >

double gsl::stats::short_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_short_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::short_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_short_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::short_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_short_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_max()

template<typename T >

double gsl::stats::short_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_short.hpp.

short_max_index()

template<typename T >

size_t gsl::stats::short_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_short.hpp.

short_mean()

template<typename T >

double gsl::stats::short_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_short.hpp.

short_median()

template<typename T >

double gsl::stats::short_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_short.hpp.

References gsl::rstat::n().

short_median_from_sorted_data()

template<typename T >

double gsl::stats::short_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_short.hpp.

short_min()

template<typename T >

double gsl::stats::short_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_short.hpp.

short_min_index()

template<typename T >

size_t gsl::stats::short_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_short.hpp.

short_minmax()

template<typename T >

void gsl::stats::short_minmax ( short &  min, short &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_short.hpp.

References max(), and min().

short_minmax_index()

template<typename T >

void gsl::stats::short_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_short.hpp.

References max_index(), and min_index().

short_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::short_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_short_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_short.hpp.

short_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::short_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_short_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_short.hpp.

short_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

short gsl::stats::short_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_short_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::short_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_short_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

short gsl::stats::short_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_short_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::short_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_short_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::short_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_short_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_short.hpp.

short_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::short_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_short_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_short.hpp.

References gsl::rstat::n().

short_sd()

template<typename T >

double gsl::stats::short_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_short.hpp.

short_sd_m() [1/2]

template<typename T >

double gsl::stats::short_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_short.hpp.

References mean().

short_sd_m() [2/2]

template<typename T >

double gsl::stats::short_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_short.hpp.

References mean().

short_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::short_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_short.hpp.

References mean().

short_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::short_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_short.hpp.

References mean().

short_skew()

template<typename T >

double gsl::stats::short_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_short.hpp.

short_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::short_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_short_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_short.hpp.

References mean(), and sd().

short_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::short_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_short_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_short.hpp.

References mean(), and sd().

short_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::short_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_short_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::short_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_short_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::short_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_short_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::short_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_short_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_short.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

short_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::short_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_short_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_short.hpp.

short_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::short_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_short_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_short.hpp.

short_trmean_from_sorted_data()

template<typename T >

double gsl::stats::short_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_short_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_short.hpp.

References gsl::rstat::n().

short_tss()

template<typename T >

double gsl::stats::short_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_short.hpp.

short_tss_m() [1/2]

template<typename T >

double gsl::stats::short_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_short.hpp.

References mean().

short_tss_m() [2/2]

template<typename T >

double gsl::stats::short_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_short.hpp.

References mean().

short_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::short_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_short_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_short.hpp.

short_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::short_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_short_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_short.hpp.

short_variance()

template<typename T >

double gsl::stats::short_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_short_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_short.hpp.

short_variance_m() [1/2]

template<typename T >

double gsl::stats::short_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_short.hpp.

References mean().

short_variance_m() [2/2]

template<typename T >

double gsl::stats::short_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_short.hpp.

References mean().

short_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::short_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_short_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_short.hpp.

References mean().

short_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::short_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_short_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_short.hpp.

References mean().

skew()

template<typename T >

double gsl::stats::skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 1100 of file statistics_double.hpp.

skew_m_sd() [1/2]

template<typename T >

double gsl::stats::skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1587 of file statistics_double.hpp.

References mean(), and sd().

skew_m_sd() [2/2]

template<typename T >

double gsl::stats::skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 1576 of file statistics_double.hpp.

References mean(), and sd().

Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1956 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2067 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1972 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 2082 of file statistics_double.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

spearman() [1/2]

template<typename T , typename U >

double gsl::stats::spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1851 of file statistics_double.hpp.

spearman() [2/2]

template<typename T , typename U >

double gsl::stats::spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1874 of file statistics_double.hpp.

trmean_from_sorted_data()

template<typename T >

double gsl::stats::trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_double_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1901 of file statistics_double.hpp.

tss()

template<typename T >

double gsl::stats::tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 1063 of file statistics_double.hpp.

tss_m() [1/2]

template<typename T >

double gsl::stats::tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1082 of file statistics_double.hpp.

References mean().

tss_m() [2/2]

template<typename T >

double gsl::stats::tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 1073 of file statistics_double.hpp.

References mean().

ttest() [1/2]

template<typename T , typename U >

double gsl::stats::ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1683 of file statistics_double.hpp.

ttest() [2/2]

template<typename T , typename U >

double gsl::stats::ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1783 of file statistics_double.hpp.

uchar_absdev()

template<typename T >

double gsl::stats::uchar_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_uchar.hpp.

uchar_absdev_m() [1/2]

template<typename T >

double gsl::stats::uchar_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_uchar.hpp.

References mean().

uchar_absdev_m() [2/2]

template<typename T >

double gsl::stats::uchar_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_uchar.hpp.

References mean().

uchar_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uchar_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_uchar.hpp.

uchar_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uchar_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_uchar.hpp.

uchar_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uchar_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_uchar.hpp.

uchar_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uchar_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_uchar.hpp.

uchar_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_uchar_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_uchar.hpp.

uchar_covariance_m() [2/2]

template<typename T >

double gsl::stats::uchar_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_uchar_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_uchar.hpp.

uchar_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::uchar_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_uchar_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_uchar.hpp.

References gsl::rstat::n().

uchar_kurtosis()

template<typename T >

double gsl::stats::uchar_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_uchar.hpp.

uchar_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::uchar_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uchar_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_uchar.hpp.

References mean(), and sd().

uchar_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::uchar_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uchar_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_uchar.hpp.

References mean(), and sd().

uchar_lag1_autocorrelation()

template<typename T >

double gsl::stats::uchar_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_uchar.hpp.

uchar_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::uchar_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_uchar.hpp.

References mean().

uchar_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::uchar_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_uchar.hpp.

References mean().

uchar_mad() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uchar_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_mad() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_uchar_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uchar_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_uchar_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_max()

template<typename T >

double gsl::stats::uchar_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_uchar.hpp.

uchar_max_index()

template<typename T >

size_t gsl::stats::uchar_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_uchar.hpp.

uchar_mean()

template<typename T >

double gsl::stats::uchar_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_uchar.hpp.

uchar_median()

template<typename T >

double gsl::stats::uchar_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_uchar.hpp.

References gsl::rstat::n().

uchar_median_from_sorted_data()

template<typename T >

double gsl::stats::uchar_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_uchar.hpp.

uchar_min()

template<typename T >

double gsl::stats::uchar_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_uchar.hpp.

uchar_min_index()

template<typename T >

size_t gsl::stats::uchar_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_uchar.hpp.

uchar_minmax()

template<typename T >

void gsl::stats::uchar_minmax ( unsigned char &  min, unsigned char &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_uchar.hpp.

References max(), and min().

uchar_minmax_index()

template<typename T >

void gsl::stats::uchar_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_uchar.hpp.

References max_index(), and min_index().

uchar_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uchar_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_uchar.hpp.

uchar_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uchar_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_uchar.hpp.

uchar_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned char gsl::stats::uchar_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uchar_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::uchar_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uchar_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned char gsl::stats::uchar_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uchar_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned chars of length n
work_int	An array of ints of length n

Returns

Qn

Definition at line 1310 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::uchar_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uchar_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned chars of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::uchar_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_uchar_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_uchar.hpp.

uchar_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::uchar_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_uchar_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_uchar.hpp.

References gsl::rstat::n().

uchar_sd()

template<typename T >

double gsl::stats::uchar_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_uchar.hpp.

uchar_sd_m() [1/2]

template<typename T >

double gsl::stats::uchar_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_uchar.hpp.

References mean().

uchar_sd_m() [2/2]

template<typename T >

double gsl::stats::uchar_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_uchar.hpp.

References mean().

uchar_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::uchar_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_uchar.hpp.

References mean().

uchar_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::uchar_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_uchar.hpp.

References mean().

uchar_skew()

template<typename T >

double gsl::stats::uchar_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_uchar.hpp.

uchar_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::uchar_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uchar_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_uchar.hpp.

References mean(), and sd().

uchar_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::uchar_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uchar_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_uchar.hpp.

References mean(), and sd().

uchar_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uchar_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_uchar_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uchar_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_uchar_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_uchar.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uchar_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_uchar_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_uchar.hpp.

uchar_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_uchar_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_uchar.hpp.

uchar_trmean_from_sorted_data()

template<typename T >

double gsl::stats::uchar_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_uchar_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_uchar.hpp.

References gsl::rstat::n().

uchar_tss()

template<typename T >

double gsl::stats::uchar_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_uchar.hpp.

uchar_tss_m() [1/2]

template<typename T >

double gsl::stats::uchar_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_uchar.hpp.

References mean().

uchar_tss_m() [2/2]

template<typename T >

double gsl::stats::uchar_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_uchar.hpp.

References mean().

uchar_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::uchar_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uchar_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_uchar.hpp.

uchar_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::uchar_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uchar_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_uchar.hpp.

uchar_variance()

template<typename T >

double gsl::stats::uchar_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uchar_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_uchar.hpp.

uchar_variance_m() [1/2]

template<typename T >

double gsl::stats::uchar_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_uchar.hpp.

References mean().

uchar_variance_m() [2/2]

template<typename T >

double gsl::stats::uchar_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_uchar.hpp.

References mean().

uchar_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::uchar_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uchar_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_uchar.hpp.

References mean().

uchar_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::uchar_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uchar_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_uchar.hpp.

References mean().

uint_absdev()

template<typename T >

double gsl::stats::uint_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_uint.hpp.

uint_absdev_m() [1/2]

template<typename T >

double gsl::stats::uint_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_uint.hpp.

References mean().

uint_absdev_m() [2/2]

template<typename T >

double gsl::stats::uint_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_uint.hpp.

References mean().

uint_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::uint_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uint_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_uint.hpp.

uint_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::uint_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uint_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_uint.hpp.

uint_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::uint_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uint_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_uint.hpp.

uint_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::uint_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uint_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_uint.hpp.

uint_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::uint_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_uint_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_uint.hpp.

uint_covariance_m() [2/2]

template<typename T >

double gsl::stats::uint_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_uint_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_uint.hpp.

uint_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::uint_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_uint_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_uint.hpp.

References gsl::rstat::n().

uint_kurtosis()

template<typename T >

double gsl::stats::uint_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_uint.hpp.

uint_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::uint_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uint_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_uint.hpp.

References mean(), and sd().

uint_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::uint_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uint_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_uint.hpp.

References mean(), and sd().

uint_lag1_autocorrelation()

template<typename T >

double gsl::stats::uint_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_uint.hpp.

uint_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::uint_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_uint.hpp.

References mean().

uint_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::uint_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_uint.hpp.

References mean().

uint_mad() [1/2]

template<typename T , typename U >

double gsl::stats::uint_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uint_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_mad() [2/2]

template<typename T , typename U >

double gsl::stats::uint_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_uint_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::uint_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uint_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::uint_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_uint_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_max()

template<typename T >

double gsl::stats::uint_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_uint.hpp.

uint_max_index()

template<typename T >

size_t gsl::stats::uint_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_uint.hpp.

uint_mean()

template<typename T >

double gsl::stats::uint_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_uint.hpp.

uint_median()

template<typename T >

double gsl::stats::uint_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_uint.hpp.

References gsl::rstat::n().

uint_median_from_sorted_data()

template<typename T >

double gsl::stats::uint_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_uint.hpp.

uint_min()

template<typename T >

double gsl::stats::uint_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_uint.hpp.

uint_min_index()

template<typename T >

size_t gsl::stats::uint_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_uint.hpp.

uint_minmax()

template<typename T >

void gsl::stats::uint_minmax ( unsigned int &  min, unsigned int &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_uint.hpp.

References max(), and min().

uint_minmax_index()

template<typename T >

void gsl::stats::uint_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_uint.hpp.

References max_index(), and min_index().

uint_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::uint_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uint_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_uint.hpp.

uint_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::uint_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uint_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_uint.hpp.

uint_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned int gsl::stats::uint_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uint_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::uint_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uint_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned int gsl::stats::uint_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uint_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::uint_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_uint_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned ints of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::uint_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_uint_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_uint.hpp.

uint_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::uint_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_uint_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_uint.hpp.

References gsl::rstat::n().

uint_sd()

template<typename T >

double gsl::stats::uint_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_uint.hpp.

uint_sd_m() [1/2]

template<typename T >

double gsl::stats::uint_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_uint.hpp.

References mean().

uint_sd_m() [2/2]

template<typename T >

double gsl::stats::uint_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_uint.hpp.

References mean().

uint_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::uint_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_uint.hpp.

References mean().

uint_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::uint_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_uint.hpp.

References mean().

uint_skew()

template<typename T >

double gsl::stats::uint_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_uint.hpp.

uint_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::uint_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uint_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_uint.hpp.

References mean(), and sd().

uint_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::uint_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_uint_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_uint.hpp.

References mean(), and sd().

uint_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::uint_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uint_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::uint_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_uint_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::uint_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_uint_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::uint_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_uint_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_uint.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

uint_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::uint_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_uint_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_uint.hpp.

uint_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::uint_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_uint_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_uint.hpp.

uint_trmean_from_sorted_data()

template<typename T >

double gsl::stats::uint_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_uint_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_uint.hpp.

References gsl::rstat::n().

uint_tss()

template<typename T >

double gsl::stats::uint_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_uint.hpp.

uint_tss_m() [1/2]

template<typename T >

double gsl::stats::uint_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_uint.hpp.

References mean().

uint_tss_m() [2/2]

template<typename T >

double gsl::stats::uint_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_uint.hpp.

References mean().

uint_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::uint_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_uint_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_uint.hpp.

uint_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::uint_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_uint_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_uint.hpp.

uint_variance()

template<typename T >

double gsl::stats::uint_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_uint_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_uint.hpp.

uint_variance_m() [1/2]

template<typename T >

double gsl::stats::uint_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_uint.hpp.

References mean().

uint_variance_m() [2/2]

template<typename T >

double gsl::stats::uint_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_uint.hpp.

References mean().

uint_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::uint_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_uint_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_uint.hpp.

References mean().

uint_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::uint_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_uint_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_uint.hpp.

References mean().

ulong_absdev()

template<typename T >

double gsl::stats::ulong_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_ulong.hpp.

ulong_absdev_m() [1/2]

template<typename T >

double gsl::stats::ulong_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_ulong.hpp.

References mean().

ulong_absdev_m() [2/2]

template<typename T >

double gsl::stats::ulong_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_ulong.hpp.

References mean().

ulong_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ulong_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_ulong.hpp.

ulong_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ulong_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_ulong.hpp.

ulong_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ulong_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_ulong.hpp.

ulong_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ulong_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_ulong.hpp.

ulong_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_ulong_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_ulong.hpp.

ulong_covariance_m() [2/2]

template<typename T >

double gsl::stats::ulong_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_ulong_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_ulong.hpp.

ulong_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::ulong_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_ulong_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_ulong.hpp.

References gsl::rstat::n().

ulong_kurtosis()

template<typename T >

double gsl::stats::ulong_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_ulong.hpp.

ulong_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::ulong_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ulong_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_ulong.hpp.

References mean(), and sd().

ulong_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::ulong_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ulong_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_ulong.hpp.

References mean(), and sd().

ulong_lag1_autocorrelation()

template<typename T >

double gsl::stats::ulong_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_ulong.hpp.

ulong_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::ulong_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_ulong.hpp.

References mean().

ulong_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::ulong_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_ulong.hpp.

References mean().

ulong_mad() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ulong_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_mad() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_ulong_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ulong_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_ulong_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_max()

template<typename T >

double gsl::stats::ulong_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_ulong.hpp.

ulong_max_index()

template<typename T >

size_t gsl::stats::ulong_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_ulong.hpp.

ulong_mean()

template<typename T >

double gsl::stats::ulong_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_ulong.hpp.

ulong_median()

template<typename T >

double gsl::stats::ulong_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_ulong.hpp.

References gsl::rstat::n().

ulong_median_from_sorted_data()

template<typename T >

double gsl::stats::ulong_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_ulong.hpp.

ulong_min()

template<typename T >

double gsl::stats::ulong_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_ulong.hpp.

ulong_min_index()

template<typename T >

size_t gsl::stats::ulong_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_ulong.hpp.

ulong_minmax()

template<typename T >

void gsl::stats::ulong_minmax ( unsigned long &  min, unsigned long &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_ulong.hpp.

References max(), and min().

ulong_minmax_index()

template<typename T >

void gsl::stats::ulong_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_ulong.hpp.

References max_index(), and min_index().

ulong_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ulong_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_ulong.hpp.

ulong_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ulong_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_ulong.hpp.

ulong_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned long gsl::stats::ulong_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ulong_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::ulong_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ulong_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned long gsl::stats::ulong_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ulong_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::ulong_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ulong_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned longs of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::ulong_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_ulong_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_ulong.hpp.

ulong_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::ulong_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_ulong_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_ulong.hpp.

References gsl::rstat::n().

ulong_sd()

template<typename T >

double gsl::stats::ulong_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_ulong.hpp.

ulong_sd_m() [1/2]

template<typename T >

double gsl::stats::ulong_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_ulong.hpp.

References mean().

ulong_sd_m() [2/2]

template<typename T >

double gsl::stats::ulong_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_ulong.hpp.

References mean().

ulong_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::ulong_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_ulong.hpp.

References mean().

ulong_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::ulong_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_ulong.hpp.

References mean().

ulong_skew()

template<typename T >

double gsl::stats::ulong_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_ulong.hpp.

ulong_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::ulong_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ulong_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_ulong.hpp.

References mean(), and sd().

ulong_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::ulong_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ulong_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_ulong.hpp.

References mean(), and sd().

ulong_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ulong_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_ulong_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ulong_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_ulong_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_ulong.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ulong_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_ulong_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_ulong.hpp.

ulong_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_ulong_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_ulong.hpp.

ulong_trmean_from_sorted_data()

template<typename T >

double gsl::stats::ulong_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_ulong_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_ulong.hpp.

References gsl::rstat::n().

ulong_tss()

template<typename T >

double gsl::stats::ulong_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_ulong.hpp.

ulong_tss_m() [1/2]

template<typename T >

double gsl::stats::ulong_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_ulong.hpp.

References mean().

ulong_tss_m() [2/2]

template<typename T >

double gsl::stats::ulong_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_ulong.hpp.

References mean().

ulong_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::ulong_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ulong_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_ulong.hpp.

ulong_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::ulong_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ulong_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_ulong.hpp.

ulong_variance()

template<typename T >

double gsl::stats::ulong_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ulong_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_ulong.hpp.

ulong_variance_m() [1/2]

template<typename T >

double gsl::stats::ulong_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_ulong.hpp.

References mean().

ulong_variance_m() [2/2]

template<typename T >

double gsl::stats::ulong_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_ulong.hpp.

References mean().

ulong_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::ulong_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ulong_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_ulong.hpp.

References mean().

ulong_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::ulong_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ulong_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_ulong.hpp.

References mean().

ushort_absdev()

template<typename T >

double gsl::stats::ushort_absdev ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_absdev().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample absolute deviation

Definition at line 732 of file statistics_ushort.hpp.

ushort_absdev_m() [1/2]

template<typename T >

double gsl::stats::ushort_absdev_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_absdev_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 858 of file statistics_ushort.hpp.

References mean().

ushort_absdev_m() [2/2]

template<typename T >

double gsl::stats::ushort_absdev_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_absdev_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample absolute deviation from the given mean value

Definition at line 849 of file statistics_ushort.hpp.

References mean().

ushort_correlation() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_correlation ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ushort_correlation().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample correlation

Definition at line 791 of file statistics_ushort.hpp.

ushort_correlation() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_correlation ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ushort_correlation().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample correlation

Definition at line 801 of file statistics_ushort.hpp.

ushort_covariance() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_covariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ushort_covariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The sample covariance

Definition at line 770 of file statistics_ushort.hpp.

ushort_covariance() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_covariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ushort_covariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The sample covariance

Definition at line 780 of file statistics_ushort.hpp.

ushort_covariance_m() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_covariance_m ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_ushort_covariance_m().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 935 of file statistics_ushort.hpp.

ushort_covariance_m() [2/2]

template<typename T >

double gsl::stats::ushort_covariance_m ( T const &  data1, T const &  data2, double const  mean1, double const  mean2  )

inline

C++ version of gsl_stats_ushort_covariance_m().

Parameters

data1	The first array of data values
data2	The second array of data values
mean1	The first mean value
mean2	The second mean value

Returns

The sample covariance using the given mean value

Definition at line 949 of file statistics_ushort.hpp.

ushort_gastwirth_from_sorted_data()

template<typename T >

double gsl::stats::ushort_gastwirth_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_ushort_gastwirth_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

Gastwirth’s location estimator

Definition at line 1209 of file statistics_ushort.hpp.

References gsl::rstat::n().

ushort_kurtosis()

template<typename T >

double gsl::stats::ushort_kurtosis ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_kurtosis().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample kurtosis

Definition at line 750 of file statistics_ushort.hpp.

ushort_kurtosis_m_sd() [1/2]

template<typename T >

double gsl::stats::ushort_kurtosis_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ushort_kurtosis_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 902 of file statistics_ushort.hpp.

References mean(), and sd().

ushort_kurtosis_m_sd() [2/2]

template<typename T >

double gsl::stats::ushort_kurtosis_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ushort_kurtosis_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample kurtosis (mean and standard deviation supplied)

Definition at line 891 of file statistics_ushort.hpp.

References mean(), and sd().

ushort_lag1_autocorrelation()

template<typename T >

double gsl::stats::ushort_lag1_autocorrelation ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_lag1_autocorrelation().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample lag 1 autocorrelation

Definition at line 759 of file statistics_ushort.hpp.

ushort_lag1_autocorrelation_m() [1/2]

template<typename T >

double gsl::stats::ushort_lag1_autocorrelation_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_lag1_autocorrelation_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 922 of file statistics_ushort.hpp.

References mean().

ushort_lag1_autocorrelation_m() [2/2]

template<typename T >

double gsl::stats::ushort_lag1_autocorrelation_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_lag1_autocorrelation_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample autocorrelation using the given mean value

Definition at line 912 of file statistics_ushort.hpp.

References mean().

ushort_mad() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_mad	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ushort_mad().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1236 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_mad() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_mad	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_ushort_mad().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation without bias correction scale factor

Definition at line 1348 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_mad0() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_mad0	(	T const &	data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ushort_mad0().

Parameters

data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1220 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_mad0() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_mad0	(	T const &	data,
		U &	work
	)

C++ version of gsl_stats_ushort_mad0().

Parameters

data	A data array
work	An array of doubles of length n

Returns

Mean absolute deviation with bias correction scale factor

Definition at line 1333 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_max()

template<typename T >

double gsl::stats::ushort_max ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_max().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The maximum value in the data set

Definition at line 987 of file statistics_ushort.hpp.

ushort_max_index()

template<typename T >

size_t gsl::stats::ushort_max_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_max_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the maximum value in the data set

Definition at line 1015 of file statistics_ushort.hpp.

ushort_mean()

template<typename T >

double gsl::stats::ushort_mean ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample mean

Definition at line 637 of file statistics_ushort.hpp.

ushort_median()

template<typename T >

double gsl::stats::ushort_median ( T &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_median().

Note that data may be rearranged.

Parameters

data	A data array: does not need to be sorted
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1187 of file statistics_ushort.hpp.

References gsl::rstat::n().

ushort_median_from_sorted_data()

template<typename T >

double gsl::stats::ushort_median_from_sorted_data ( T const &  sorted_data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_median_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values

Returns

The median

Definition at line 1044 of file statistics_ushort.hpp.

ushort_min()

template<typename T >

double gsl::stats::ushort_min ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_min().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The minimum value in the data set

Definition at line 996 of file statistics_ushort.hpp.

ushort_min_index()

template<typename T >

size_t gsl::stats::ushort_min_index ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_min_index().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The index of the minimum value in the data set

Definition at line 1024 of file statistics_ushort.hpp.

ushort_minmax()

template<typename T >

void gsl::stats::ushort_minmax ( unsigned short &  min, unsigned short &  max, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_minmax().

Parameters

min	The minimum of the data (return value)
max	The maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1006 of file statistics_ushort.hpp.

References max(), and min().

ushort_minmax_index()

template<typename T >

void gsl::stats::ushort_minmax_index ( size_t &  min_index, size_t &  max_index, T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_minmax_index().

Parameters

min_index	The index of the minimum of the data (return value)
max_index	The index of the maximum of the data (return value)
data	An array of data values
stride	The number of steps between consecutive data values

Definition at line 1034 of file statistics_ushort.hpp.

References max_index(), and min_index().

ushort_pvariance() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_pvariance ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ushort_pvariance().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The pooled variance of the data sets

Definition at line 962 of file statistics_ushort.hpp.

ushort_pvariance() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_pvariance ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ushort_pvariance().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The pooled variance of the data sets

Definition at line 1067 of file statistics_ushort.hpp.

ushort_Qn0_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned short gsl::stats::ushort_Qn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ushort_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1286 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Qn0_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::ushort_Qn0_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ushort_Qn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn0

Definition at line 1395 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Qn_from_sorted_data() [1/2]

template<typename T , typename U , typename V >

unsigned short gsl::stats::ushort_Qn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ushort_Qn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of unsigned shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1310 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Qn_from_sorted_data() [2/2]

template<typename T , typename U , typename V >

double gsl::stats::ushort_Qn_from_sorted_data	(	T const &	sorted_data,
		U &	work,
		V &	work_int
	)

C++ version of gsl_stats_ushort_Qn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of unsigned shorts of length 3n
work_int	An array of ints of length 5n

Returns

Qn

Definition at line 1417 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_quantile_from_sorted_data() [1/2]

template<typename T >

double gsl::stats::ushort_quantile_from_sorted_data ( T const &  sorted_data, double const  f  )

inline

C++ version of gsl_stats_ushort_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1086 of file statistics_ushort.hpp.

ushort_quantile_from_sorted_data() [2/2]

template<typename T >

double gsl::stats::ushort_quantile_from_sorted_data ( T const &  sorted_data, size_t const  stride, double const  f  )

inline

C++ version of gsl_stats_ushort_quantile_from_sorted_data().

Parameters

sorted_data	A sorted data array
stride	The number of steps between consecutive data values
f	The proportion for which to estimate a quantile

Returns

The $f$-quantile

Definition at line 1054 of file statistics_ushort.hpp.

References gsl::rstat::n().

ushort_sd()

template<typename T >

double gsl::stats::ushort_sd ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample standard deviation

Definition at line 655 of file statistics_ushort.hpp.

ushort_sd_m() [1/2]

template<typename T >

double gsl::stats::ushort_sd_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_sd_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 839 of file statistics_ushort.hpp.

References mean().

ushort_sd_m() [2/2]

template<typename T >

double gsl::stats::ushort_sd_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_sd_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample standard deviation with given mean value

Definition at line 830 of file statistics_ushort.hpp.

References mean().

ushort_sd_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::ushort_sd_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_sd_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 695 of file statistics_ushort.hpp.

References mean().

ushort_sd_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::ushort_sd_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_sd_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample standard deviation wih given population mean

Definition at line 685 of file statistics_ushort.hpp.

References mean().

ushort_skew()

template<typename T >

double gsl::stats::ushort_skew ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_skew().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample skewness

Definition at line 741 of file statistics_ushort.hpp.

ushort_skew_m_sd() [1/2]

template<typename T >

double gsl::stats::ushort_skew_m_sd ( T const &  data, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ushort_skew_m_sd().

Parameters

data	An array of data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 880 of file statistics_ushort.hpp.

References mean(), and sd().

ushort_skew_m_sd() [2/2]

template<typename T >

double gsl::stats::ushort_skew_m_sd ( T const &  data, size_t const  stride, double const  mean, double const  sd  )

inline

C++ version of gsl_stats_ushort_skew_m_sd().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value
sd	The standard deviation

Returns

The sample skewness (mean and standard deviation supplied)

Definition at line 869 of file statistics_ushort.hpp.

References mean(), and sd().

ushort_Sn0_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_Sn0_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ushort_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1253 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Sn0_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_Sn0_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_ushort_Sn0_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1364 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Sn_from_sorted_data() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_Sn_from_sorted_data	(	T const &	sorted_data,
		size_t const	stride,
		U &	work
	)

C++ version of gsl_stats_ushort_Sn_from_sorted_data().

Parameters

sorted_data	A data array
stride	The number of steps between consecutive data values
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1269 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_Sn_from_sorted_data() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_Sn_from_sorted_data	(	T const &	sorted_data,
		U &	work
	)

C++ version of gsl_stats_ushort_Sn_from_sorted_data().

Parameters

sorted_data	A data array
work	An array of doubles of length n

Returns

The Sn statistic

Definition at line 1379 of file statistics_ushort.hpp.

References gsl::exception::GSL_EBADLEN, and gsl::rstat::n().

ushort_spearman() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_spearman ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2, double  work[]  )

inline

C++ version of gsl_stats_ushort_spearman().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1147 of file statistics_ushort.hpp.

ushort_spearman() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_spearman ( T const &  data1, U const &  data2, double  work[]  )

inline

C++ version of gsl_stats_ushort_spearman().

Parameters

data1	The first array of data values
data2	The second array of data values
work	A workspace. This should be of size at least (2n) or null. A non-null value for work is more effficient if more than one Spearman correlation is needed

Returns

The Spearman correlation

Definition at line 1170 of file statistics_ushort.hpp.

ushort_trmean_from_sorted_data()

template<typename T >

double gsl::stats::ushort_trmean_from_sorted_data	(	double const	trim,
		T const &	sorted_data,
		size_t const	stride = 1
	)

C++ version of gsl_stats_ushort_trmean_from_sorted_data().

Parameters

trim	A value on [0.0.5]
sorted_data	A data array
stride	The number of steps between consecutive data values

Returns

the mean with floor( alpha * n ) of data removed from both ends

Definition at line 1198 of file statistics_ushort.hpp.

References gsl::rstat::n().

ushort_tss()

template<typename T >

double gsl::stats::ushort_tss ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_tss().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample total sum of squares

Definition at line 704 of file statistics_ushort.hpp.

ushort_tss_m() [1/2]

template<typename T >

double gsl::stats::ushort_tss_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_tss_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 723 of file statistics_ushort.hpp.

References mean().

ushort_tss_m() [2/2]

template<typename T >

double gsl::stats::ushort_tss_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_tss_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample total sum of squares with given sample mean

Definition at line 714 of file statistics_ushort.hpp.

References mean().

ushort_ttest() [1/2]

template<typename T , typename U >

double gsl::stats::ushort_ttest ( T const &  data1, size_t const  stride1, U const &  data2, size_t const  stride2  )

inline

C++ version of gsl_stats_ushort_ttest().

Parameters

data1	The first array of data values
stride1	The number of steps between data values in the first array
data2	The second array of data values
stride2	The number of steps between data values in the second array

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 976 of file statistics_ushort.hpp.

ushort_ttest() [2/2]

template<typename T , typename U >

double gsl::stats::ushort_ttest ( T const &  data1, U const &  data2  )

inline

C++ version of gsl_stats_ushort_ttest().

Parameters

data1	The first array of data values
data2	The second array of data values

Returns

The t statistic for an independent samples t test of no difference in population means

Definition at line 1077 of file statistics_ushort.hpp.

ushort_variance()

template<typename T >

double gsl::stats::ushort_variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_ushort_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 646 of file statistics_ushort.hpp.

ushort_variance_m() [1/2]

template<typename T >

double gsl::stats::ushort_variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 820 of file statistics_ushort.hpp.

References mean().

ushort_variance_m() [2/2]

template<typename T >

double gsl::stats::ushort_variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 811 of file statistics_ushort.hpp.

References mean().

ushort_variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::ushort_variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_ushort_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 675 of file statistics_ushort.hpp.

References mean().

ushort_variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::ushort_variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_ushort_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 665 of file statistics_ushort.hpp.

References mean().

variance()

template<typename T >

double gsl::stats::variance ( T const &  data, size_t const  stride = 1  )

inline

C++ version of gsl_stats_variance().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values

Returns

The sample variance

Definition at line 1005 of file statistics_double.hpp.

variance_m() [1/2]

template<typename T >

double gsl::stats::variance_m ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_variance_m().

Parameters

data	An array of data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1527 of file statistics_double.hpp.

References mean().

variance_m() [2/2]

template<typename T >

double gsl::stats::variance_m ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_variance_m().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The sample variance with given mean value

Definition at line 1518 of file statistics_double.hpp.

References mean().

variance_with_fixed_mean() [1/2]

template<typename T >

double gsl::stats::variance_with_fixed_mean ( T const &  data, double const  mean  )

inline

C++ version of gsl_stats_variance_with_fixed_mean().

Parameters

data	An array of data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1034 of file statistics_double.hpp.

References mean().

variance_with_fixed_mean() [2/2]

template<typename T >

double gsl::stats::variance_with_fixed_mean ( T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_variance_with_fixed_mean().

Parameters

data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood sample variance wih given population mean

Definition at line 1024 of file statistics_double.hpp.

References mean().

wabsdev() [1/2]

template<typename U , typename T >

double gsl::stats::wabsdev ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wabsdev().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighetd absolute deviation estimate

Definition at line 1241 of file statistics_double.hpp.

wabsdev() [2/2]

template<typename U , typename T >

double gsl::stats::wabsdev ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wabsdev().

Parameters

w	The weight array
data	An array of data values

Returns

The weighetd absolute deviation estimate

Definition at line 1415 of file statistics_double.hpp.

wabsdev_m() [1/2]

template<typename U , typename T >

double gsl::stats::wabsdev_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_wabsdev_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1304 of file statistics_double.hpp.

References wmean().

wabsdev_m() [2/2]

template<typename U , typename T >

double gsl::stats::wabsdev_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_wabsdev_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample absolute deviation with given mean value

Definition at line 1463 of file statistics_double.hpp.

References wmean().

wkurtosis() [1/2]

template<typename U , typename T >

double gsl::stats::wkurtosis ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wkurtosis().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample kurtosis

Definition at line 1265 of file statistics_double.hpp.

wkurtosis() [2/2]

template<typename U , typename T >

double gsl::stats::wkurtosis ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wkurtosis().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample kurtosis

Definition at line 1433 of file statistics_double.hpp.

wkurtosis_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::wkurtosis_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_wkurtosis_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1334 of file statistics_double.hpp.

References wmean(), and wsd().

wkurtosis_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::wkurtosis_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_wkurtosis_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample kurtosis with given weighted mean and standard deviation

Definition at line 1485 of file statistics_double.hpp.

References wmean(), and wsd().

wmean() [1/2]

template<typename U , typename T >

double gsl::stats::wmean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wmean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample mean

Definition at line 1151 of file statistics_double.hpp.

Referenced by float_wabsdev_m(), float_wkurtosis_m_sd(), float_wsd_m(), float_wskew_m_sd(), float_wtss_m(), float_wvariance_m(), long_double_wabsdev_m(), long_double_wkurtosis_m_sd(), long_double_wsd_m(), long_double_wskew_m_sd(), long_double_wtss_m(), long_double_wvariance_m(), wabsdev_m(), wkurtosis_m_sd(), wsd_m(), wskew_m_sd(), wtss_m(), and wvariance_m().

wmean() [2/2]

template<typename U , typename T >

double gsl::stats::wmean ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wmean().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample mean

Definition at line 1347 of file statistics_double.hpp.

wsd() [1/2]

template<typename U , typename T >

double gsl::stats::wsd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wsd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample standard deviation

Definition at line 1175 of file statistics_double.hpp.

Referenced by float_wkurtosis_m_sd(), float_wskew_m_sd(), long_double_wkurtosis_m_sd(), long_double_wskew_m_sd(), wkurtosis_m_sd(), and wskew_m_sd().

wsd() [2/2]

template<typename U , typename T >

double gsl::stats::wsd ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wsd().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample standard deviation

Definition at line 1365 of file statistics_double.hpp.

wsd_m() [1/2]

template<typename U , typename T >

double gsl::stats::wsd_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_wsd_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1291 of file statistics_double.hpp.

References wmean().

wsd_m() [2/2]

template<typename U , typename T >

double gsl::stats::wsd_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_wsd_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample standard deviation with given mean value

Definition at line 1453 of file statistics_double.hpp.

References wmean().

wsd_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::wsd_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_wsd_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1203 of file statistics_double.hpp.

References mean().

wsd_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::wsd_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_wsd_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted standard deviation estimate with given mean

Definition at line 1386 of file statistics_double.hpp.

References mean().

wskew() [1/2]

template<typename U , typename T >

double gsl::stats::wskew ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wskew().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample skewness

Definition at line 1253 of file statistics_double.hpp.

wskew() [2/2]

template<typename U , typename T >

double gsl::stats::wskew ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wskew().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample skewness

Definition at line 1424 of file statistics_double.hpp.

wskew_m_sd() [1/2]

template<typename U , typename T >

double gsl::stats::wskew_m_sd ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_wskew_m_sd().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1318 of file statistics_double.hpp.

References wmean(), and wsd().

wskew_m_sd() [2/2]

template<typename U , typename T >

double gsl::stats::wskew_m_sd ( U const &  w, T const &  data, double const  wmean, double const  wsd  )

inline

C++ version of gsl_stats_wskew_m_sd().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean
wsd	The weighted standard deviation

Returns

The weighted sample skewness with given weighted mean and standard deviation

Definition at line 1474 of file statistics_double.hpp.

References wmean(), and wsd().

wtss() [1/2]

template<typename U , typename T >

double gsl::stats::wtss ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wtss().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted total sum of squares estimate

Definition at line 1216 of file statistics_double.hpp.

wtss() [2/2]

template<typename U , typename T >

double gsl::stats::wtss ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wtss().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted total sum of squares estimate

Definition at line 1396 of file statistics_double.hpp.

wtss_m() [1/2]

template<typename U , typename T >

double gsl::stats::wtss_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_wtss_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1229 of file statistics_double.hpp.

References wmean().

wtss_m() [2/2]

template<typename U , typename T >

double gsl::stats::wtss_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_wtss_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted total sum of squares estimate with given mean value

Definition at line 1406 of file statistics_double.hpp.

References wmean().

wvariance() [1/2]

template<typename U , typename T >

double gsl::stats::wvariance ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride  )

inline

C++ version of gsl_stats_wvariance().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values

Returns

The weighted sample variance

Definition at line 1163 of file statistics_double.hpp.

wvariance() [2/2]

template<typename U , typename T >

double gsl::stats::wvariance ( U const &  w, T const &  data  )

inline

C++ version of gsl_stats_wvariance().

Parameters

w	The weight array
data	An array of data values

Returns

The weighted sample variance

Definition at line 1356 of file statistics_double.hpp.

wvariance_m() [1/2]

template<typename U , typename T >

double gsl::stats::wvariance_m ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  wmean  )

inline

C++ version of gsl_stats_wvariance_m().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1278 of file statistics_double.hpp.

References wmean().

wvariance_m() [2/2]

template<typename U , typename T >

double gsl::stats::wvariance_m ( U const &  w, T const &  data, double const  wmean  )

inline

C++ version of gsl_stats_wvariance_m().

Parameters

w	The weight array
data	An array of data values
wmean	The weighted mean

Returns

The weighted sample variance with given mean value

Definition at line 1443 of file statistics_double.hpp.

References wmean().

wvariance_with_fixed_mean() [1/2]

template<typename U , typename T >

double gsl::stats::wvariance_with_fixed_mean ( U const &  w, size_t const  wstride, T const &  data, size_t const  stride, double const  mean  )

inline

C++ version of gsl_stats_wvariance_with_fixed_mean().

Parameters

w	The weight array
wstride	The number of steps between consecutive data values
data	An array of data values
stride	The number of steps between consecutive data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1188 of file statistics_double.hpp.

References mean().

wvariance_with_fixed_mean() [2/2]

template<typename U , typename T >

double gsl::stats::wvariance_with_fixed_mean ( U const &  w, T const &  data, double const  mean  )

inline

C++ version of gsl_stats_wvariance_with_fixed_mean().

Parameters

w	The weight array
data	An array of data values
mean	The mean value

Returns

The maximum-likelihood weighted variance estimate with given mean

Definition at line 1375 of file statistics_double.hpp.

References mean().