Namespace for cumulative distribution functions. More...

Functions
double	ugaussian_P (double const x)
	C++ version of gsl_cdf_ugaussian_P(). More...

double	ugaussian_Q (double const x)
	C++ version of gsl_cdf_ugaussian_Q(). More...

double	ugaussian_Pinv (double const P)
	C++ version of gsl_cdf_ugaussian_Pinv(). More...

double	ugaussian_Qinv (double const Q)
	C++ version of gsl_cdf_ugaussian_Qinv(). More...

double	gaussian_P (double const x, double const sigma)
	C++ version of gsl_cdf_gaussian_P(). More...

double	gaussian_Q (double const x, double const sigma)
	C++ version of gsl_cdf_gaussian_Q(). More...

double	gaussian_Pinv (double const P, double const sigma)
	C++ version of gsl_cdf_gaussian_Pinv(). More...

double	gaussian_Qinv (double const Q, double const sigma)
	C++ version of gsl_cdf_gaussian_Qinv(). More...

double	gamma_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_gamma_P(). More...

double	gamma_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_gamma_Q(). More...

double	gamma_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_gamma_Pinv(). More...

double	gamma_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_gamma_Qinv(). More...

double	cauchy_P (double const x, double const a)
	C++ version of gsl_cdf_cauchy_P(). More...

double	cauchy_Q (double const x, double const a)
	C++ version of gsl_cdf_cauchy_Q(). More...

double	cauchy_Pinv (double const P, double const a)
	C++ version of gsl_cdf_cauchy_Pinv(). More...

double	cauchy_Qinv (double const Q, double const a)
	C++ version of gsl_cdf_cauchy_Qinv(). More...

double	laplace_P (double const x, double const a)
	C++ version of gsl_cdf_laplace_P(). More...

double	laplace_Q (double const x, double const a)
	C++ version of gsl_cdf_laplace_Q(). More...

double	laplace_Pinv (double const P, double const a)
	C++ version of gsl_cdf_laplace_Pinv(). More...

double	laplace_Qinv (double const Q, double const a)
	C++ version of gsl_cdf_laplace_Qinv(). More...

double	rayleigh_P (double const x, double const sigma)
	C++ version of gsl_cdf_rayleigh_P(). More...

double	rayleigh_Q (double const x, double const sigma)
	C++ version of gsl_cdf_rayleigh_Q(). More...

double	rayleigh_Pinv (double const P, double const sigma)
	C++ version of gsl_cdf_rayleigh_Pinv(). More...

double	rayleigh_Qinv (double const Q, double const sigma)
	C++ version of gsl_cdf_rayleigh_Qinv(). More...

double	chisq_P (double const x, double const nu)
	C++ version of gsl_cdf_chisq_P(). More...

double	chisq_Q (double const x, double const nu)
	C++ version of gsl_cdf_chisq_Q(). More...

double	chisq_Pinv (double const P, double const nu)
	C++ version of gsl_cdf_chisq_Pinv(). More...

double	chisq_Qinv (double const Q, double const nu)
	C++ version of gsl_cdf_chisq_Qinv(). More...

double	exponential_P (double const x, double const mu)
	C++ version of gsl_cdf_exponential_P(). More...

double	exponential_Q (double const x, double const mu)
	C++ version of gsl_cdf_exponential_Q(). More...

double	exponential_Pinv (double const P, double const mu)
	C++ version of gsl_cdf_exponential_Pinv(). More...

double	exponential_Qinv (double const Q, double const mu)
	C++ version of gsl_cdf_exponential_Qinv(). More...

double	exppow_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_exppow_P(). More...

double	exppow_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_exppow_Q(). More...

double	tdist_P (double const x, double const nu)
	C++ version of gsl_cdf_tdist_P(). More...

double	tdist_Q (double const x, double const nu)
	C++ version of gsl_cdf_tdist_Q(). More...

double	tdist_Pinv (double const P, double const nu)
	C++ version of gsl_cdf_tdist_Pinv(). More...

double	tdist_Qinv (double const Q, double const nu)
	C++ version of gsl_cdf_tdist_Qinv(). More...

double	fdist_P (double const x, double const nu1, double const nu2)
	C++ version of gsl_cdf_fdist_P(). More...

double	fdist_Q (double const x, double const nu1, double const nu2)
	C++ version of gsl_cdf_fdist_Q(). More...

double	fdist_Pinv (double const P, double const nu1, double const nu2)
	C++ version of gsl_cdf_fdist_Pinv(). More...

double	fdist_Qinv (double const Q, double const nu1, double const nu2)
	C++ version of gsl_cdf_fdist_Qinv(). More...

double	beta_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_beta_P(). More...

double	beta_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_beta_Q(). More...

double	beta_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_beta_Pinv(). More...

double	beta_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_beta_Qinv(). More...

double	flat_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_flat_P(). More...

double	flat_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_flat_Q(). More...

double	flat_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_flat_Pinv(). More...

double	flat_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_flat_Qinv(). More...

double	lognormal_P (double const x, double const zeta, double const sigma)
	C++ version of gsl_cdf_lognormal_P(). More...

double	lognormal_Q (double const x, double const zeta, double const sigma)
	C++ version of gsl_cdf_lognormal_Q(). More...

double	lognormal_Pinv (double const P, double const zeta, double const sigma)
	C++ version of gsl_cdf_lognormal_Pinv(). More...

double	lognormal_Qinv (double const Q, double const zeta, double const sigma)
	C++ version of gsl_cdf_lognormal_Qinv(). More...

double	gumbel1_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_gumbel1_P(). More...

double	gumbel1_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_gumbel1_Q(). More...

double	gumbel1_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_gumbel1_Pinv(). More...

double	gumbel1_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_gumbel1_Qinv(). More...

double	gumbel2_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_gumbel2_P(). More...

double	gumbel2_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_gumbel2_Q(). More...

double	gumbel2_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_gumbel2_Pinv(). More...

double	gumbel2_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_gumbel2_Qinv(). More...

double	weibull_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_weibull_P(). More...

double	weibull_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_weibull_Q(). More...

double	weibull_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_weibull_Pinv(). More...

double	weibull_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_weibull_Qinv(). More...

double	pareto_P (double const x, double const a, double const b)
	C++ version of gsl_cdf_pareto_P(). More...

double	pareto_Q (double const x, double const a, double const b)
	C++ version of gsl_cdf_pareto_Q(). More...

double	pareto_Pinv (double const P, double const a, double const b)
	C++ version of gsl_cdf_pareto_Pinv(). More...

double	pareto_Qinv (double const Q, double const a, double const b)
	C++ version of gsl_cdf_pareto_Qinv(). More...

double	logistic_P (double const x, double const a)
	C++ version of gsl_cdf_logistic_P(). More...

double	logistic_Q (double const x, double const a)
	C++ version of gsl_cdf_logistic_Q(). More...

double	logistic_Pinv (double const P, double const a)
	C++ version of gsl_cdf_logistic_Pinv(). More...

double	logistic_Qinv (double const Q, double const a)
	C++ version of gsl_cdf_logistic_Qinv(). More...

double	binomial_P (unsigned int const k, double const p, unsigned int const n)
	C++ version of gsl_cdf_binomial_P(). More...

double	binomial_Q (unsigned int const k, double const p, unsigned int const n)
	C++ version of gsl_cdf_binomial_Q(). More...

double	poisson_P (unsigned int const k, double const mu)
	C++ version of gsl_cdf_poisson_P(). More...

double	poisson_Q (unsigned int const k, double const mu)
	C++ version of gsl_cdf_poisson_Q(). More...

double	geometric_P (unsigned int const k, double const p)
	C++ version of gsl_cdf_geometric_P(). More...

double	geometric_Q (unsigned int const k, double const p)
	C++ version of gsl_cdf_geometric_Q(). More...

double	negative_binomial_P (unsigned int const k, double const p, double const n)
	C++ version of gsl_cdf_negative_binomial_P(). More...

double	negative_binomial_Q (unsigned int const k, double const p, double const n)
	C++ version of gsl_cdf_negative_binomial_Q(). More...

double	pascal_P (unsigned int const k, double const p, unsigned int const n)
	C++ version of gsl_cdf_pascal_P(). More...

double	pascal_Q (unsigned int const k, double const p, unsigned int const n)
	C++ version of gsl_cdf_pascal_Q(). More...

double	hypergeometric_P (unsigned int const k, unsigned int const n1, unsigned int const n2, unsigned int const t)
	C++ version of gsl_cdf_hypergeometric_P(). More...

double	hypergeometric_Q (unsigned int const k, unsigned int const n1, unsigned int const n2, unsigned int const t)
	C++ version of gsl_cdf_hypergeometric_Q(). More...

Detailed Description

Namespace for cumulative distribution functions.

Function Documentation

◆ beta_P()

double gsl::cdf::beta_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_beta_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 371 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ beta_Pinv()

double gsl::cdf::beta_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_beta_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 389 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ beta_Q()

double gsl::cdf::beta_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_beta_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 380 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ beta_Qinv()

double gsl::cdf::beta_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_beta_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 398 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ binomial_P()

double gsl::cdf::binomial_P	(	unsigned int const	k,
		double const	p,
		unsigned int const	n
	)

inline

C++ version of gsl_cdf_binomial_P().

Parameters

k	The number of successes
p	The probability of success in one trial
n	The number of trials

Returns: The cumulative distribution function

Definition at line 654 of file cdf.hpp.

References gsl::rstat::n().

◆ binomial_Q()

double gsl::cdf::binomial_Q	(	unsigned int const	k,
		double const	p,
		unsigned int const	n
	)

inline

C++ version of gsl_cdf_binomial_Q().

Parameters

k	The number of successes
p	The probability of success in one trial
n	The number of trials

Returns: The cumulative distribution function

Definition at line 663 of file cdf.hpp.

References gsl::rstat::n().

◆ cauchy_P()

double gsl::cdf::cauchy_P	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_cauchy_P().

Parameters

x	A real value
a	The scale parameter

Returns: The cumulative distribution function

Definition at line 128 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ cauchy_Pinv()

double gsl::cdf::cauchy_Pinv	(	double const	P,
		double const	a
	)

inline

C++ version of gsl_cdf_cauchy_Pinv().

Parameters

P	A probability
a	The scale parameter

Returns: The inverse cumulative distribution function

Definition at line 144 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::ellint::P().

◆ cauchy_Q()

double gsl::cdf::cauchy_Q	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_cauchy_Q().

Parameters

x	A real value
a	The scale parameter

Returns: The cumulative distribution function

Definition at line 136 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ cauchy_Qinv()

double gsl::cdf::cauchy_Qinv	(	double const	Q,
		double const	a
	)

inline

C++ version of gsl_cdf_cauchy_Qinv().

Parameters

Q	A probability
a	The scale parameter

Returns: The inverse cumulative distribution function

Definition at line 152 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ chisq_P()

double gsl::cdf::chisq_P	(	double const	x,
		double const	nu
	)

inline

C++ version of gsl_cdf_chisq_P().

Parameters

x	A real value
nu	The degrees of freedom

Returns: The cumulative distribution function

Definition at line 224 of file cdf.hpp.

◆ chisq_Pinv()

double gsl::cdf::chisq_Pinv	(	double const	P,
		double const	nu
	)

inline

C++ version of gsl_cdf_chisq_Pinv().

Parameters

P	A probability
nu	The degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 240 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ chisq_Q()

double gsl::cdf::chisq_Q	(	double const	x,
		double const	nu
	)

inline

C++ version of gsl_cdf_chisq_Q().

Parameters

x	A real value
nu	The degrees of freedom

Returns: The cumulative distribution function

Definition at line 232 of file cdf.hpp.

◆ chisq_Qinv()

double gsl::cdf::chisq_Qinv	(	double const	Q,
		double const	nu
	)

inline

C++ version of gsl_cdf_chisq_Qinv().

Parameters

Q	A probability
nu	The degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 248 of file cdf.hpp.

◆ exponential_P()

double gsl::cdf::exponential_P	(	double const	x,
		double const	mu
	)

inline

C++ version of gsl_cdf_exponential_P().

Parameters

x	A real value
mu	The mean (parameter)

Returns: The cumulative distribution function

Definition at line 256 of file cdf.hpp.

◆ exponential_Pinv()

double gsl::cdf::exponential_Pinv	(	double const	P,
		double const	mu
	)

inline

C++ version of gsl_cdf_exponential_Pinv().

Parameters

P	A probability
mu	The mean (parameter)

Returns: The inverse cumulative distribution function

Definition at line 272 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ exponential_Q()

double gsl::cdf::exponential_Q	(	double const	x,
		double const	mu
	)

inline

C++ version of gsl_cdf_exponential_Q().

Parameters

x	A real value
mu	The mean (parameter)

Returns: The cumulative distribution function

Definition at line 264 of file cdf.hpp.

◆ exponential_Qinv()

double gsl::cdf::exponential_Qinv	(	double const	Q,
		double const	mu
	)

inline

C++ version of gsl_cdf_exponential_Qinv().

Parameters

Q	A probability
mu	The mean (parameter)

Returns: The inverse cumulative distribution function

Definition at line 280 of file cdf.hpp.

◆ exppow_P()

double gsl::cdf::exppow_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_exppow_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 289 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ exppow_Q()

double gsl::cdf::exppow_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_exppow_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 298 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ fdist_P()

double gsl::cdf::fdist_P	(	double const	x,
		double const	nu1,
		double const	nu2
	)

inline

C++ version of gsl_cdf_fdist_P().

Parameters

x	A real value
nu1	The first degrees of freedom
nu2	The second degrees of freedom

Returns: The cumulative distribution function

Definition at line 335 of file cdf.hpp.

◆ fdist_Pinv()

double gsl::cdf::fdist_Pinv	(	double const	P,
		double const	nu1,
		double const	nu2
	)

inline

C++ version of gsl_cdf_fdist_Pinv().

Parameters

P	A probability
nu1	The first degrees of freedom
nu2	The second degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 353 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ fdist_Q()

double gsl::cdf::fdist_Q	(	double const	x,
		double const	nu1,
		double const	nu2
	)

inline

C++ version of gsl_cdf_fdist_Q().

Parameters

x	A real value
nu1	The first degrees of freedom
nu2	The second degrees of freedom

Returns: The cumulative distribution function

Definition at line 344 of file cdf.hpp.

◆ fdist_Qinv()

double gsl::cdf::fdist_Qinv	(	double const	Q,
		double const	nu1,
		double const	nu2
	)

inline

C++ version of gsl_cdf_fdist_Qinv().

Parameters

Q	A probability
nu1	The first degrees of freedom
nu2	The second degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 362 of file cdf.hpp.

◆ flat_P()

double gsl::cdf::flat_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_flat_P().

Parameters

x	A real value
a	Lower parameter value
b	Upper parameter value

Returns: The cumulative distribution function

Definition at line 407 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ flat_Pinv()

double gsl::cdf::flat_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_flat_Pinv().

Parameters

P	A probability
a	Lower parameter value
b	Upper parameter value

Returns: The inverse cumulative distribution function

Definition at line 425 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ flat_Q()

double gsl::cdf::flat_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_flat_Q().

Parameters

x	A real value
a	Lower parameter value
b	Upper parameter value

Returns: The cumulative distribution function

Definition at line 416 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ flat_Qinv()

double gsl::cdf::flat_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_flat_Qinv().

Parameters

Q	A probability
a	Lower parameter value
b	Upper parameter value

Returns: The inverse cumulative distribution function

Definition at line 434 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gamma_P()

double gsl::cdf::gamma_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gamma_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 93 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gamma_Pinv()

double gsl::cdf::gamma_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gamma_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 111 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ gamma_Q()

double gsl::cdf::gamma_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gamma_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 102 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gamma_Qinv()

double gsl::cdf::gamma_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gamma_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 120 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gaussian_P()

double gsl::cdf::gaussian_P	(	double const	x,
		double const	sigma
	)

inline

C++ version of gsl_cdf_gaussian_P().

Parameters

x	A real value
sigma	The standard deviation (parameter)

Returns: The cumulative distribution function

Definition at line 60 of file cdf.hpp.

◆ gaussian_Pinv()

double gsl::cdf::gaussian_Pinv	(	double const	P,
		double const	sigma
	)

inline

C++ version of gsl_cdf_gaussian_Pinv().

Parameters

P	A probability
sigma	The standard deviation (parameter)

Returns: The inverse cumulative distribution function

Definition at line 76 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ gaussian_Q()

double gsl::cdf::gaussian_Q	(	double const	x,
		double const	sigma
	)

inline

C++ version of gsl_cdf_gaussian_Q().

Parameters

x	A real value
sigma	The standard deviation (parameter)

Returns: The cumulative distribution function

Definition at line 68 of file cdf.hpp.

◆ gaussian_Qinv()

double gsl::cdf::gaussian_Qinv	(	double const	Q,
		double const	sigma
	)

inline

C++ version of gsl_cdf_gaussian_Qinv().

Parameters

Q	A probability
sigma	The standard deviation (parameter)

Returns: The inverse cumulative distribution function

Definition at line 84 of file cdf.hpp.

◆ geometric_P()

double gsl::cdf::geometric_P	(	unsigned int const	k,
		double const	p
	)

inline

C++ version of gsl_cdf_geometric_P().

Parameters

k	The number of observations
p	The probability

Returns: The cumulative distribution function

Definition at line 687 of file cdf.hpp.

◆ geometric_Q()

double gsl::cdf::geometric_Q	(	unsigned int const	k,
		double const	p
	)

inline

C++ version of gsl_cdf_geometric_Q().

Parameters

k	The number of observations
p	The probability

Returns: The cumulative distribution function

Definition at line 695 of file cdf.hpp.

◆ gumbel1_P()

double gsl::cdf::gumbel1_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel1_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 479 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gumbel1_Pinv()

double gsl::cdf::gumbel1_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel1_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 497 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ gumbel1_Q()

double gsl::cdf::gumbel1_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel1_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 488 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gumbel1_Qinv()

double gsl::cdf::gumbel1_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel1_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 506 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gumbel2_P()

double gsl::cdf::gumbel2_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel2_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 515 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gumbel2_Pinv()

double gsl::cdf::gumbel2_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel2_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 533 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ gumbel2_Q()

double gsl::cdf::gumbel2_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel2_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 524 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ gumbel2_Qinv()

double gsl::cdf::gumbel2_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_gumbel2_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 542 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ hypergeometric_P()

double gsl::cdf::hypergeometric_P	(	unsigned int const	k,
		unsigned int const	n1,
		unsigned int const	n2,
		unsigned int const	t
	)

inline

C++ version of gsl_cdf_hypergeometric_P().

Parameters

k	An integer
n1	The first parameter
n2	The second parameter
t	The number of samples

Returns: The cumulative distribution function

Definition at line 741 of file cdf.hpp.

◆ hypergeometric_Q()

double gsl::cdf::hypergeometric_Q	(	unsigned int const	k,
		unsigned int const	n1,
		unsigned int const	n2,
		unsigned int const	t
	)

inline

C++ version of gsl_cdf_hypergeometric_Q().

Parameters

k	An integer
n1	The first parameter
n2	The second parameter
t	The number of samples

Returns: The cumulative distribution function

Definition at line 752 of file cdf.hpp.

◆ laplace_P()

double gsl::cdf::laplace_P	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_laplace_P().

Parameters

x	A real value
a	Width parameter

Returns: The cumulative distribution function

Definition at line 160 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ laplace_Pinv()

double gsl::cdf::laplace_Pinv	(	double const	P,
		double const	a
	)

inline

C++ version of gsl_cdf_laplace_Pinv().

Parameters

P	A probability
a	Width parameter

Returns: The inverse cumulative distribution function

Definition at line 176 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::ellint::P().

◆ laplace_Q()

double gsl::cdf::laplace_Q	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_laplace_Q().

Parameters

x	A real value
a	Width parameter

Returns: The cumulative distribution function

Definition at line 168 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ laplace_Qinv()

double gsl::cdf::laplace_Qinv	(	double const	Q,
		double const	a
	)

inline

C++ version of gsl_cdf_laplace_Qinv().

Parameters

Q	A probability
a	Width parameter

Returns: The inverse cumulative distribution function

Definition at line 184 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ logistic_P()

double gsl::cdf::logistic_P	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_logistic_P().

Parameters

x	A real value
a	The parameter

Returns: The cumulative distribution function

Definition at line 622 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ logistic_Pinv()

double gsl::cdf::logistic_Pinv	(	double const	P,
		double const	a
	)

inline

C++ version of gsl_cdf_logistic_Pinv().

Parameters

P	A probability
a	The parameter

Returns: The inverse cumulative distribution function

Definition at line 637 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::ellint::P().

◆ logistic_Q()

double gsl::cdf::logistic_Q	(	double const	x,
		double const	a
	)

inline

C++ version of gsl_cdf_logistic_Q().

Parameters

x	A real value
a	The parameter

Returns: The cumulative distribution function

Definition at line 630 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ logistic_Qinv()

double gsl::cdf::logistic_Qinv	(	double const	Q,
		double const	a
	)

inline

C++ version of gsl_cdf_logistic_Qinv().

Parameters

Q	A probability
a	The parameter

Returns: The inverse cumulative distribution function

Definition at line 645 of file cdf.hpp.

References gsl::sf::mathieu::a().

◆ lognormal_P()

double gsl::cdf::lognormal_P	(	double const	x,
		double const	zeta,
		double const	sigma
	)

inline

C++ version of gsl_cdf_lognormal_P().

Parameters

x	A real value
zeta	Parameter (mean of corresponding normal distribution)
sigma	Parameter (standard deviation of corresponding normal distribution)

Returns: The cumulative distribution function

Definition at line 443 of file cdf.hpp.

References gsl::sf::zeta().

◆ lognormal_Pinv()

double gsl::cdf::lognormal_Pinv	(	double const	P,
		double const	zeta,
		double const	sigma
	)

inline

C++ version of gsl_cdf_lognormal_Pinv().

Parameters

P	A probability
zeta	Parameter (mean of corresponding normal distribution)
sigma	Parameter (standard deviation of corresponding normal distribution)

Returns: The inverse cumulative distribution function

Definition at line 461 of file cdf.hpp.

References gsl::sf::ellint::P(), and gsl::sf::zeta().

◆ lognormal_Q()

double gsl::cdf::lognormal_Q	(	double const	x,
		double const	zeta,
		double const	sigma
	)

inline

C++ version of gsl_cdf_lognormal_Q().

Parameters

x	A real value
zeta	Parameter (mean of corresponding normal distribution)
sigma	Parameter (standard deviation of corresponding normal distribution)

Returns: The cumulative distribution function

Definition at line 452 of file cdf.hpp.

References gsl::sf::zeta().

◆ lognormal_Qinv()

double gsl::cdf::lognormal_Qinv	(	double const	Q,
		double const	zeta,
		double const	sigma
	)

inline

C++ version of gsl_cdf_lognormal_Qinv().

Parameters

Q	A probability
zeta	Parameter (mean of corresponding normal distribution)
sigma	Parameter (standard deviation of corresponding normal distribution)

Returns: The inverse cumulative distribution function

Definition at line 470 of file cdf.hpp.

References gsl::sf::zeta().

◆ negative_binomial_P()

double gsl::cdf::negative_binomial_P	(	unsigned int const	k,
		double const	p,
		double const	n
	)

inline

C++ version of gsl_cdf_negative_binomial_P().

Parameters

k	Number of failures before `n` successes
p	Probability of success in a trial
n	The number of successes

Returns: The cumulative distribution function

Definition at line 704 of file cdf.hpp.

References gsl::rstat::n().

◆ negative_binomial_Q()

double gsl::cdf::negative_binomial_Q	(	unsigned int const	k,
		double const	p,
		double const	n
	)

inline

C++ version of gsl_cdf_negative_binomial_Q().

Parameters

k	Number of failures before `n` successes
p	Probability of success in a trial
n	The number of successes

Returns: The cumulative distribution function

Definition at line 713 of file cdf.hpp.

References gsl::rstat::n().

◆ pareto_P()

double gsl::cdf::pareto_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_pareto_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 587 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ pareto_Pinv()

double gsl::cdf::pareto_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_pareto_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 605 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ pareto_Q()

double gsl::cdf::pareto_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_pareto_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 596 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ pareto_Qinv()

double gsl::cdf::pareto_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_pareto_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 614 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ pascal_P()

double gsl::cdf::pascal_P	(	unsigned int const	k,
		double const	p,
		unsigned int const	n
	)

inline

C++ version of gsl_cdf_pascal_P().

Parameters

k	Number of failures before `n` successes
p	Probability of success in a trial
n	The number of successes

Returns: The cumulative distribution function

Definition at line 722 of file cdf.hpp.

References gsl::rstat::n().

◆ pascal_Q()

double gsl::cdf::pascal_Q	(	unsigned int const	k,
		double const	p,
		unsigned int const	n
	)

inline

C++ version of gsl_cdf_pascal_Q().

Parameters

k	Number of failures before `n` successes
p	Probability of success in a trial
n	The number of successes

Returns: The cumulative distribution function

Definition at line 731 of file cdf.hpp.

References gsl::rstat::n().

◆ poisson_P()

double gsl::cdf::poisson_P	(	unsigned int const	k,
		double const	mu
	)

inline

C++ version of gsl_cdf_poisson_P().

Parameters

k	The number of observations
mu	The mean (parameter)

Returns: The cumulative distribution function

Definition at line 671 of file cdf.hpp.

◆ poisson_Q()

double gsl::cdf::poisson_Q	(	unsigned int const	k,
		double const	mu
	)

inline

C++ version of gsl_cdf_poisson_Q().

Parameters

k	The number of observations
mu	The mean (parameter)

Returns: The cumulative distribution function

Definition at line 679 of file cdf.hpp.

◆ rayleigh_P()

double gsl::cdf::rayleigh_P	(	double const	x,
		double const	sigma
	)

inline

C++ version of gsl_cdf_rayleigh_P().

Parameters

x	A real value
sigma	The parameter

Returns: The cumulative distribution function

Definition at line 192 of file cdf.hpp.

◆ rayleigh_Pinv()

double gsl::cdf::rayleigh_Pinv	(	double const	P,
		double const	sigma
	)

inline

C++ version of gsl_cdf_rayleigh_Pinv().

Parameters

P	A probability
sigma	The parameter

Returns: The inverse cumulative distribution function

Definition at line 208 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ rayleigh_Q()

double gsl::cdf::rayleigh_Q	(	double const	x,
		double const	sigma
	)

inline

C++ version of gsl_cdf_rayleigh_Q().

Parameters

x	A real value
sigma	The parameter

Returns: The cumulative distribution function

Definition at line 200 of file cdf.hpp.

◆ rayleigh_Qinv()

double gsl::cdf::rayleigh_Qinv	(	double const	Q,
		double const	sigma
	)

inline

C++ version of gsl_cdf_rayleigh_Qinv().

Parameters

Q	A probability
sigma	The parameter

Returns: The inverse cumulative distribution function

Definition at line 216 of file cdf.hpp.

◆ tdist_P()

double gsl::cdf::tdist_P	(	double const	x,
		double const	nu
	)

inline

C++ version of gsl_cdf_tdist_P().

Parameters

x	A real value
nu	The degrees of freedom

Returns: The cumulative distribution function

Definition at line 306 of file cdf.hpp.

◆ tdist_Pinv()

double gsl::cdf::tdist_Pinv	(	double const	P,
		double const	nu
	)

inline

C++ version of gsl_cdf_tdist_Pinv().

Parameters

P	A probability
nu	The degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 320 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ tdist_Q()

double gsl::cdf::tdist_Q	(	double const	x,
		double const	nu
	)

inline

C++ version of gsl_cdf_tdist_Q().

Parameters

x	A real value
nu	The degrees of freedom

Returns: The cumulative distribution function

Definition at line 313 of file cdf.hpp.

◆ tdist_Qinv()

double gsl::cdf::tdist_Qinv	(	double const	Q,
		double const	nu
	)

inline

C++ version of gsl_cdf_tdist_Qinv().

Parameters

Q	A probability
nu	The degrees of freedom

Returns: The inverse cumulative distribution function

Definition at line 327 of file cdf.hpp.

◆ ugaussian_P()

double gsl::cdf::ugaussian_P ( double const x )

inline

C++ version of gsl_cdf_ugaussian_P().

Parameters

x	A real value

Returns: The cumulative distribution function

Definition at line 35 of file cdf.hpp.

◆ ugaussian_Pinv()

double gsl::cdf::ugaussian_Pinv ( double const P )

inline

C++ version of gsl_cdf_ugaussian_Pinv().

Parameters

P	A probability

Returns: The cumulative distribution function

Definition at line 47 of file cdf.hpp.

References gsl::sf::ellint::P().

◆ ugaussian_Q()

double gsl::cdf::ugaussian_Q ( double const x )

inline

C++ version of gsl_cdf_ugaussian_Q().

Parameters

x	A real value

Returns: The cumulative distribution function

Definition at line 41 of file cdf.hpp.

◆ ugaussian_Qinv()

double gsl::cdf::ugaussian_Qinv ( double const Q )

inline

C++ version of gsl_cdf_ugaussian_Qinv().

Parameters

Q	A probability

Returns: The inverse cumulative distribution function

Definition at line 53 of file cdf.hpp.

◆ weibull_P()

double gsl::cdf::weibull_P	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_weibull_P().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 551 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ weibull_Pinv()

double gsl::cdf::weibull_Pinv	(	double const	P,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_weibull_Pinv().

Parameters

P	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 569 of file cdf.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::sf::ellint::P().

◆ weibull_Q()

double gsl::cdf::weibull_Q	(	double const	x,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_weibull_Q().

Parameters

x	A real value
a	The first parameter
b	The second parameter

Returns: The cumulative distribution function

Definition at line 560 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ weibull_Qinv()

double gsl::cdf::weibull_Qinv	(	double const	Q,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cdf_weibull_Qinv().

Parameters

Q	A probability
a	The first parameter
b	The second parameter

Returns: The inverse cumulative distribution function

Definition at line 578 of file cdf.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

Functions

Detailed Description

Function Documentation

◆ beta_P()

◆ beta_Pinv()

◆ beta_Q()

◆ beta_Qinv()

◆ binomial_P()

◆ binomial_Q()

◆ cauchy_P()

◆ cauchy_Pinv()

◆ cauchy_Q()

◆ cauchy_Qinv()

◆ chisq_P()

◆ chisq_Pinv()

◆ chisq_Q()

◆ chisq_Qinv()

◆ exponential_P()

◆ exponential_Pinv()

◆ exponential_Q()

◆ exponential_Qinv()

◆ exppow_P()

◆ exppow_Q()

◆ fdist_P()

◆ fdist_Pinv()

◆ fdist_Q()

◆ fdist_Qinv()

◆ flat_P()

◆ flat_Pinv()

◆ flat_Q()

◆ flat_Qinv()

◆ gamma_P()

◆ gamma_Pinv()

◆ gamma_Q()

◆ gamma_Qinv()

◆ gaussian_P()

◆ gaussian_Pinv()

◆ gaussian_Q()

◆ gaussian_Qinv()

◆ geometric_P()

◆ geometric_Q()

◆ gumbel1_P()

◆ gumbel1_Pinv()

◆ gumbel1_Q()

◆ gumbel1_Qinv()

◆ gumbel2_P()

◆ gumbel2_Pinv()

◆ gumbel2_Q()

◆ gumbel2_Qinv()

◆ hypergeometric_P()

◆ hypergeometric_Q()

◆ laplace_P()

◆ laplace_Pinv()

◆ laplace_Q()

◆ laplace_Qinv()

◆ logistic_P()

◆ logistic_Pinv()

◆ logistic_Q()

◆ logistic_Qinv()

◆ lognormal_P()

◆ lognormal_Pinv()

◆ lognormal_Q()

◆ lognormal_Qinv()

◆ negative_binomial_P()

◆ negative_binomial_Q()

◆ pareto_P()

◆ pareto_Pinv()

◆ pareto_Q()

◆ pareto_Qinv()

◆ pascal_P()

◆ pascal_Q()

◆ poisson_P()

◆ poisson_Q()

◆ rayleigh_P()

◆ rayleigh_Pinv()

◆ rayleigh_Q()

◆ rayleigh_Qinv()

◆ tdist_P()

◆ tdist_Pinv()

◆ tdist_Q()