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Math::GSL::CDF(3)     User Contributed Perl Documentation    Math::GSL::CDF(3)

NAME
       Math::GSL::CDF -	Cumulative Distribution	Functions

SYNOPSIS
	   use Math::GSL::CDF qw/:all/;
	   my $x = gsl_cdf_gaussian_Pinv($P, $sigma);

	   use Math::GSL::CDF qw/:beta/;
	   print gsl_cdf_beta_P(1,2,3) . "\n";

       These functions compute the cumulative distribution functions P(x),
       Q(x) and	their inverses for the named distributions.

DESCRIPTION
       Here is a list of all the functions included in this module :

       gsl_cdf_ugaussian_P($x)
       gsl_cdf_ugaussian_Q($x)
       gsl_cdf_ugaussian_Pinv($P)
       gsl_cdf_ugaussian_Qinv($Q)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the unit	Gaussian distribution.

       gsl_cdf_gaussian_P($x, $sigma)
       gsl_cdf_gaussian_Q($x, $sigma)
       gsl_cdf_gaussian_Pinv($P, $sigma)
       gsl_cdf_gaussian_Qinv($Q, $sigma)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Gaussian distribution with standard
	   deviation $sigma.

       gsl_cdf_gamma_P($x, $a, $b)
       gsl_cdf_gamma_Q($x, $a, $b)
       gsl_cdf_gamma_Pinv($P, $a, $b)
       gsl_cdf_gamma_Qinv($Q, $a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the gamma distribution with parameters
	   $a and $b.

       gsl_cdf_cauchy_P($x, $a)
       gsl_cdf_cauchy_Q($x, $a)
       gsl_cdf_cauchy_Pinv($P, $a)
       gsl_cdf_cauchy_Qinv($Q, $a)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Cauchy distribution with scale
	   parameter $a.

       gsl_cdf_laplace_P($x, $a)
       gsl_cdf_laplace_Q($x, $a)
       gsl_cdf_laplace_Pinv($P,	$a)
       gsl_cdf_laplace_Qinv($Q,	$a)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Laplace distribution	with width $a.

       gsl_cdf_rayleigh_P($x, $sigma)
       gsl_cdf_rayleigh_Q($x, $sigma)
       gsl_cdf_rayleigh_Pinv($P, $sigma)
       gsl_cdf_rayleigh_Qinv($Q, $sigma)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Rayleigh distribution with scale
	   parameter $sigma.

       gsl_cdf_chisq_P($x, $nu)
       gsl_cdf_chisq_Q($x, $nu)
       gsl_cdf_chisq_Pinv($P, $nu)
       gsl_cdf_chisq_Qinv($Q, $nu)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the chi-squared distribution with $nu
	   degrees of freedom.

       gsl_cdf_exponential_P($x, $mu)
       gsl_cdf_exponential_Q($x, $mu)
       gsl_cdf_exponential_Pinv($P, $mu)
       gsl_cdf_exponential_Qinv($Q, $mu)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Laplace distribution	with width $a.

       gsl_cdf_exppow_P($x, $a,	$b)
       gsl_cdf_exppow_Q($x, $a,	$b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	for the	exponential power distribution with parameters $a and
	   $b.

       gsl_cdf_tdist_P($x, $nu)
       gsl_cdf_tdist_Q($x, $nu)
       gsl_cdf_tdist_Pinv($P, $nu)
       gsl_cdf_tdist_Qinv($Q, $nu)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the t-distribution with $nu degrees of
	   freedom.

       gsl_cdf_fdist_P($x, $nu1, $nu2)
       gsl_cdf_fdist_Q($x, $nu1, $nu2)
       gsl_cdf_fdist_Pinv($P, $nu1, $nu2)
       gsl_cdf_fdist_Qinv($Q, $nu1, $nu2)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the F-distribution with $nu1 and	$nu2
	   degrees of freedom.

       gsl_cdf_beta_P($x, $a, $b)
       gsl_cdf_beta_Q($x, $a, $b)
       gsl_cdf_beta_Pinv($P, $a, $b)
       gsl_cdf_beta_Qinv($Q, $a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the beta	distribution with parameters
	   $a and $b.

       gsl_cdf_flat_P($x, $a, $b)
       gsl_cdf_flat_Q($x, $a, $b)
       gsl_cdf_flat_Pinv($P, $a, $b)
       gsl_cdf_flat_Qinv($Q, $a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for a uniform distribution from $a to $b.

       gsl_cdf_lognormal_P($x, $zeta, $sigma)
       gsl_cdf_lognormal_Q($x, $zeta, $sigma)
       gsl_cdf_lognormal_Pinv($P, $zeta, $sigma)
       gsl_cdf_lognormal_Qinv($Q, $zeta, $sigma)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the lognormal distribution with
	   parameters $zeta and	$sigma.

       gsl_cdf_gumbel1_P($x, $a, $b)
       gsl_cdf_gumbel1_Q($x, $a, $b)
       gsl_cdf_gumbel1_Pinv($P,	$a, $b)
       gsl_cdf_gumbel1_Qinv($Q,	$a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Type-1 Gumbel distribution with
	   parameters $a and $b.

       gsl_cdf_gumbel2_P($x, $a, $b)
       gsl_cdf_gumbel2_Q($x, $a, $b)
       gsl_cdf_gumbel2_Pinv($P,	$a, $b)
       gsl_cdf_gumbel2_Qinv($Q,	$a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Type-2 Gumbel distribution with
	   parameters $a and $b.

       gsl_cdf_weibull_P($x, $a, $b)
       gsl_cdf_weibull_Q($x, $a, $b)
       gsl_cdf_weibull_Pinv($P,	$a, $b)
       gsl_cdf_weibull_Qinv($Q,	$a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Type-1 Gumbel distribution with
	   parameters $a and $b.

       gsl_cdf_pareto_P($x, $a,	$b)
       gsl_cdf_pareto_Q($x, $a,	$b)
       gsl_cdf_pareto_Pinv($P, $a, $b)
       gsl_cdf_pareto_Qinv($Q, $a, $b)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the Pareto distribution with exponent
	   $a and scale	$b.

       gsl_cdf_logistic_P($x, $a)
       gsl_cdf_logistic_Q($x, $a)
       gsl_cdf_logistic_Pinv($P, $a)
       gsl_cdf_logistic_Qinv($Q, $a)
	   These functions compute the cumulative distribution functions P(x),
	   Q(x)	and their inverses for the logistic distribution with scale
	   parameter a.

       gsl_cdf_binomial_P($k, $p, $n)
       gsl_cdf_binomial_Q($k, $p, $n)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	binomial distribution with parameters $p and $n.

       gsl_cdf_poisson_P($k, $mu)
       gsl_cdf_poisson_Q($k, $mu)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	Poisson	distribution with parameter $mu.

       gsl_cdf_geometric_P($k, $p)
       gsl_cdf_geometric_Q($k, $p)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	geometric distribution with parameter $p.

       gsl_cdf_negative_binomial_P($k, $p, $n)
       gsl_cdf_negative_binomial_Q($k, $p, $n)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	negative binomial distribution with parameters $p and
	   $n.

       gsl_cdf_pascal_P($k, $p,	$n)
       gsl_cdf_pascal_Q($k, $p,	$n)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	Pascal distribution with parameters $p and $n.

       gsl_cdf_hypergeometric_P($k, $n1, $n2, $t)
       gsl_cdf_hypergeometric_Q($k, $n1, $n2, $t)
	   These functions compute the cumulative distribution functions P(k),
	   Q(k)	for the	hypergeometric distribution with parameters $n1, $n2
	   and $t.

       To import specific functions, list them in the use line.	To import all
       function	exportable by Math::GSL::CDF do

	   use Math::GSL::CDF qw/:all/

       This is the list	of available import tags:

       geometric
       tdist
       ugaussian
       rayleigh
       pascal
       exponential
       gumbel2
       gumbel1
       exppow
       logistic
       weibull
       gaussian
       poisson
       beta
       binomial
       laplace
       lognormal
       cauchy
       fdist
       chisq
       gamma
       hypergeometric
       negative
       pareto
       flat

       For example the beta tag	contains theses	functions : gsl_cdf_beta_P,
       gsl_cdf_beta_Q, gsl_cdf_beta_Pinv, gsl_cdf_beta_Qinv .

       For more	informations on	the functions, we refer	you to the GSL offcial
       documentation: <http://www.gnu.org/software/gsl/manual/html_node/>

AUTHORS
       Jonathan	"Duke" Leto <jonathan@leto.net>	and Thierry Moisan
       <thierry.moisan@gmail.com>

COPYRIGHT AND LICENSE
       Copyright (C) 2008-2020 Jonathan	"Duke" Leto and	Thierry	Moisan

       This program is free software; you can redistribute it and/or modify it
       under the same terms as Perl itself.

perl v5.32.1			  2021-08-27		     Math::GSL::CDF(3)

NAME | SYNOPSIS | DESCRIPTION | AUTHORS | COPYRIGHT AND LICENSE

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