Provided by: libmath-gsl-perl_0.44-1build3_amd64 bug

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   information   on   the   functions,   we  refer  you  to  the  GSL  official  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) 2008-2023 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 v5.38.2                                       2024-03-31                                Math::GSL::CDF(3pm)