oracular (3) Math::GSL::CDF.3pm.gz
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) 2008-2024 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.