Math::GSL::CDF(3pm)

📦

version 0.49 · 6 versions

💖 NAME 💖

okay so bestie, this is Math::GSL::CDF — Cumulative Distribution Functions ✨ like, the whole vibe is P(x), Q(x), and their inverses, and it's giving math but make it cute 🎀

🌸 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. 💅 periodt.

🦋 DESCRIPTION 🦋

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

🌈 the unit Gaussian crew 🌈

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. ✨

🫶 the Gaussian crew 🫶

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. 💖

🌸 the gamma crew 🌸

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. 🧚

🦋 the Cauchy crew 🦋

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. 💜

🎀 the Laplace crew 🎀

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. ✨

🌈 the Rayleigh crew 🌈

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. 🔥

💅 the chi-squared crew 💅

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. 👑

🍓 the exponential crew 🍓

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. 🙈 (yes, that's literally what this page says for the exponential crew — not me, iykyk.)

⭐ the exponential power crew ⭐

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. ✨

🎀 the t-distribution crew 🎀

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. 💜

🦋 the F-distribution crew 🦋

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. 🌸

🌈 the beta crew 🌈

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. 🔥

🫶 the flat (uniform) crew 🫶

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. ✨

💜 the lognormal crew 💜

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. 🧚

⭐ the Type-1 Gumbel crew ⭐

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. 💫

⭐ the Type-2 Gumbel crew ⭐

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. 💫

🎀 the Weibull crew 🎀

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. 🙈 (again, that's the page's own words right there.)

🍓 the Pareto crew 🍓

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. 👑

🌸 the logistic crew 🌸

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. 💖

🦋 the binomial crew 🦋

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. ✨

💜 the Poisson crew 💜

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. 🌈

🌈 the geometric crew 🌈

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. ✨

🎀 the negative binomial crew 🎀

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. 💫

⭐ the Pascal crew ⭐

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. 🫶

🍓 the hypergeometric crew 🍓

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. 🔥

🫶 importing, aka picking your faves 🫶

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> — icons, honestly 👑🫶

📜 COPYRIGHT AND LICENSE 📜

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

and that's the whole page bestie, no cap 💖 this one's running on perl v5.42.3, dated 2026-08-20, and it's literally the Math::GSL::CDF(3pm) manual — go forth and compute those CDFs, you ate 🎀🦋💅

📦 where this page comes from

ubuntu stonking: libmath-gsl-perl 0.49-1build1 · Artistic-1.0-Perl OR GPL-1.0-or-later
💖 girlified by deepseek-ai/DeepSeek-V4.1-Flash on 2026-11-03: a language model's rewrite of the original, under its terms