Math::GSL::CDF - Cumulative Distribution Functions
use Math::GSL::CDF qw /:all/; my $x = gsl_cdf_gaussian_Pinv($P, $sigma);
These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the named distributions.
Here is a list of all the functions included in this module : gsl_cdf_ugaussian_P($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:
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/
Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/ name_of_the_function_you_want
Example using import tags:
use Math::GSL::CDF qw /:beta/; print gsl_cdf_beta_P(1,2,3) . "\n";
Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
Copyright (C) 2008-2009 Jonathan Leto and Thierry Moisan
This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.
To install Math::GSL, copy and paste the appropriate command in to your terminal.
cpanm
cpanm Math::GSL
CPAN shell
perl -MCPAN -e shell install Math::GSL
For more information on module installation, please visit the detailed CPAN module installation guide.