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.\" ========================================================================
.\"
.IX Title "Math::GSL::CDF 3pm"
.TH Math::GSL::CDF 3pm "2019-02-23" "perl v5.28.1" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SH "NAME"
Math::GSL::CDF \- Cumulative Distribution Functions
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 2
\&    use Math::GSL::CDF qw/:all/;
\&    my $x = gsl_cdf_gaussian_Pinv($P, $sigma);
\&
\&    use Math::GSL::CDF qw/:beta/;
\&    print gsl_cdf_beta_P(1,2,3) . "\en";
.Ve
.PP
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the named distributions.
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
Here is a list of all the functions included in this module :
.IP "gsl_cdf_ugaussian_P($x)" 4
.IX Item "gsl_cdf_ugaussian_P($x)"
.PD 0
.IP "gsl_cdf_ugaussian_Q($x)" 4
.IX Item "gsl_cdf_ugaussian_Q($x)"
.IP "gsl_cdf_ugaussian_Pinv($P)" 4
.IX Item "gsl_cdf_ugaussian_Pinv($P)"
.IP "gsl_cdf_ugaussian_Qinv($Q)" 4
.IX Item "gsl_cdf_ugaussian_Qinv($Q)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the unit Gaussian distribution.
.ie n .IP "gsl_cdf_gaussian_P($x, $sigma)" 4
.el .IP "gsl_cdf_gaussian_P($x, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_gaussian_P($x, $sigma)"
.PD 0
.ie n .IP "gsl_cdf_gaussian_Q($x, $sigma)" 4
.el .IP "gsl_cdf_gaussian_Q($x, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_gaussian_Q($x, $sigma)"
.ie n .IP "gsl_cdf_gaussian_Pinv($P, $sigma)" 4
.el .IP "gsl_cdf_gaussian_Pinv($P, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_gaussian_Pinv($P, $sigma)"
.ie n .IP "gsl_cdf_gaussian_Qinv($Q, $sigma)" 4
.el .IP "gsl_cdf_gaussian_Qinv($Q, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_gaussian_Qinv($Q, $sigma)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Gaussian distribution with standard deviation \f(CW$sigma\fR.
.ie n .IP "gsl_cdf_gamma_P($x, $a, $b)" 4
.el .IP "gsl_cdf_gamma_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gamma_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_gamma_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_gamma_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gamma_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_gamma_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_gamma_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gamma_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_gamma_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_gamma_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gamma_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the gamma distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_cauchy_P($x, $a)" 4
.el .IP "gsl_cdf_cauchy_P($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_cauchy_P($x, $a)"
.PD 0
.ie n .IP "gsl_cdf_cauchy_Q($x, $a)" 4
.el .IP "gsl_cdf_cauchy_Q($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_cauchy_Q($x, $a)"
.ie n .IP "gsl_cdf_cauchy_Pinv($P, $a)" 4
.el .IP "gsl_cdf_cauchy_Pinv($P, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_cauchy_Pinv($P, $a)"
.ie n .IP "gsl_cdf_cauchy_Qinv($Q, $a)" 4
.el .IP "gsl_cdf_cauchy_Qinv($Q, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_cauchy_Qinv($Q, $a)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Cauchy distribution with scale parameter \f(CW$a\fR.
.ie n .IP "gsl_cdf_laplace_P($x, $a)" 4
.el .IP "gsl_cdf_laplace_P($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_laplace_P($x, $a)"
.PD 0
.ie n .IP "gsl_cdf_laplace_Q($x, $a)" 4
.el .IP "gsl_cdf_laplace_Q($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_laplace_Q($x, $a)"
.ie n .IP "gsl_cdf_laplace_Pinv($P, $a)" 4
.el .IP "gsl_cdf_laplace_Pinv($P, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_laplace_Pinv($P, $a)"
.ie n .IP "gsl_cdf_laplace_Qinv($Q, $a)" 4
.el .IP "gsl_cdf_laplace_Qinv($Q, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_laplace_Qinv($Q, $a)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Laplace distribution with width \f(CW$a\fR.
.ie n .IP "gsl_cdf_rayleigh_P($x, $sigma)" 4
.el .IP "gsl_cdf_rayleigh_P($x, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_rayleigh_P($x, $sigma)"
.PD 0
.ie n .IP "gsl_cdf_rayleigh_Q($x, $sigma)" 4
.el .IP "gsl_cdf_rayleigh_Q($x, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_rayleigh_Q($x, $sigma)"
.ie n .IP "gsl_cdf_rayleigh_Pinv($P, $sigma)" 4
.el .IP "gsl_cdf_rayleigh_Pinv($P, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_rayleigh_Pinv($P, $sigma)"
.ie n .IP "gsl_cdf_rayleigh_Qinv($Q, $sigma)" 4
.el .IP "gsl_cdf_rayleigh_Qinv($Q, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_rayleigh_Qinv($Q, $sigma)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Rayleigh distribution with scale parameter \f(CW$sigma\fR.
.ie n .IP "gsl_cdf_chisq_P($x, $nu)" 4
.el .IP "gsl_cdf_chisq_P($x, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_chisq_P($x, $nu)"
.PD 0
.ie n .IP "gsl_cdf_chisq_Q($x, $nu)" 4
.el .IP "gsl_cdf_chisq_Q($x, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_chisq_Q($x, $nu)"
.ie n .IP "gsl_cdf_chisq_Pinv($P, $nu)" 4
.el .IP "gsl_cdf_chisq_Pinv($P, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_chisq_Pinv($P, $nu)"
.ie n .IP "gsl_cdf_chisq_Qinv($Q, $nu)" 4
.el .IP "gsl_cdf_chisq_Qinv($Q, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_chisq_Qinv($Q, $nu)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the chi-squared distribution with \f(CW$nu\fR degrees of freedom.
.ie n .IP "gsl_cdf_exponential_P($x, $mu)" 4
.el .IP "gsl_cdf_exponential_P($x, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_exponential_P($x, $mu)"
.PD 0
.ie n .IP "gsl_cdf_exponential_Q($x, $mu)" 4
.el .IP "gsl_cdf_exponential_Q($x, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_exponential_Q($x, $mu)"
.ie n .IP "gsl_cdf_exponential_Pinv($P, $mu)" 4
.el .IP "gsl_cdf_exponential_Pinv($P, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_exponential_Pinv($P, $mu)"
.ie n .IP "gsl_cdf_exponential_Qinv($Q, $mu)" 4
.el .IP "gsl_cdf_exponential_Qinv($Q, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_exponential_Qinv($Q, $mu)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Laplace distribution with width \f(CW$a\fR.
.ie n .IP "gsl_cdf_exppow_P($x, $a, $b)" 4
.el .IP "gsl_cdf_exppow_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_exppow_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_exppow_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_exppow_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_exppow_Q($x, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) for
the exponential power distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_tdist_P($x, $nu)" 4
.el .IP "gsl_cdf_tdist_P($x, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_tdist_P($x, $nu)"
.PD 0
.ie n .IP "gsl_cdf_tdist_Q($x, $nu)" 4
.el .IP "gsl_cdf_tdist_Q($x, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_tdist_Q($x, $nu)"
.ie n .IP "gsl_cdf_tdist_Pinv($P, $nu)" 4
.el .IP "gsl_cdf_tdist_Pinv($P, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_tdist_Pinv($P, $nu)"
.ie n .IP "gsl_cdf_tdist_Qinv($Q, $nu)" 4
.el .IP "gsl_cdf_tdist_Qinv($Q, \f(CW$nu\fR)" 4
.IX Item "gsl_cdf_tdist_Qinv($Q, $nu)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the t\-distribution with \f(CW$nu\fR degrees of freedom.
.ie n .IP "gsl_cdf_fdist_P($x, $nu1, $nu2)" 4
.el .IP "gsl_cdf_fdist_P($x, \f(CW$nu1\fR, \f(CW$nu2\fR)" 4
.IX Item "gsl_cdf_fdist_P($x, $nu1, $nu2)"
.PD 0
.ie n .IP "gsl_cdf_fdist_Q($x, $nu1, $nu2)" 4
.el .IP "gsl_cdf_fdist_Q($x, \f(CW$nu1\fR, \f(CW$nu2\fR)" 4
.IX Item "gsl_cdf_fdist_Q($x, $nu1, $nu2)"
.ie n .IP "gsl_cdf_fdist_Pinv($P, $nu1, $nu2)" 4
.el .IP "gsl_cdf_fdist_Pinv($P, \f(CW$nu1\fR, \f(CW$nu2\fR)" 4
.IX Item "gsl_cdf_fdist_Pinv($P, $nu1, $nu2)"
.ie n .IP "gsl_cdf_fdist_Qinv($Q, $nu1, $nu2)" 4
.el .IP "gsl_cdf_fdist_Qinv($Q, \f(CW$nu1\fR, \f(CW$nu2\fR)" 4
.IX Item "gsl_cdf_fdist_Qinv($Q, $nu1, $nu2)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the F\-distribution with \f(CW$nu1\fR and \f(CW$nu2\fR degrees of freedom.
.ie n .IP "gsl_cdf_beta_P($x, $a, $b)" 4
.el .IP "gsl_cdf_beta_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_beta_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_beta_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_beta_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_beta_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_beta_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_beta_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_beta_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_beta_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_beta_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_beta_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the beta distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_flat_P($x, $a, $b)" 4
.el .IP "gsl_cdf_flat_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_flat_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_flat_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_flat_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_flat_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_flat_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_flat_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_flat_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_flat_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_flat_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_flat_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for a uniform distribution from \f(CW$a\fR to \f(CW$b\fR.
.ie n .IP "gsl_cdf_lognormal_P($x, $zeta, $sigma)" 4
.el .IP "gsl_cdf_lognormal_P($x, \f(CW$zeta\fR, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_lognormal_P($x, $zeta, $sigma)"
.PD 0
.ie n .IP "gsl_cdf_lognormal_Q($x, $zeta, $sigma)" 4
.el .IP "gsl_cdf_lognormal_Q($x, \f(CW$zeta\fR, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_lognormal_Q($x, $zeta, $sigma)"
.ie n .IP "gsl_cdf_lognormal_Pinv($P, $zeta, $sigma)" 4
.el .IP "gsl_cdf_lognormal_Pinv($P, \f(CW$zeta\fR, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_lognormal_Pinv($P, $zeta, $sigma)"
.ie n .IP "gsl_cdf_lognormal_Qinv($Q, $zeta, $sigma)" 4
.el .IP "gsl_cdf_lognormal_Qinv($Q, \f(CW$zeta\fR, \f(CW$sigma\fR)" 4
.IX Item "gsl_cdf_lognormal_Qinv($Q, $zeta, $sigma)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the lognormal distribution with parameters \f(CW$zeta\fR and \f(CW$sigma\fR.
.ie n .IP "gsl_cdf_gumbel1_P($x, $a, $b)" 4
.el .IP "gsl_cdf_gumbel1_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel1_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_gumbel1_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_gumbel1_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel1_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_gumbel1_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_gumbel1_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel1_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_gumbel1_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_gumbel1_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel1_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Type\-1 Gumbel distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_gumbel2_P($x, $a, $b)" 4
.el .IP "gsl_cdf_gumbel2_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel2_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_gumbel2_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_gumbel2_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel2_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_gumbel2_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_gumbel2_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel2_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_gumbel2_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_gumbel2_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_gumbel2_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Type\-2 Gumbel distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_weibull_P($x, $a, $b)" 4
.el .IP "gsl_cdf_weibull_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_weibull_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_weibull_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_weibull_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_weibull_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_weibull_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_weibull_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_weibull_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_weibull_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_weibull_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_weibull_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Type\-1 Gumbel distribution with parameters \f(CW$a\fR and \f(CW$b\fR.
.ie n .IP "gsl_cdf_pareto_P($x, $a, $b)" 4
.el .IP "gsl_cdf_pareto_P($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_pareto_P($x, $a, $b)"
.PD 0
.ie n .IP "gsl_cdf_pareto_Q($x, $a, $b)" 4
.el .IP "gsl_cdf_pareto_Q($x, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_pareto_Q($x, $a, $b)"
.ie n .IP "gsl_cdf_pareto_Pinv($P, $a, $b)" 4
.el .IP "gsl_cdf_pareto_Pinv($P, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_pareto_Pinv($P, $a, $b)"
.ie n .IP "gsl_cdf_pareto_Qinv($Q, $a, $b)" 4
.el .IP "gsl_cdf_pareto_Qinv($Q, \f(CW$a\fR, \f(CW$b\fR)" 4
.IX Item "gsl_cdf_pareto_Qinv($Q, $a, $b)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the Pareto distribution with exponent \f(CW$a\fR and scale \f(CW$b\fR.
.ie n .IP "gsl_cdf_logistic_P($x, $a)" 4
.el .IP "gsl_cdf_logistic_P($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_logistic_P($x, $a)"
.PD 0
.ie n .IP "gsl_cdf_logistic_Q($x, $a)" 4
.el .IP "gsl_cdf_logistic_Q($x, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_logistic_Q($x, $a)"
.ie n .IP "gsl_cdf_logistic_Pinv($P, $a)" 4
.el .IP "gsl_cdf_logistic_Pinv($P, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_logistic_Pinv($P, $a)"
.ie n .IP "gsl_cdf_logistic_Qinv($Q, $a)" 4
.el .IP "gsl_cdf_logistic_Qinv($Q, \f(CW$a\fR)" 4
.IX Item "gsl_cdf_logistic_Qinv($Q, $a)"
.PD
These functions compute the cumulative distribution functions P(x), Q(x) and
their inverses for the logistic distribution with scale parameter a.
.ie n .IP "gsl_cdf_binomial_P($k, $p, $n)" 4
.el .IP "gsl_cdf_binomial_P($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_binomial_P($k, $p, $n)"
.PD 0
.ie n .IP "gsl_cdf_binomial_Q($k, $p, $n)" 4
.el .IP "gsl_cdf_binomial_Q($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_binomial_Q($k, $p, $n)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the binomial distribution with parameters \f(CW$p\fR and \f(CW$n\fR.
.ie n .IP "gsl_cdf_poisson_P($k, $mu)" 4
.el .IP "gsl_cdf_poisson_P($k, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_poisson_P($k, $mu)"
.PD 0
.ie n .IP "gsl_cdf_poisson_Q($k, $mu)" 4
.el .IP "gsl_cdf_poisson_Q($k, \f(CW$mu\fR)" 4
.IX Item "gsl_cdf_poisson_Q($k, $mu)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the Poisson distribution with parameter \f(CW$mu\fR.
.ie n .IP "gsl_cdf_geometric_P($k, $p)" 4
.el .IP "gsl_cdf_geometric_P($k, \f(CW$p\fR)" 4
.IX Item "gsl_cdf_geometric_P($k, $p)"
.PD 0
.ie n .IP "gsl_cdf_geometric_Q($k, $p)" 4
.el .IP "gsl_cdf_geometric_Q($k, \f(CW$p\fR)" 4
.IX Item "gsl_cdf_geometric_Q($k, $p)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the geometric distribution with parameter \f(CW$p\fR.
.ie n .IP "gsl_cdf_negative_binomial_P($k, $p, $n)" 4
.el .IP "gsl_cdf_negative_binomial_P($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_negative_binomial_P($k, $p, $n)"
.PD 0
.ie n .IP "gsl_cdf_negative_binomial_Q($k, $p, $n)" 4
.el .IP "gsl_cdf_negative_binomial_Q($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_negative_binomial_Q($k, $p, $n)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the negative binomial distribution with parameters \f(CW$p\fR and \f(CW$n\fR.
.ie n .IP "gsl_cdf_pascal_P($k, $p, $n)" 4
.el .IP "gsl_cdf_pascal_P($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_pascal_P($k, $p, $n)"
.PD 0
.ie n .IP "gsl_cdf_pascal_Q($k, $p, $n)" 4
.el .IP "gsl_cdf_pascal_Q($k, \f(CW$p\fR, \f(CW$n\fR)" 4
.IX Item "gsl_cdf_pascal_Q($k, $p, $n)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the Pascal distribution with parameters \f(CW$p\fR and \f(CW$n\fR.
.ie n .IP "gsl_cdf_hypergeometric_P($k, $n1, $n2, $t)" 4
.el .IP "gsl_cdf_hypergeometric_P($k, \f(CW$n1\fR, \f(CW$n2\fR, \f(CW$t\fR)" 4
.IX Item "gsl_cdf_hypergeometric_P($k, $n1, $n2, $t)"
.PD 0
.ie n .IP "gsl_cdf_hypergeometric_Q($k, $n1, $n2, $t)" 4
.el .IP "gsl_cdf_hypergeometric_Q($k, \f(CW$n1\fR, \f(CW$n2\fR, \f(CW$t\fR)" 4
.IX Item "gsl_cdf_hypergeometric_Q($k, $n1, $n2, $t)"
.PD
These functions compute the cumulative distribution functions P(k), Q(k) for
the hypergeometric distribution with parameters \f(CW$n1\fR, \f(CW$n2\fR and \f(CW$t\fR.
.PP
To import specific functions, list them in the use line. To import
all function exportable by Math::GSL::CDF do
.PP
.Vb 1
\&    use Math::GSL::CDF qw/:all/
.Ve
.PP
This is the list of available import tags:
.IP "geometric" 4
.IX Item "geometric"
.PD 0
.IP "tdist" 4
.IX Item "tdist"
.IP "ugaussian" 4
.IX Item "ugaussian"
.IP "rayleigh" 4
.IX Item "rayleigh"
.IP "pascal" 4
.IX Item "pascal"
.IP "exponential" 4
.IX Item "exponential"
.IP "gumbel2" 4
.IX Item "gumbel2"
.IP "gumbel1" 4
.IX Item "gumbel1"
.IP "exppow" 4
.IX Item "exppow"
.IP "logistic" 4
.IX Item "logistic"
.IP "weibull" 4
.IX Item "weibull"
.IP "gaussian" 4
.IX Item "gaussian"
.IP "poisson" 4
.IX Item "poisson"
.IP "beta" 4
.IX Item "beta"
.IP "binomial" 4
.IX Item "binomial"
.IP "laplace" 4
.IX Item "laplace"
.IP "lognormal" 4
.IX Item "lognormal"
.IP "cauchy" 4
.IX Item "cauchy"
.IP "fdist" 4
.IX Item "fdist"
.IP "chisq" 4
.IX Item "chisq"
.IP "gamma" 4
.IX Item "gamma"
.IP "hypergeometric" 4
.IX Item "hypergeometric"
.IP "negative" 4
.IX Item "negative"
.IP "pareto" 4
.IX Item "pareto"
.IP "flat" 4
.IX Item "flat"
.PD
.PP
For example the beta tag contains theses functions : gsl_cdf_beta_P,
gsl_cdf_beta_Q, gsl_cdf_beta_Pinv, gsl_cdf_beta_Qinv .
.PP
For more information on the functions, we refer you to the \s-1GSL\s0 offcial documentation:
<http://www.gnu.org/software/gsl/manual/html_node/>
.SH "AUTHORS"
.IX Header "AUTHORS"
Jonathan \*(L"Duke\*(R" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
.SH "COPYRIGHT AND LICENSE"
.IX Header "COPYRIGHT AND LICENSE"
Copyright (C) 2008\-2011 Jonathan \*(L"Duke\*(R" Leto and Thierry Moisan
.PP
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.