PDL::GSL::CDF(3) PDL interface to GSL Cumulative Distribution Functions

DESCRIPTION

This is an interface to the Cumulative Distribution Function package present in the GNU Scientific Library.

Let us have a continuous random number distributions are defined by a probability density function p(x).

The cumulative distribution function for the lower tail P(x) is defined by the integral of p(x), and gives the probability of a variate taking a value less than "x". These functions are named cdf_NNNNNNN_P().

The cumulative distribution function for the upper tail Q(x) is defined by the integral of p(x), and gives the probability of a variate taking a value greater than "x". These functions are named cdf_NNNNNNN_Q().

The upper and lower cumulative distribution functions are related by "P(x) + Q(x) = 1" and satisfy "0 <= P(x) <= 1" and "0 <= Q(x) <= 1".

The inverse cumulative distributions, "x = Pinv(P)" and "x = Qinv(Q)" give the values of "x" which correspond to a specific value of "P" or "Q". They can be used to find confidence limits from probability values. These functions are named cdf_NNNNNNN_Pinv() and cdf_NNNNNNN_Qinv().

For discrete distributions the probability of sampling the integer value "k" is given by p(k), where "sum_k p(k) = 1". The cumulative distribution for the lower tail P(k) of a discrete distribution is defined as, where the sum is over the allowed range of the distribution less than or equal to "k".

The cumulative distribution for the upper tail of a discrete distribution Q(k) is defined as giving the sum of probabilities for all values greater than "k". These two definitions satisfy the identity "P(k) + Q(k) = 1".

If the range of the distribution is 1 to "n" inclusive then "P(n) = 1", "Q(n) = 0" while "P(1) = p(1)", "Q(1) = 1 - p(1)".

SYNOPSIS

use PDL;
use PDL::GSL::CDF;
my \$p = gsl_cdf_tdist_P( \$t, \$df );
my \$t = gsl_cdf_tdist_Pinv( \$p, \$df );

The Beta Distribution (gsl_cdf_beta_*)

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_beta_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_beta_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_beta_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_beta_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_beta_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_beta_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_beta_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_beta_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Binomial Distribution (gsl_cdf_binomial_*)

These functions compute the cumulative distribution functions P(k), Q(k) for the binomial distribution with parameters p and n.

gsl_cdf_binomial_P

```  Signature: (ushort k(); double p(); ushort n();  [o]out())
```

gsl_cdf_binomial_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_binomial_Q

```  Signature: (ushort k(); double p(); ushort n();  [o]out())
```

gsl_cdf_binomial_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Cauchy Distribution (gsl_cdf_cauchy_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Cauchy distribution with scale parameter a.

gsl_cdf_cauchy_P

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_cauchy_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_cauchy_Pinv

```  Signature: (double p(); double a();  [o]out())
```

gsl_cdf_cauchy_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_cauchy_Q

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_cauchy_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_cauchy_Qinv

```  Signature: (double q(); double a();  [o]out())
```

gsl_cdf_cauchy_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Chi-squared Distribution (gsl_cdf_chisq_*)

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_chisq_P

```  Signature: (double x(); double nu();  [o]out())
```

gsl_cdf_chisq_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_chisq_Pinv

```  Signature: (double p(); double nu();  [o]out())
```

gsl_cdf_chisq_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_chisq_Q

```  Signature: (double x(); double nu();  [o]out())
```

gsl_cdf_chisq_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_chisq_Qinv

```  Signature: (double q(); double nu();  [o]out())
```

gsl_cdf_chisq_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Exponential Distribution (gsl_cdf_exponential_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the exponential distribution with mean mu.

gsl_cdf_exponential_P

```  Signature: (double x(); double mu();  [o]out())
```

gsl_cdf_exponential_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_exponential_Pinv

```  Signature: (double p(); double mu();  [o]out())
```

gsl_cdf_exponential_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_exponential_Q

```  Signature: (double x(); double mu();  [o]out())
```

gsl_cdf_exponential_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_exponential_Qinv

```  Signature: (double q(); double mu();  [o]out())
```

gsl_cdf_exponential_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Exponential Power Distribution (gsl_cdf_exppow_*)

These functions compute the cumulative distribution functions P(x), Q(x) for the exponential power distribution with parameters a and b.

gsl_cdf_exppow_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_exppow_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_exppow_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_exppow_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The F-distribution (gsl_cdf_fdist_*)

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_fdist_P

```  Signature: (double x(); double nua(); double nub();  [o]out())
```

gsl_cdf_fdist_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_fdist_Pinv

```  Signature: (double p(); double nua(); double nub();  [o]out())
```

gsl_cdf_fdist_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_fdist_Q

```  Signature: (double x(); double nua(); double nub();  [o]out())
```

gsl_cdf_fdist_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_fdist_Qinv

```  Signature: (double q(); double nua(); double nub();  [o]out())
```

gsl_cdf_fdist_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Flat (Uniform) Distribution (gsl_cdf_flat_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for a uniform distribution from a to b.

gsl_cdf_flat_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_flat_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_flat_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_flat_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_flat_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_flat_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_flat_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_flat_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Gamma Distribution (gsl_cdf_gamma_*)

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_gamma_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gamma_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gamma_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_gamma_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gamma_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gamma_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gamma_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_gamma_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Gaussian Distribution (gsl_cdf_gaussian_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Gaussian distribution with standard deviation sigma.

gsl_cdf_gaussian_P

```  Signature: (double x(); double sigma();  [o]out())
```

gsl_cdf_gaussian_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gaussian_Pinv

```  Signature: (double p(); double sigma();  [o]out())
```

gsl_cdf_gaussian_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gaussian_Q

```  Signature: (double x(); double sigma();  [o]out())
```

gsl_cdf_gaussian_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gaussian_Qinv

```  Signature: (double q(); double sigma();  [o]out())
```

gsl_cdf_gaussian_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Geometric Distribution (gsl_cdf_geometric_*)

These functions compute the cumulative distribution functions P(k), Q(k) for the geometric distribution with parameter p.

gsl_cdf_geometric_P

```  Signature: (ushort k(); double p();  [o]out())
```

gsl_cdf_geometric_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_geometric_Q

```  Signature: (ushort k(); double p();  [o]out())
```

gsl_cdf_geometric_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Type-1 Gumbel Distribution (gsl_cdf_gumbel1_*)

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_gumbel1_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel1_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel1_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel1_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel1_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel1_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel1_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel1_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Type-2 Gumbel Distribution (gsl_cdf_gumbel2_*)

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_gumbel2_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel2_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel2_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel2_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel2_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel2_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_gumbel2_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_gumbel2_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Hypergeometric Distribution (gsl_cdf_hypergeometric_*)

These functions compute the cumulative distribution functions P(k), Q(k) for the hypergeometric distribution with parameters n1, n2 and t.

gsl_cdf_hypergeometric_P

```  Signature: (ushort k(); ushort na(); ushort nb(); ushort t();  [o]out())
```

gsl_cdf_hypergeometric_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_hypergeometric_Q

```  Signature: (ushort k(); ushort na(); ushort nb(); ushort t();  [o]out())
```

gsl_cdf_hypergeometric_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Laplace Distribution (gsl_cdf_laplace_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Laplace distribution with width a.

gsl_cdf_laplace_P

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_laplace_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_laplace_Pinv

```  Signature: (double p(); double a();  [o]out())
```

gsl_cdf_laplace_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_laplace_Q

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_laplace_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_laplace_Qinv

```  Signature: (double q(); double a();  [o]out())
```

gsl_cdf_laplace_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Logistic Distribution (gsl_cdf_logistic_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the logistic distribution with scale parameter a.

gsl_cdf_logistic_P

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_logistic_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_logistic_Pinv

```  Signature: (double p(); double a();  [o]out())
```

gsl_cdf_logistic_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_logistic_Q

```  Signature: (double x(); double a();  [o]out())
```

gsl_cdf_logistic_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_logistic_Qinv

```  Signature: (double q(); double a();  [o]out())
```

gsl_cdf_logistic_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Lognormal Distribution (gsl_cdf_lognormal_*)

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_lognormal_P

```  Signature: (double x(); double zeta(); double sigma();  [o]out())
```

gsl_cdf_lognormal_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_lognormal_Pinv

```  Signature: (double p(); double zeta(); double sigma();  [o]out())
```

gsl_cdf_lognormal_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_lognormal_Q

```  Signature: (double x(); double zeta(); double sigma();  [o]out())
```

gsl_cdf_lognormal_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_lognormal_Qinv

```  Signature: (double q(); double zeta(); double sigma();  [o]out())
```

gsl_cdf_lognormal_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_negative_binomial_P

```  Signature: (ushort k(); double p(); double n();  [o]out())
```

gsl_cdf_negative_binomial_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_negative_binomial_Q

```  Signature: (ushort k(); double p(); double n();  [o]out())
```

gsl_cdf_negative_binomial_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Pareto Distribution (gsl_cdf_pareto_*)

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_pareto_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_pareto_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_pareto_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_pareto_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_pareto_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_pareto_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_pareto_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_pareto_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Pascal Distribution (gsl_cdf_pascal_*)

These functions compute the cumulative distribution functions P(k), Q(k) for the Pascal distribution with parameters p and n.

gsl_cdf_pascal_P

```  Signature: (ushort k(); double p(); ushort n();  [o]out())
```

gsl_cdf_pascal_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_pascal_Q

```  Signature: (ushort k(); double p(); ushort n();  [o]out())
```

gsl_cdf_pascal_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Poisson Distribution (gsl_cdf_poisson_*)

These functions compute the cumulative distribution functions P(k), Q(k) for the Poisson distribution with parameter mu.

gsl_cdf_poisson_P

```  Signature: (ushort k(); double mu();  [o]out())
```

gsl_cdf_poisson_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_poisson_Q

```  Signature: (ushort k(); double mu();  [o]out())
```

gsl_cdf_poisson_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Rayleigh Distribution (gsl_cdf_rayleigh_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Rayleigh distribution with scale parameter sigma.

gsl_cdf_rayleigh_P

```  Signature: (double x(); double sigma();  [o]out())
```

gsl_cdf_rayleigh_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_rayleigh_Pinv

```  Signature: (double p(); double sigma();  [o]out())
```

gsl_cdf_rayleigh_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_rayleigh_Q

```  Signature: (double x(); double sigma();  [o]out())
```

gsl_cdf_rayleigh_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_rayleigh_Qinv

```  Signature: (double q(); double sigma();  [o]out())
```

gsl_cdf_rayleigh_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The t-distribution (gsl_cdf_tdist_*)

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_tdist_P

```  Signature: (double x(); double nu();  [o]out())
```

gsl_cdf_tdist_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_tdist_Pinv

```  Signature: (double p(); double nu();  [o]out())
```

gsl_cdf_tdist_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_tdist_Q

```  Signature: (double x(); double nu();  [o]out())
```

gsl_cdf_tdist_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_tdist_Qinv

```  Signature: (double q(); double nu();  [o]out())
```

gsl_cdf_tdist_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Unit Gaussian Distribution (gsl_cdf_ugaussian_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the unit Gaussian distribution.

gsl_cdf_ugaussian_P

```  Signature: (double x();  [o]out())
```

gsl_cdf_ugaussian_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_ugaussian_Pinv

```  Signature: (double p();  [o]out())
```

gsl_cdf_ugaussian_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_ugaussian_Q

```  Signature: (double x();  [o]out())
```

gsl_cdf_ugaussian_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_ugaussian_Qinv

```  Signature: (double q();  [o]out())
```

gsl_cdf_ugaussian_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

The Weibull Distribution (gsl_cdf_weibull_*)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Weibull distribution with scale a and exponent b.

gsl_cdf_weibull_P

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_weibull_P processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_weibull_Pinv

```  Signature: (double p(); double a(); double b();  [o]out())
```

gsl_cdf_weibull_Pinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_weibull_Q

```  Signature: (double x(); double a(); double b();  [o]out())
```

gsl_cdf_weibull_Q processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_cdf_weibull_Qinv

```  Signature: (double q(); double a(); double b();  [o]out())
```

gsl_cdf_weibull_Qinv processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

AUTHOR

Copyright (C) 2009 Maggie J. Xiong <maggiexyz users.sourceforge.net>

The GSL CDF module was written by J. Stover.

All rights reserved. There is no warranty. You are allowed to redistribute this software / documentation as described in the file COPYING in the PDL distribution.