S-Lang GSL Module Reference: gslcdf: The GSL Cumulative Distribution Function Module

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## 9. gslcdf: The GSL Cumulative Distribution Function Module

The `gslcdf` module wraps the GSL cumulative distribution functions.

## 9.1 CDF Functions

### cdf_beta_P

Synopsis

  S-Lang version of gsl_cdf_beta_P

Usage

  `Double_Type[] cdf_beta_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_beta_Q

Synopsis

  S-Lang version of gsl_cdf_beta_Q

Usage

  `Double_Type[] cdf_beta_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_cauchy_P

Synopsis

  S-Lang version of gsl_cdf_cauchy_P

Usage

  `Double_Type[] cdf_cauchy_P (Double_Type[] x, Double_Type[] a)`

### cdf_cauchy_Pinv

Synopsis

  S-Lang version of gsl_cdf_cauchy_Pinv

Usage

  `Double_Type[] cdf_cauchy_Pinv (Double_Type[] P, Double_Type[] a)`

### cdf_cauchy_Q

Synopsis

  S-Lang version of gsl_cdf_cauchy_Q

Usage

  `Double_Type[] cdf_cauchy_Q (Double_Type[] x, Double_Type[] a)`

### cdf_cauchy_Qinv

Synopsis

  S-Lang version of gsl_cdf_cauchy_Qinv

Usage

  `Double_Type[] cdf_cauchy_Qinv (Double_Type[] Q, Double_Type[] a)`

### cdf_chisq_P

Synopsis

  S-Lang version of gsl_cdf_chisq_P

Usage

  `Double_Type[] cdf_chisq_P (Double_Type[] x, Double_Type[] nu)`

### cdf_chisq_Pinv

Synopsis

  S-Lang version of gsl_cdf_chisq_Pinv

Usage

  `Double_Type[] cdf_chisq_Pinv (Double_Type[] P, Double_Type[] nu)`

### cdf_chisq_Q

Synopsis

  S-Lang version of gsl_cdf_chisq_Q

Usage

  `Double_Type[] cdf_chisq_Q (Double_Type[] x, Double_Type[] nu)`

### cdf_chisq_Qinv

Synopsis

  S-Lang version of gsl_cdf_chisq_Qinv

Usage

  `Double_Type[] cdf_chisq_Qinv (Double_Type[] Q, Double_Type[] nu)`

### cdf_exponential_P

Synopsis

  S-Lang version of gsl_cdf_exponential_P

Usage

  `Double_Type[] cdf_exponential_P (Double_Type[] x, Double_Type[] mu)`

### cdf_exponential_Pinv

Synopsis

  S-Lang version of gsl_cdf_exponential_Pinv

Usage

  `Double_Type[] cdf_exponential_Pinv (Double_Type[] P, Double_Type[] mu)`

### cdf_exponential_Q

Synopsis

  S-Lang version of gsl_cdf_exponential_Q

Usage

  `Double_Type[] cdf_exponential_Q (Double_Type[] x, Double_Type[] mu)`

### cdf_exponential_Qinv

Synopsis

  S-Lang version of gsl_cdf_exponential_Qinv

Usage

  `Double_Type[] cdf_exponential_Qinv (Double_Type[] Q, Double_Type[] mu)`

### cdf_fdist_P

Synopsis

  S-Lang version of gsl_cdf_fdist_P

Usage

  `Double_Type[] cdf_fdist_P (x, nu1, nu2)`

  > `

  >       Double_Type[] x
  >       Double_Type[] nu1
  >       Double_Type[] nu2

  > `

### cdf_fdist_Q

Synopsis

  S-Lang version of gsl_cdf_fdist_Q

Usage

  `Double_Type[] cdf_fdist_Q (x, nu1, nu2)`

  > `

  >       Double_Type[] x
  >       Double_Type[] nu1
  >       Double_Type[] nu2

  > `

### cdf_flat_P

Synopsis

  S-Lang version of gsl_cdf_flat_P

Usage

  `Double_Type[] cdf_flat_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_flat_Pinv

Synopsis

  S-Lang version of gsl_cdf_flat_Pinv

Usage

  `Double_Type[] cdf_flat_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_flat_Q

Synopsis

  S-Lang version of gsl_cdf_flat_Q

Usage

  `Double_Type[] cdf_flat_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_flat_Qinv

Synopsis

  S-Lang version of gsl_cdf_flat_Qinv

Usage

  `Double_Type[] cdf_flat_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gamma_P

Synopsis

  S-Lang version of gsl_cdf_gamma_P

Usage

  `Double_Type[] cdf_gamma_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gamma_Pinv

Synopsis

  S-Lang version of gsl_cdf_gamma_Pinv

Usage

  `Double_Type[] cdf_gamma_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gamma_Q

Synopsis

  S-Lang version of gsl_cdf_gamma_Q

Usage

  `Double_Type[] cdf_gamma_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gamma_Qinv

Synopsis

  S-Lang version of gsl_cdf_gamma_Qinv

Usage

  `Double_Type[] cdf_gamma_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gaussian_P

Synopsis

  S-Lang version of gsl_cdf_gaussian_P

Usage

  `Double_Type[] cdf_gaussian_P (Double_Type[] x, Double_Type[] sigma)`

### cdf_gaussian_Pinv

Synopsis

  S-Lang version of gsl_cdf_gaussian_Pinv

Usage

  `Double_Type[] cdf_gaussian_Pinv (Double_Type[] P, Double_Type[] sigma)`

### cdf_gaussian_Q

Synopsis

  S-Lang version of gsl_cdf_gaussian_Q

Usage

  `Double_Type[] cdf_gaussian_Q (Double_Type[] x, Double_Type[] sigma)`

### cdf_gaussian_Qinv

Synopsis

  S-Lang version of gsl_cdf_gaussian_Qinv

Usage

  `Double_Type[] cdf_gaussian_Qinv (Double_Type[] Q, Double_Type[] sigma)`

### cdf_gumbel1_P

Synopsis

  S-Lang version of gsl_cdf_gumbel1_P

Usage

  `Double_Type[] cdf_gumbel1_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel1_Pinv

Synopsis

  S-Lang version of gsl_cdf_gumbel1_Pinv

Usage

  `Double_Type[] cdf_gumbel1_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel1_Q

Synopsis

  S-Lang version of gsl_cdf_gumbel1_Q

Usage

  `Double_Type[] cdf_gumbel1_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel1_Qinv

Synopsis

  S-Lang version of gsl_cdf_gumbel1_Qinv

Usage

  `Double_Type[] cdf_gumbel1_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel2_P

Synopsis

  S-Lang version of gsl_cdf_gumbel2_P

Usage

  `Double_Type[] cdf_gumbel2_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel2_Pinv

Synopsis

  S-Lang version of gsl_cdf_gumbel2_Pinv

Usage

  `Double_Type[] cdf_gumbel2_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel2_Q

Synopsis

  S-Lang version of gsl_cdf_gumbel2_Q

Usage

  `Double_Type[] cdf_gumbel2_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_gumbel2_Qinv

Synopsis

  S-Lang version of gsl_cdf_gumbel2_Qinv

Usage

  `Double_Type[] cdf_gumbel2_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_laplace_P

Synopsis

  S-Lang version of gsl_cdf_laplace_P

Usage

  `Double_Type[] cdf_laplace_P (Double_Type[] x, Double_Type[] a)`

### cdf_laplace_Pinv

Synopsis

  S-Lang version of gsl_cdf_laplace_Pinv

Usage

  `Double_Type[] cdf_laplace_Pinv (Double_Type[] P, Double_Type[] a)`

### cdf_laplace_Q

Synopsis

  S-Lang version of gsl_cdf_laplace_Q

Usage

  `Double_Type[] cdf_laplace_Q (Double_Type[] x, Double_Type[] a)`

### cdf_laplace_Qinv

Synopsis

  S-Lang version of gsl_cdf_laplace_Qinv

Usage

  `Double_Type[] cdf_laplace_Qinv (Double_Type[] Q, Double_Type[] a)`

### cdf_logistic_P

Synopsis

  S-Lang version of gsl_cdf_logistic_P

Usage

  `Double_Type[] cdf_logistic_P (Double_Type[] x, Double_Type[] a)`

### cdf_logistic_Pinv

Synopsis

  S-Lang version of gsl_cdf_logistic_Pinv

Usage

  `Double_Type[] cdf_logistic_Pinv (Double_Type[] P, Double_Type[] a)`

### cdf_logistic_Q

Synopsis

  S-Lang version of gsl_cdf_logistic_Q

Usage

  `Double_Type[] cdf_logistic_Q (Double_Type[] x, Double_Type[] a)`

### cdf_logistic_Qinv

Synopsis

  S-Lang version of gsl_cdf_logistic_Qinv

Usage

  `Double_Type[] cdf_logistic_Qinv (Double_Type[] Q, Double_Type[] a)`

### cdf_lognormal_P

Synopsis

  S-Lang version of gsl_cdf_lognormal_P

Usage

  `Double_Type[] cdf_lognormal_P (x, zeta, sigma)`

  > `

  >       Double_Type[] x
  >       Double_Type[] zeta
  >       Double_Type[] sigma

  > `

### cdf_lognormal_Pinv

Synopsis

  S-Lang version of gsl_cdf_lognormal_Pinv

Usage

  `Double_Type[] cdf_lognormal_Pinv (P, zeta, sigma)`

  > `

  >       Double_Type[] P
  >       Double_Type[] zeta
  >       Double_Type[] sigma

  > `

### cdf_lognormal_Q

Synopsis

  S-Lang version of gsl_cdf_lognormal_Q

Usage

  `Double_Type[] cdf_lognormal_Q (x, zeta, sigma)`

  > `

  >       Double_Type[] x
  >       Double_Type[] zeta
  >       Double_Type[] sigma

  > `

### cdf_lognormal_Qinv

Synopsis

  S-Lang version of gsl_cdf_lognormal_Qinv

Usage

  `Double_Type[] cdf_lognormal_Qinv (Q, zeta, sigma)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] zeta
  >       Double_Type[] sigma

  > `

### cdf_pareto_P

Synopsis

  S-Lang version of gsl_cdf_pareto_P

Usage

  `Double_Type[] cdf_pareto_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_pareto_Pinv

Synopsis

  S-Lang version of gsl_cdf_pareto_Pinv

Usage

  `Double_Type[] cdf_pareto_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_pareto_Q

Synopsis

  S-Lang version of gsl_cdf_pareto_Q

Usage

  `Double_Type[] cdf_pareto_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_pareto_Qinv

Synopsis

  S-Lang version of gsl_cdf_pareto_Qinv

Usage

  `Double_Type[] cdf_pareto_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_rayleigh_P

Synopsis

  S-Lang version of gsl_cdf_rayleigh_P

Usage

  `Double_Type[] cdf_rayleigh_P (Double_Type[] x, Double_Type[] sigma)`

### cdf_rayleigh_Pinv

Synopsis

  S-Lang version of gsl_cdf_rayleigh_Pinv

Usage

  `Double_Type[] cdf_rayleigh_Pinv (Double_Type[] P, Double_Type[] sigma)`

### cdf_rayleigh_Q

Synopsis

  S-Lang version of gsl_cdf_rayleigh_Q

Usage

  `Double_Type[] cdf_rayleigh_Q (Double_Type[] x, Double_Type[] sigma)`

### cdf_rayleigh_Qinv

Synopsis

  S-Lang version of gsl_cdf_rayleigh_Qinv

Usage

  `Double_Type[] cdf_rayleigh_Qinv (Double_Type[] Q, Double_Type[] sigma)`

### cdf_tdist_P

Synopsis

  S-Lang version of gsl_cdf_tdist_P

Usage

  `Double_Type[] cdf_tdist_P (Double_Type[] x, Double_Type[] nu)`

### cdf_tdist_Pinv

Synopsis

  S-Lang version of gsl_cdf_tdist_Pinv

Usage

  `Double_Type[] cdf_tdist_Pinv (Double_Type[] P, Double_Type[] nu)`

### cdf_tdist_Q

Synopsis

  S-Lang version of gsl_cdf_tdist_Q

Usage

  `Double_Type[] cdf_tdist_Q (Double_Type[] x, Double_Type[] nu)`

### cdf_tdist_Qinv

Synopsis

  S-Lang version of gsl_cdf_tdist_Qinv

Usage

  `Double_Type[] cdf_tdist_Qinv (Double_Type[] Q, Double_Type[] nu)`

### cdf_ugaussian_P

Synopsis

  S-Lang version of gsl_cdf_ugaussian_P

Usage

  `Double_Type[] cdf_ugaussian_P (Double_Type[] x)`

### cdf_ugaussian_Pinv

Synopsis

  S-Lang version of gsl_cdf_ugaussian_Pinv

Usage

  `Double_Type[] cdf_ugaussian_Pinv (Double_Type[] P)`

### cdf_ugaussian_Q

Synopsis

  S-Lang version of gsl_cdf_ugaussian_Q

Usage

  `Double_Type[] cdf_ugaussian_Q (Double_Type[] x)`

### cdf_ugaussian_Qinv

Synopsis

  S-Lang version of gsl_cdf_ugaussian_Qinv

Usage

  `Double_Type[] cdf_ugaussian_Qinv (Double_Type[] Q)`

### cdf_weibull_P

Synopsis

  S-Lang version of gsl_cdf_weibull_P

Usage

  `Double_Type[] cdf_weibull_P (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_weibull_Pinv

Synopsis

  S-Lang version of gsl_cdf_weibull_Pinv

Usage

  `Double_Type[] cdf_weibull_Pinv (P, a, b)`

  > `

  >       Double_Type[] P
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_weibull_Q

Synopsis

  S-Lang version of gsl_cdf_weibull_Q

Usage

  `Double_Type[] cdf_weibull_Q (x, a, b)`

  > `

  >       Double_Type[] x
  >       Double_Type[] a
  >       Double_Type[] b

  > `

### cdf_weibull_Qinv

Synopsis

  S-Lang version of gsl_cdf_weibull_Qinv

Usage

  `Double_Type[] cdf_weibull_Qinv (Q, a, b)`

  > `

  >       Double_Type[] Q
  >       Double_Type[] a
  >       Double_Type[] b

  > `

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