@menu
* Introduction to distrib::
* Definitions for continuous distributions::
* Definitions for discrete distributions::
@end menu

@node Introduction to distrib, Definitions for continuous distributions, distrib, distrib
@section Introduction to distrib

@node Definitions for continuous distributions, Definitions for discrete distributions, Introduction to distrib, distrib
@section Definitions for continuous distributions

@deffn {Function} pdf_normal (@var{x},@var{m},@var{s})
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@end deffn

@deffn {Function} cdf_normal (@var{x},@var{m},@var{s})
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@end deffn

@deffn {Function} quantile_normal (@var{q},@var{m},@var{s})
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@end deffn

@deffn {Function} mean_normal (@var{m},@var{s})
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@end deffn

@deffn {Function} var_normal (@var{m},@var{s})
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@end deffn

@deffn {Function} std_normal (@var{m},@var{s})
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@end deffn

@deffn {Function} skewness_normal (@var{m},@var{s})
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@end deffn

@deffn {Function} kurtosis_normal (@var{m},@var{s})
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@end deffn

@defvr {Option variable} random_normal_algorithm
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@end defvr

@deffn {Function} random_normal (@var{m},@var{s})
@deffnx {Function} random_normal (@var{m},@var{s},@var{n})
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@end deffn

@deffn {Function} pdf_student_t (@var{x},@var{n})
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@end deffn

@deffn {Function} cdf_student_t (@var{x},@var{n})
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@end deffn

@deffn {Function} quantile_student_t (@var{q},@var{n})
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@end deffn

@deffn {Function} mean_student_t (@var{n})
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@end deffn

@deffn {Function} var_student_t (@var{n})
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@end deffn

@deffn {Function} std_student_t (@var{n})
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@end deffn

@deffn {Function} skewness_student_t (@var{n})
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@end deffn

@deffn {Function} kurtosis_student_t (@var{n})
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@end deffn

@defvr {Option variable} random_student_t_algorithm
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@end defvr

@deffn {Function} random_student_t (@var{n})
@deffnx {Function} random_student_t (@var{n},@var{m})
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@end deffn

@deffn {Function} pdf_chi2 (@var{x},@var{n})
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@end deffn

@deffn {Function} cdf_chi2 (@var{x},@var{n})
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@end deffn

@deffn {Function} quantile_chi2 (@var{q},@var{n})
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@end deffn

@deffn {Function} mean_chi2 (@var{n})
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@end deffn

@deffn {Function} var_chi2 (@var{n})
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@end deffn

@deffn {Function} std_chi2 (@var{n})
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@end deffn

@deffn {Function} skewness_chi2 (@var{n})
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@end deffn

@deffn {Function} kurtosis_chi2 (@var{n})
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@end deffn

@defvr {Option variable} random_chi2_algorithm
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@end defvr

@deffn {Function} random_chi2 (@var{n})
@deffnx {Function} random_chi2 (@var{n},@var{m})
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@end deffn

@deffn {Function} pdf_f (@var{x},@var{m},@var{n})
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@end deffn

@deffn {Function} cdf_f (@var{x},@var{m},@var{n})
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@end deffn

@deffn {Function} quantile_f (@var{q},@var{m},@var{n})
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@end deffn

@deffn {Function} mean_f (@var{m},@var{n})
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@end deffn

@deffn {Function} var_f (@var{m},@var{n})
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@end deffn

@deffn {Function} std_f (@var{m},@var{n})
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@end deffn

@deffn {Function} skewness_f (@var{m},@var{n})
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@end deffn

@deffn {Function} kurtosis_f (@var{m},@var{n})
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@end deffn

@defvr {Option variable} random_f_algorithm
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@end defvr

@deffn {Function} random_f (@var{m},@var{n})
@deffnx {Function} random_f (@var{m},@var{n},@var{k})
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@end deffn

@deffn {Function} pdf_exp (@var{x},@var{m})
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@end deffn

@deffn {Function} cdf_exp (@var{x},@var{m})
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@end deffn

@deffn {Function} quantile_exp (@var{q},@var{m})
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@end deffn

@deffn {Function} mean_exp (@var{m})
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@end deffn

@deffn {Function} var_exp (@var{m})
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@end deffn

@deffn {Function} std_exp (@var{m})
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@end deffn

@deffn {Function} skewness_exp (@var{m})
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@end deffn

@deffn {Function} kurtosis_exp (@var{m})
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@end deffn

@defvr {Option variable} random_exp_algorithm
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@end defvr

@deffn {Function} random_exp (@var{m})
@deffnx {Function} random_exp (@var{m},@var{k})
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@end deffn

@deffn {Function} pdf_lognormal (@var{x},@var{m},@var{s})
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@end deffn

@deffn {Function} cdf_lognormal (@var{x},@var{m},@var{s})
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@end deffn

@deffn {Function} quantile_lognormal (@var{q},@var{m},@var{s})
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@end deffn

@deffn {Function} mean_lognormal (@var{m},@var{s})
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@end deffn

@deffn {Function} var_lognormal (@var{m},@var{s})
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@end deffn

@deffn {Function} std_lognormal (@var{m},@var{s})
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@end deffn

@deffn {Function} skewness_lognormal (@var{m},@var{s})
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@end deffn

@deffn {Function} kurtosis_lognormal (@var{m},@var{s})
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@end deffn

@deffn {Function} random_lognormal (@var{m},@var{s})
@deffnx {Function} random_lognormal (@var{m},@var{s},@var{n})
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@end deffn

@deffn {Function} pdf_gamma (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_gamma (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_gamma (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_gamma (@var{a},@var{b})
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@end deffn

@deffn {Function} var_gamma (@var{a},@var{b})
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@end deffn

@deffn {Function} std_gamma (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_gamma (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_gamma (@var{a},@var{b})
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@end deffn

@defvr {Option variable} random_gamma_algorithm
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@end defvr

@deffn {Function} random_gamma (@var{a},@var{b})
@deffnx {Function} random_gamma (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_beta (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_beta (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_beta (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_beta (@var{a},@var{b})
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@end deffn

@deffn {Function} var_beta (@var{a},@var{b})
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@end deffn

@deffn {Function} std_beta (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_beta (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_beta (@var{a},@var{b})
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@end deffn

@defvr {Option variable} random_beta_algorithm
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@end defvr

@deffn {Function} random_beta (@var{a},@var{b})
@deffnx {Function} random_beta (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_continuous_uniform (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_continuous_uniform (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_continuous_uniform (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_continuous_uniform (@var{a},@var{b})
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@end deffn

@deffn {Function} var_continuous_uniform (@var{a},@var{b})
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@end deffn

@deffn {Function} std_continuous_uniform (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_continuous_uniform (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_continuous_uniform (@var{a},@var{b})
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@end deffn

@deffn {Function} random_continuous_uniform (@var{a},@var{b})
@deffnx {Function} random_continuous_uniform (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_logistic (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_logistic (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_logistic (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} meanlog (@var{a},@var{b})
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@end deffn

@deffn {Function} var_logistic (@var{a},@var{b})
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@end deffn

@deffn {Function} std_logistic (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_logistic (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_logistic (@var{a},@var{b})
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@end deffn

@deffn {Function} random_logistic (@var{a},@var{b})
@deffnx {Function} random_logistic (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_pareto (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_pareto (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_pareto (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_pareto (@var{a},@var{b})
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@end deffn

@deffn {Function} var_pareto (@var{a},@var{b})
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@end deffn

@deffn {Function} std_pareto (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_pareto (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_pareto (@var{a},@var{b})
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@end deffn

@deffn {Function} random_pareto (@var{a},@var{b})
@deffnx {Function} random_pareto (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_weibull (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_weibull (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_weibull (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_weibull (@var{a},@var{b})
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@end deffn

@deffn {Function} var_weibull (@var{a},@var{b})
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@end deffn

@deffn {Function} std_weibull (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_weibull (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_weibull (@var{a},@var{b})
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@end deffn

@deffn {Function} random_weibull (@var{a},@var{b})
@deffnx {Function} random_weibull (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_rayleigh (@var{x},@var{b})
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@end deffn

@deffn {Function} cdf_rayleigh (@var{x},@var{b})
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@end deffn

@deffn {Function} quantile_rayleigh (@var{q},@var{b})
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@end deffn

@deffn {Function} mean_rayleigh (@var{b})
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@end deffn

@deffn {Function} var_rayleigh (@var{b})
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@end deffn

@deffn {Function} std_rayleigh (@var{b})
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@end deffn

@deffn {Function} skewness_rayleigh (@var{b})
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@end deffn

@deffn {Function} kurtosis_rayleigh (@var{b})
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@end deffn

@deffn {Function} random_rayleigh (@var{b})
@deffnx {Function} random_rayleigh (@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_laplace (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_laplace (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_laplace (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_laplace (@var{a},@var{b})
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@end deffn

@deffn {Function} var_laplace (@var{a},@var{b})
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@end deffn

@deffn {Function} std_laplace (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_laplace (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_laplace (@var{a},@var{b})
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@end deffn

@deffn {Function} random_laplace (@var{a},@var{b})
@deffnx {Function} random_laplace (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_cauchy (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_cauchy (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_cauchy (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} random_cauchy (@var{a},@var{b})
@deffnx {Function} random_cauchy (@var{a},@var{b},@var{n})
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@end deffn

@deffn {Function} pdf_gumbel (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} cdf_gumbel (@var{x},@var{a},@var{b})
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@end deffn

@deffn {Function} quantile_gumbel (@var{q},@var{a},@var{b})
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@end deffn

@deffn {Function} mean_gumbel (@var{a},@var{b})
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@end deffn

@deffn {Function} var_gumbel (@var{a},@var{b})
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@end deffn

@deffn {Function} std_gumbel (@var{a},@var{b})
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@end deffn

@deffn {Function} skewness_gumbel (@var{a},@var{b})
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@end deffn

@deffn {Function} kurtosis_gumbel (@var{a},@var{b})
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@end deffn

@deffn {Function} random_gumbel (@var{a},@var{b})
@deffnx {Function} random_gumbel (@var{a},@var{b},@var{n})
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@end deffn

@node Definitions for discrete distributions,  , Definitions for continuous distributions, distrib
@section Definitions for discrete distributions

@deffn {Function} pdf_binomial (@var{x},@var{n},@var{p})
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@end deffn

@deffn {Function} cdf_binomial (@var{x},@var{n},@var{p})
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@end deffn

@deffn {Function} quantile_binomial (@var{q},@var{n},@var{p})
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@end deffn

@deffn {Function} mean_binomial (@var{n},@var{p})
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@end deffn

@deffn {Function} var_binomial (@var{n},@var{p})
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@end deffn

@deffn {Function} std_binomial (@var{n},@var{p})
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@end deffn

@deffn {Function} skewness_binomial (@var{n},@var{p})
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@end deffn

@deffn {Function} kurtosis_binomial (@var{n},@var{p})
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@end deffn

@defvr {Option variable} random_binomial_algorithm
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@end defvr

@deffn {Function} random_binomial (@var{n},@var{p})
@deffnx {Function} random_binomial (@var{n},@var{p},@var{m})
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@end deffn

@deffn {Function} pdf_poisson (@var{x},@var{m})
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@end deffn

@deffn {Function} cdf_poisson (@var{x},@var{m})
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@end deffn

@deffn {Function} quantile_poisson (@var{q},@var{m})
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@end deffn

@deffn {Function} mean_poisson (@var{m})
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@end deffn

@deffn {Function} var_poisson (@var{m})
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@end deffn

@deffn {Function} std_poisson (@var{m})
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@end deffn

@deffn {Function} skewness_poisson (@var{m})
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@end deffn

@deffn {Function} kurtosis_poisson (@var{m})
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@end deffn

@defvr {Option variable} random_poisson_algorithm
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@end defvr

@deffn {Function} random_poisson (@var{m})
@deffnx {Function} random_poisson (@var{m},@var{n})
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@end deffn

@deffn {Function} pdf_bernoulli (@var{x},@var{p})
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@end deffn

@deffn {Function} cdf_bernoulli (@var{x},@var{p})
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@end deffn

@deffn {Function} quantile_bernoulli (@var{q},@var{p})
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@end deffn

@deffn {Function} mean_bernoulli (@var{p})
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@end deffn

@deffn {Function} var_bernoulli (@var{p})
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@end deffn

@deffn {Function} std_bernoulli (@var{p})
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@end deffn

@deffn {Function} skewness_bernoulli (@var{p})
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@end deffn

@deffn {Function} kurtosis_bernoulli (@var{p})
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@end deffn

@deffn {Function} random_bernoulli (@var{p})
@deffnx {Function} random_bernoulli (@var{p},@var{n})
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@end deffn

@deffn {Function} pdf_geometric (@var{x},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} cdf_geometric (@var{x},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} quantile_geometric (@var{q},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} mean_geometric (@var{p})
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@end deffn

@deffn {Function} var_geometric (@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} std_geometric (@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} skewness_geometric (@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} kurtosis_geometric (@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@defvr {Option variable} random_geometric_algorithm
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@end defvr

@deffn {Function} random_geometric (@var{p})
@deffnx {Function} random_geometric (@var{p},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} pdf_discrete_uniform (@var{x},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} cdf_discrete_uniform (@var{x},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} quantile_discrete_uniform (@var{q},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} mean_discrete_uniform (@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} var_discrete_uniform (@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} std_discrete_uniform (@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} skewness_discrete_uniform (@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} kurtosis_discrete_uniform (@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} random_discrete_uniform (@var{n})
@deffnx {Function} random_discrete_uniform (@var{n},@var{m})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} pdf_hypergeometric (@var{x},@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} cdf_hypergeometric (@var{x},@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} quantile_hypergeometric (@var{q},@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} mean_hypergeometric (@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} var_hypergeometric (@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} std_hypergeometric (@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} skewness_hypergeometric (@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} kurtosis_hypergeometric (@var{n1},@var{n2},@var{n})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@defvr {Option variable} random_hypergeometric_algorithm
THIS ITEM NEEDS TO BE TRANSLATED.
@end defvr

@deffn {Function} random_hypergeometric (@var{n1},@var{n2},@var{n})
@deffnx {Function} random_hypergeometric (@var{n1},@var{n2},@var{n},@var{m})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} pdf_negative_binomial (@var{x},@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} cdf_negative_binomial (@var{x},@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} quantile_negative_binomial (@var{q},@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} mean_negative_binomial (@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} var_negative_binomial (@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} std_negative_binomial (@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} skewness_negative_binomial (@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@deffn {Function} kurtosis_negative_binomial (@var{n},@var{p})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

@defvr {Option variable} random_negative_binomial_algorithm
THIS ITEM NEEDS TO BE TRANSLATED.
@end defvr

@deffn {Function} random_negative_binomial (@var{n},@var{p})
@deffnx {Function} random_negative_binomial (@var{n},@var{p},@var{m})
THIS ITEM NEEDS TO BE TRANSLATED.
@end deffn

