Probability Distribution Functions

Routines

Discrete Random Variables: Cumulative Distribution Functions and Probability Density Functions

Binomial cumulative distribution function BINDF

Binomial probability density function BINPR

Geometric cumulative distribution function GEODF

Inverse of the Geometric cumulative distribution function GEOIN

Geometric probability density function GEOPR

Hypergeometric cumulative distribution function HYPDF

Hypergeometric probability density function HYPPR

Poisson cumulative distribution function POIDF

Poisson probability density function POIPR

Discrete uniform cumulative distribution function UNDDF

Inverse of the discrete uniform cumulative distribution function UNDIN

Discrete uniform probablility density function UNDPR

Continuous Random Variables: Distribution Functions and Their Inverses

Kolmogorov-Smirnov one-sided statistic cumulative

distribution function AKS1DF

Kolmogorov-Smirnov two-sided statistic cumulative

distribution function AKS2DF

Lognormal cumulative distribution function ALNDF

Inverse of the lognormal cumulative distribution function ALNIN

Lognormal probability density function ALNPR

Normal (Gaussian) cumulative distribution function ANORDF

Inverse of the normal cumulative distribution function ANORIN

Normal (Gaussian) probability density function ANORPR

Beta cumulative distribution function BETDF

Inverse of the beta cumulative distribution function BETIN

Beta probability density function BETPR

Noncentral beta cumulative distribution function BETNDF

Inverse of the noncentral beta cumulative distribution function BETNIN

Noncentral beta probability density function BETNPR

Bivariate normal cumulative distribution function BNRDF

Chi-squared cumulative distribution function CHIDF

Inverse of the chi-squared cumulative distribution function CHIIN

Chi-squared probability density function CHIPR

Noncentral chi-squared cumulative distribution function CSNDF

Inverse of the noncentral chi-squaredcumulative distribution function CSNIN

Noncentral chi-squared probability density function CSNPR

Exponential cumulative distribution function EXPDF

Inverse of the exponential cumulative distribution function EXPIN

Exponential probability density function EXPPR

Extreme value cumulative distribution function EXVDF

Inverse of the Extreme value cumulative distribution function EXVIN

Extreme value probability density function EXVPR

F cumulative distribution function FDF

Inverse of the F cumulative distribution function FIN

F probability density function FPR

Noncentral F cumulative distribution function FNDF

Inverse of the noncentral F cumulative distribution function FNIN

Noncentral F probability density function FNPR

Gamma cumulative distribution function GAMDF

Inverse of the gamma cumulative distribution function GAMIN

Gamma probability density function GAMPR

Rayleigh’s cumulative distribution function RALDF

Inverse of Rayleigh’s cumulative distribution function RALIN

Raleigh probability density function RALPR

Student’s t cumulative distribution function TDF

Inverse of the Student’s t cumulative distribution function TIN

Student’s t probability density function TPR

Noncentral Student’s t cumulative distribution function TNDF

Inverse of the noncentral Student’s t cumulative distribution function TNIN

Noncentral Student's t probability density function TNPR

Uniform cumulative distribution function UNDF

Inverse of the uniform cumulative distribution function UNIN

Uniform probability density function UNPR

Weibull cumulative distribution function WBLDF

Inverse of the Weibull cumulative distribution function WBLIN

Weibull probability density function WBLPR

General Continuous Random Variables

Distribution function given ordinates of density GCDF

Inverse of distribution function given ordinates of density GCIN

Inverse of distribution function given subprogram GFNIN

Parameter Estimation

Maximum likelihood estimation for univariate probability distributions MLE