Probability Distribution Functions and Inverses

PROBABILITY DISTRIBUTION FUNCTIONS AND INVERSES

ROUTINE DESCRIPTION
BINDF Evaluates the binomial cumulative distribution function.
BINPR Evaluates the binomial probability density function.
GEODF Evaluates the discrete geometric cumulative distribution function.
GEOIN Evaluates the inverse of the geometric cumulative distribution function.
GEOPR Evaluates the discrete geometric probability density function.
HYPDF Evaluates the hypergeometric cumulative distribution function.
HYPPR Evaluates the hypergeometric probability density function.
POIDF Evaluates the Poisson cumulative distribution function.
POIPR Evaluates the Poisson probability density function.
UNDDF Evaluates the discrete uniform cumulative distribution function.
UNDIN Evaluates the inverse of the discrete uniform cumulative distribution function.
UNDPR Evaluates the discrete uniform probability density function.
 

CONTINUOUS RANDOM VARIABLES: DISTRIBUTION FUNCTIONS AND THEIR INVERSES

ROUTINE DESCRIPTION
AKS1DF Evaluates the cumulative distribution function of the one-sided Kolmogorov-Smirnov goodness of fit D+ or D test statistic based on continuous data for one sample.
AKS2DF Evaluates the cumulative distribution function of the one-sided Kolmogorov-Smirnov goodness of fit D test statistic based on continuous data for two samples.
ALNDF Evaluates the lognormal cumulative distribution function.
ALNIN Evaluates the inverse of the lognormal cumulative distribution function.
ALNPR Evaluates the lognormal probability density function.
ANORDF Evaluates the standard normal (Gaussian) cumulative distribution function.
ANORIN Evaluates the inverse of the standard normal (Gaussian) cumulative distribution function.
ANORPR Evaluates the normal probability density function.
BETDF Evaluates the normal probability density function.
BETIN Evaluates the inverse of the beta cumulative distribution function.
BETPR Evaluates the beta probability density function.
BETNDF Evaluates the noncentral beta cumulative distribution function (CDF).
BETNIN Evaluates the inverse of the noncentral beta cumulative distribution function (CDF).
BETNPR Evaluates the noncentral beta probability density function.
BNRDF Evaluates the bivariate normal cumulative distribution function.
CHIDF Evaluates the chi-squared cumulative distribution function.
CHIIN Evaluates the inverse of the chi-squared cumulative distribution function.
CHIPR Evaluates the chi-squared probability density function.
CSNDF Evaluates the noncentral chi-squared cumulative distribution function.
CSNIN Evaluates the inverse of the noncentral chi-squared cumulative distribution function.
CSNPR Evaluates the noncentral chi-squared probability density function.
EXPDF Evaluates the exponential cumulative distribution function.
EXPIN Evaluates the inverse of the exponential cumulative distribution function.
EXPPR Evaluates the exponential probability density function.
EXVDF Evaluates the extreme value cumulative distribution function.
EXVIN Evaluates the inverse of the extreme value cumulative distribution function.
EXVPR Evaluates the extreme value probability density function.
FDF Evaluates the F cumulative distribution function.
FIN Evaluates the inverse of the F cumulative distribution function.
FPR Evaluates the F probability density function.
FNDF Evaluates the noncentral F cumulative distribution function (CDF).
FNIN Evaluates the inverse of the noncentral F cumulative distribution function (CDF).
FNPR Evaluates the noncentral F probability density function.
GAMDF Evaluates the gamma cumulative distribution function.
GAMIN Evaluates the inverse of the gamma cumulative distribution function.
GAMPR Evaluates the gamma probability density function.
RALDF Evaluates the Rayleigh cumulative distribution function.
RALIN Evaluates the inverse of the Rayleigh cumulative distribution function.
RALPR Evaluates the Rayleigh probability density function.
TDF Evaluates the Student's t cumulative distribution function.
TIN Evaluates the inverse of the Student's t cumulative distribution function.
TPR Evaluates the Student's t probability density function.
TNDF Evaluates the noncentral Student's t cumulative distribution function.
TNIN Evaluates the inverse of the noncentral Student's t cumulative distribution function.
TNPR Evaluates the noncentral Student's t probability density function.
UNDF Evaluates the uniform cumulative distribution function.
UNIN Evaluates the inverse of the uniform cumulative distribution function.
UNPR Evaluates the uniform probability density function.
WBLDF Evaluates the Weibull cumulative distribution function.
WBLIN Evaluates the inverse of the Weibull cumulative distribution function.
WBLPR Evaluates the Weibull probability density function.
 

GENERAL CONTINUOUS RANDOM VARIABLES

ROUTINE DESCRIPTION
GCDF Evaluates a general continuous cumulative distribution function given ordinates of the density.
GCIN Evaluates the inverse of a general continuous cumulative distribution function given ordinates of the density.
GFNIN Evaluates the inverse of a general continuous cumulative distribution function given in a subprogram.
 

PARAMETER ESTIMATION

ROUTINE DESCRIPTION
MLE Calculates maximum likelihood estimates for the parameters of one of several univariate probability distributions.