# 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. |