Probability Distribution Functions and Inverses
Routines
11.1 Discrete Random Variables: Cumulative Distribution Functions and Probability Density Function
Binomial cumulative distribution function
BINDFBinomial probability density function
BINPRGeometric cumulative distribution function
GEODFInverse of Geometric cumulative distribution function
GEOINGeometric probability density function
GEOPRHypergeometric cumulative distribution function
HYPDFHypergeometric probability density function
HYPPRPoisson cumulative distribution function
POIDFPoisson probability density function
POIPRDiscrete uniform cumulative distribution function
UNDDFInverse of discrete uniform cumulative distribution function
UNDINDiscrete uniform probability density function
UNDPR11.2 Continuous Random Variables: Distribution Functions and Their Inverses
Kolmogorov-Smirnov one-sided statistic cumulative distribution function
AKS1DFKolmogorov-Smirnov two-sided statistic cumulative distribution function
AKS2DFLognormal cumulative distribution function
ALNDFInverse of the lognormal cumulative distribution function
ALNINLognormal probability density function
ALNPRNormal (Gaussian) cumulative distribution function
ANORDFInverse of the normal cumulative distribution function
ANORINNormal (Gaussian) probability density function
ANORPRBeta cumulative distribution function
BETDFInverse of the beta cumulative distribution function
BETINBeta probability density function
BETPRNoncentral beta cumulative distribution function
BETNDFInverse of the noncentral beta cumulative distribution function
BETNINNoncentral beta probability density function
BETNPRBivariate normal cumulative distribution function
BNRDFChi-squared cumulative distribution function
CHIDFInverse of the chi-squared cumulative distribution function
CHIINChi-squared probability density function
CHIPRNoncentral chi-squared cumulative distribution function
CSNDFInverse of the noncentral chi-squared cumulative distribution function
CSNINNoncentral chi-squared probability density function
CSNPRExponential distribution cumulative function
EXPDFInverse of the exponential cumulative distribution function
EXPINExponential probability density function
EXPPRExtreme value cumulative distribution function
EXVDFInverse of the Extreme value cumulative distribution function
EXVINExtreme value probability density function
EXVPRF cumulative distribution function
FDF Inverse of the
F cumulative distribution function
FINF probability density function
FPRNoncentral
F cumulative distribution function
FNDFInverse of the noncentral
F cumulative distribution function
FNINNoncentral
F probability density function
FNPRGamma cumulative distribution function
GAMDFInverse of the gamma cumulative distribution function
GAMINGamma probability density function
GAMPRRayleigh’s cumulative distribution function
RALDFInverse of the Rayleigh’s cumulative distribution function
RALINRayleigh’s probability density function
RALPRStudent’s
t cumulative distribution function
TDFInverse of the Student’s
t cumulative distribution function
TINStudent’s t probability density function
TPRNoncentral Student’s
t cumulative distribution function
TNDFInverse of the noncentral Student’s
t cumulative distribution function
TNINNoncentral Student's
t probability density function
TNPRUniform cumulative distribution function
UNDFInverse of the uniform cumulative distribution function
UNINUniform probability density function
UNPRWeibull cumulative distribution function
WBLDFInverse of the Weibull cumulative distribution function
WBLINWeibull probability density function
WBLPR11.3 General Continuous Random Variables
Distribution function given ordinates of density
GCDFInverse of distribution function given ordinates of density
GCINInverse of distribution function given subprogram
GFNINPublished date: 03/19/2020
Last modified date: 03/19/2020