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Probability Functions

Dataplot Functions


Dataplot contains an extensive number of built-in probability functions.

Alpha Distribution
ALPCDF(X,A,B) cumulative distribution function
ALPPDF(X,A,B) probability density function
ALPPPF(P,A,B) percent point function

Anglit Distribution
ANGCDF(X) cumulative distribution function
ANGPDF(X) probability density function
ANGPPF(P) percent point function

Arcsin Distribution
ARSCDF(X) cumulative distribution function
ARSPDF(X) probability density function
ARSPPF(P) percent point function

Beta-Binomial Distribution
BBNCDF(X,A,B,N) cumulative distribution function
BBNPDF(X,A,B,N) probability density function
BBNPPF(X,A,B,N) percent point function

Beta Distribution
BETCDF(X,A,B) cumulative distribution function
BETPDF(X,A,B) probability density function
BETPPF(P,A,B) percent point function

Bradford Distribution
BRACDF(X,B) cumulative distribution function
BRAPDF(X,B) probability density function
BRAPPF(X,B) percent point function

Bivariate Normal Distribution
BVNCDF(X1,X2,P) normal cumulative distribution function
BVNPDF(X1,X2,P) normal probability density function

Binomial Distribution
BINCDF(X,P,N) cumulative distribution function
BINPDF(X,P,N) probability density function
BINPPF(X,P,N) percent point function

Cauchy Distribution
CAUCDF(X) cumulative distribution function
CAUPDF(X) probability density function
CAUPPF(P) percent point function
CAUSF(P) sparsity function

Chi Distribution
CHCDF(X,NU) cumulative distribution function
CHPDF(X,NU) probability density function
CHPPF(P,NU) percent point function

Chi-Square Distribution
CHSCDF(X,NU) cumulative distribution function
CHSPDF(X,NU) probability density function
CHSPPF(P,NU) percent point function

Cosine Distribution
COSCDF(X) cumulative distribution function
COSPDF(X) probability density function
COSPPF(P) percent point function

Double Exponential Distribution
DEXCDF(X) cumulative distribution function
DEXPDF(X) probability density function
DEXPPF(P) percent point function
DEXSF(P) sparsity function

Double Gamma Distribution
DGACDF(X,GAMMA) cumulative distribution function
DGAPDF(X,GAMMA) probability density function
DGAPPF(P,GAMMA) percent point function

Discrete Uniform Distribution
DISCDF(X,N) cumulative distribution function
DISPDF(X,N) probability density function
DISPPF(P,N) percent point function

Logarithmic Series Distribution
DLGCDF(X,C) cumulative distribution function
DLGPDF(X,C) probability density function
DLGPPF(P,C) percent point function

Doubly Non-Central F Distribution
DNFCDF(X,N1,N2,A,B) cumulative distribution function
DNFPPF(P,N1,N2,A,B) percent point function

Doubly Non-Central T Distribution
DNTCDF(X,N1,A,B) cumulative distribution function
DNTPPF(P,N1,A,B) percent point function

Double Weibull Distribution
DWECDF(X,GAMMA) cumulative distribution function
DWEPDF(X,GAMMA) probability density function
DWEPPF(X,GAMMA) percent point function

Gumbel (Extreme Value Type I) Distribution
EV1CDF(X) cumulative distribution function
EV1PDF(X) probability density function
EV1PPF(P) percent point function

Frechet (Extreme Value Type II) Distribution
EV2CDF(X) cumulative distribution function
EV2PDF(X) probability density function
EV2PPF(P) percent point function

Exponentiated Weibull Distribution
EWECDF(X,GAMMA,T) cumulative distribution function
EWEPDF(X,GAMMA,T) probability density function
EWEPPF(X,GAMMA,T) percent point function

Exponential Distribution
EXPCDF(X) cumulative distribution function
EXPPDF(X) probability density function
EXPPPF(P) percent point function
EXPSF(P) sparsity function

F Distribution
FCDF(X,NU1,NU2) cumulative distribution function
FPDF(X,NU1,NU2) probability density function
FPPF(P,NU1,NU2) percent point function

Folded Cauchy Distribution
FCACDF(X,U,SD) cumulative distribution function
FCAPDF(X,U,SD) probability density function
FCAPPF(P,U,SD) percent point function

Fatigue Life Distribution
FLCDF(X,GAMMA) cumulative distribution function
FLPDF(X,GAMMA) probability density function
FLPPF(P,GA) percent point function

Folded Normal Distribution
FNRCDF(X,U,SD) cumulative distribution function
FNRPDF(X,U,SD) probability density function
FNRPPF(X,U,SD) percent point function

Gamma Distribution
GAMCDF(X,GAMMA) cumulative distribution function
GAMPDF(X,GAMMA) probability density function
GAMPPF(P,GAMMA) percent point function

Geometric Distribution
GEOCDF(X,P) cumulative distribution function
GEOPDF(X,P) probability density function
GEOPPF(P,P) percent point function

Generalized Pareto Distribution
GEPCDF(X,GAMMA) cumulative distribution function
GEPPDF(X,GAMMA) probability density function
GEPPPF(P,GAMMA) percent point function

Generalized Extreme Value Distribution
GEVCDF(X,GAMMA) cumulative distribution function
GEVPDF(X,GAMMA) probability density function
GEVPPF(P,GAMMA) percent point function

Generalized Exponential Distribution
GEXCDF(X,L1,L2,S) cumulative distribution function
GEXPDF(X,L1,L2,S) probability density function
GEXPPF(P,L1,L2,S) percent point function

Generalized Gamma Distribution
GGDCDF(X,ALPHA,C) cumulative distribution function
GGDPDF(X,ALPHA,C) probability density function
GGDPPF(P,ALPHA,C) percent point function

Generalized Logistic Distribution
GLOCDF(X,ALPHA) cumulative distribution function
GLOPDF(X,ALPHA) probability density function
GLOPPF(P,ALPHA) percent point function

Gompertz Distribution
GOMCDF(X,C,B) cumulative distribution function
GOMPDF(X,C,B) probability density function
GOMPPF(P,C,B) percent point function

Half-Normal Distribution
HFNCDF(X) cumulative distribution function
HFNPDF(X) probability density function
HFNPPF(P) percent point function

Half-Cauchy Distribution
HFCCDF(X) cumulative distribution function
HFCPDF(X) probability density function
HFCPPF(P) percent point function

Half-Logistic and Generalized Half-Logistic Distribution
HFLCDF(X,GAMMA) cumulative distribution function
HFLPDF(X,GAMMA) probability density function
HFLPPF(P,GAMMA) percent point function

Hypergeometric Distribution
HYPCDF(L,K,N,M) cumulative distribution function
HYPPDF(L,K,N,M) probability density function
HYPPPF(P,K,N,M) percent point function

Hyperbolic Secant Distribution
HSECDF(X) cumulative distribution function
HSEPDF(X) probability density function
HSEPPF(X) percent point function

Mielke's Betta-Kappa Distribution
KAPCDF(X,K,BETA,THETA) cumulative distribution function
KAPPDF(X,K,BETA,THETA) probability density function
KAPPPF(P,K,BETA,THETA) percent point function

Inverse Gaussian Distribution
IGCDF(X,GAMMA) cumulative distribution function
IGPDF(X,GAMMA) probability density function
IGPPF(P,GAMMA) percent point function

Log Gamma Distribution
LGACDF(X,GAMMA) cumulative distribution function
LGAPDF(X,GAMMA) probability density function
LGAPPF(X,GAMMA) percent point function

Lognormal Distribution
LGNCDF(X,S) cumulative distribution function
LGNPDF(X,S) probability density function
LGNPPF(P,S) percent point function

Log-Logistic Distribution
LLGCDF(X,DELTA) cumulative distribution function
LLGPDF(X,DELTA) probability density function
LLGPDF(P,DELTA) percent point function

Logistic Distribution
LOGCDF(X) cumulative distribution function
LOGPDF(X) probability density function
LOGPPF(P) percent point function

Negative Binomial Distribution
NBCDF(X,P,N) cumulative distribution function
NBPDF(X,P,N) probability density function
NBPPF(X,P,N) percent point function

Non-Central Beta Distribution
NCBCDF(X,A,B,LAM) cumulative distribution function
NCBPPF(P,A,B,LAM) percent point function

Non-Central Chi-Square Distribution
NCCCDF(X,N1,ALPHA) cumulative distribution function
NCCNCP(X,N1,ALPHA) non-centrality parameter function
NCCPPF(P,N1,ALPHA) percent point function

Non-Central F Distribution
NCFCDF(X,N1,N2,A,B) cumulative distribution function
NCFPPF(P,N1,N2,A,B) percent point function

Non-Central T Distribution
NCTCDF(X,N1,ALPHA) cumulative distribution function
NCTPDF(X,N1,ALPHA) probability density function
NCTPPF(P,N1,ALPHA) percent point function

Normal Distribution
NORCDF(X) cumulative distribution function
NORPDF(X) probability density function
NORPPF(P) percent point function
NORSF(P) sparsity function

Pareto Distribution
PARCDF(X,GAMMA) cumulative distribution function
PARPDF(X,GAMMA) probability density function
PARPPF(P,GAMMA) percent point function

Pareto Distribution of Second Kind
PA2CDF(X,GAMMA) cumulative distribution function
PA2PDF(X,GAMMA) probability density function
PA2PPF(P,GAMMA) percent point function

Exponential Power Distribution
PEXCDF(X,ALPHA,BETA) cumulative distribution function
PEXPDF(X,ALPHA,BETA) probability density function
PEXPPF(X,ALPHA,BETA) percent point function

Power Lognormal Distribution
PLNCDF(X,P,SD) cumulative distribution function
PLNPDF(X,P,SD) probability density function
PLNPPF(P,P,SD) percent point function

Power Normal Distribution
PNRCDF(X,P,SD) cumulative distribution function
PNRPDF(X,P,SD) probability density function
PNRPPF(P,P,SD) percent point function

Poisson Distribution
POICDF(X,P,N) cumulative distribution function
POIPDF(X,P,N) probability density function
POIPPF(P,P,N) percent point function

Power Function Distribution
POWCDF(X,C) cumulative distribution function
POWPDF(X,C) probability density function
POWPPF(P,C) percent point function

Reciprocal Distribution
RECCDF(X,B) cumulative distribution function
RECPDF(X,B) probability density function
RECPPF(P,B) percent point function

Reciprocal Inverse Gaussian Distribution
RIGCDF(X,GAMMA) cumulative distribution function
RIGPDF(X,GAMMA) probability density function
RIGPPF(P,GAMMA) percent point function

Semi-Circular Distribution
SEMCDF(X) cumulative distribution function
SEMPDF(X) probability density function
SEMPDF(P) percent point function

T Distribution
TCDF(X,NU) cumulative distribution function
TPDF(X,NU) probability density function
TPPF(P,NU) percent point function

Truncated Exponential Distribution
TNECDF(X,X0,U,SD) cumulative distribution function
TNEPDF(X,X0,U,SD) probability density function
TNEPPF(P,X0,U,SD) percent point function

Truncated Normal Distribution
TNRCDF(X,A,B,U,SD) cumulative distribution function
TNRPDF(X,A,B,U,SD) probability density function
TNRPPF(P,A,B,U,SD) percent point function

Triangular Distribution
TRICDF(X,C) cumulative distribution function
TRIPDF(X,C) probability density function
TRIPPF(P,C) percent point function

Tukey-Lambda Distribution
LAMCDF(X,LAMBDA) cumulative distribution function
LAMPDF(X,LAMBDA) probability density function
LAMPPF(P,LAMBDA) percent point function
LAMSF(P,LAMBDA) sparsity function

Uniform Distribution
UNICDF(X) cumulative distribution function
UNIPDF(X) probability density function
UNIPPF(P) percent point function

Von Mises Distribution
VONCDF(X,B) cumulative distribution function
VONPDF(X,B) probability density function
VONPPF(P,B) percent point function

Wald Distribution
WALCDF(X,GAMMA) cumulative distribution function
WALPDF(X,GAMMA) probability density function
WALPPF(P,GAMMA) percent point function

Waring (Yule if A is omitted) Distribution
WARCDF(X,C,A) cumulative distribution function
WARPDF(X,C,A) probability density function
WARPPF(P,C,A) percent point function

Wrapped Cauchy Distribution
WCACDF(X,P) cumulative distribution function
WCAPDF(X,P) probability density function
WCAPPF(X,P) percent point function

Weibull Distribution
WEICDF(X,GAMMA) cumulative distribution function
WEIPDF(X,GAMMA) probability density function
WEIPPF(P,GAMMA) percent point function


Dataplot Functions

Date created: 6/5/2001
Last updated: 7/6/2001
Please email comments on this WWW page to alan.heckert@nist.gov.