Dataplot Reference Manual
Volume 2: LET Subcommands and Library Functions

Chapter 8: Probability Library Functions

Note that some multivariate distributional capabilities are documented in the Matrix Commands chapter.

INTRODUCTION

Probability Distributions - Parameter Names

Alpha Distribution       ALPCDF (CDF function)       ALPCHAZ (Cumulative Hazard function)       ALPHAZ (Hazard function)       ALPCDF (PDF function)       ALPCDF (PPF function)

Anglit Distribution       ANGCDF (CDF function)       ANGPDF (PDF function)       ANGPPF (PPF function)

Arcsine Distribution       ARSCDF (CDF function)       ARSPDF (PDF function)       ARSPPF (PPF function)

Asymmetric Double Exponential (Laplace)       ADECDF (CDF function)       ADEPDF (PDF function)       ADEPPF (PPF function)

Beta Distribution       BETCDF (CDF function)       BETPDF (PDF function)       BETPPF (PPF function)

Beta-Binomial Distribution       BBNCDF (CDF function)       BBNPDF (PDF function)       BBNPPF (PPF function)

Beta-Geometric Distribution       BGECDF (CDF function)       BGEPDF (PDF function)       BGEPPF (PPF function)

Beta-Negative Binomial Distribution       BNBCDF (CDF function)       BNBPDF (PDF function)       BNBPPF (PPF function)

Beta-Normal Distribution       BNOCDF (CDF function)       BNOPDF (PDF function)       BNOPPF (PPF function)

Beta-Normal Distribution       BNOCDF (CDF function)       BNOPDF (PDF function)       BNOPPF (PPF function)

Binomial Distribution       BINCDF (CDF function)       BINPDF (PDF function)       BINPPF (PPF function)

Bivariate Normal Distribution       BVNCDF (CDF function)       BVNPDF (PDF function)

Bi-Weibull Distribution       BWECDF (CDF function)       BWECHAZ (Cumulative hazard function)       BWEHAZ (Hazard function)       BWEPDF (PDF function)       BWEPPF (PPF function)

Bradford Distribution       BRACDF (CDF function)       BRAPDF (PDF function)       BRAPPF (PPF function)

Borel-Tanner Distribution       BTACDF (CDF function)       BTAPDF (PDF function)       BTAPPF (PPF function)

Burr Type 2 Distribution       BU2CDF (CDF function)       BU2PDF (PDF function)       BU2PPF (PPF function)

Burr Type 3 Distribution       BU3CDF (CDF function)       BU3PDF (PDF function)       BU3PPF (PPF function)

Burr Type 4 Distribution       BU4CDF (CDF function)       BU4PDF (PDF function)       BU4PPF (PPF function)

Burr Type 5 Distribution       BU5CDF (CDF function)       BU5PDF (PDF function)       BU5PPF (PPF function)

Burr Type 6 Distribution       BU6CDF (CDF function)       BU6PDF (PDF function)       BU6PPF (PPF function)

Burr Type 7 Distribution       BU7CDF (CDF function)       BU7PDF (PDF function)       BU7PPF (PPF function)

Burr Type 8 Distribution       BU8CDF (CDF function)       BU8PDF (PDF function)       BU8PPF (PPF function)

Burr Type 9 Distribution       BU9CDF (CDF function)       BU9PDF (PDF function)       BU9PPF (PPF function)

Burr Type 10 Distribution       B10CDF (CDF function)       B10PDF (PDF function)       B10PPF (PPF function)

Burr Type 11 Distribution       B11CDF (CDF function)       B11PDF (PDF function)       B11PPF (PPF function)

Burr Type 12 Distribution       B12CDF (CDF function)       B12PDF (PDF function)       B12PPF (PPF function)

Cauchy Distribution       CAUCDF (CDF function)       CAUPDF (PDF function)       CAUPPF (PPF function)       CAUSF (Sparsity function)

Chi Distribution       CHCDF (CDF function)       CHPDF (PDF function)       CHPPF (PPF function)

Chi-Square Distribution       CHSCDF (CDF function)       CHSPDF (PDF function)       CHSPPF (PPF function)

Classical Matching Distribution       MATCDF (CDF function)       MATPDF (PDF function)       MATPPF (PPF function)

Consul (generalized geometric) Distribution       CONCDF (CDF function)       CONPDF (PDF function)       CONPPF (PPF function)

Cosine Distribution       COSCDF (CDF function)       COSPDF (PDF function)       COSPPF (PPF function)

Discrete Uniform Distribution       DISCDF (CDF function)       DISPDF (PDF function)       DISPPF (PPF function)

Discrete Weibull Distribution       DIWCDF (CDF function)       DIWPDF (Hazard funciton)       DIWPDF (PDF function)       DIWPPF (PPF function)

Double Exponential (Laplace) Distribution       DEXCDF (CDF function)       DEXPDF (PDF function)       DEXPPF (PPF function)       DEXSF (Sparsity function)

Double Gamma Distribution       DGACDF (CDF function)       DGAPDF (PDF function)       DGAPPF (PPF function)

Double Weibull Distribution       DWECDF (CDF function)       DWEPDF (PDF function)       DWEPPF (PPF function)

Doubly Non-Central F Distribution       DNFCDF (CDF function)       DNFPDF (PDF function)       DNFPPF (PPF function)

Doubly Non-Central t Distribution       DNTCDF (CDF function)       DNTPDF (PDF function)       DNTPPF (PPF function)

Doubly Pareto Uniform Distribution       DPUCDF (CDF funcion)       DPUPDF (PDF function)       DPUPPF (PPF function)

Error Distribution       ERRCDF (CDF function)       ERRPDF (PDF function)       ERRPPF (PPF function)

Exponential Distribution       EXPCDF (CDF function)       EXPCHAZ (Cumulative Hazard function)       EXPHAZ (Hazard function)       EXPPDF (PDF function)       EXPPPF (PPF function)       EXPSF (Sparsity function)

Exponential Power Distribution       PEXCDF (CDF function)       PEXCHAZ (Cumulative Hazard function)       PEXHAZ (Hazard function)       PEXPDF (PDF function)       PEXPPF (PPF function)

Exponentiated Weibull Distribution       EWECDF (CDF function)       EWECHAZ (Cumulative Hazard function)       EWEHAZ (Hazard function)       EWEPDF (PDF function)       EWEPPF (PPF function)

Extreme Value Type I (Gumbel) Distribution       EV1CDF (CDF function)       EV1CHAZ (Cumulative Hazard function)       EV1HAZ (Hazard function)       EV1PDF (PDF function)       EV1PPF (PPF function)

Extreme Value Type II (Frechet, Inverted Weibull) Distribution       EV2CDF (CDF function)       EV2CHAZ (Cumulative Hazard function)       EV2HAZ (Hazard function)       EV2PDF (PDF function)       EV2PPF (PPF function)

F Distribution       FCDF (CDF function)       FPDF (PDF function)       FPPF (PPF function)

Fatigue Life Distribution       FLCDF (CDF function)       FLCHAZ (Cumulative Hazard function)       FLHAZ (Hazard function)       FLPDF (PDF function)       FLPPF (PPF function)

Folded Cauchy Distribution       FCACDF (CDF function)       FCAPDF (PDF function)       FCAPPF (PPF function)

Folded Normal Distribution       FNRCDF (CDF function)       FNRPDF (PDF function)       FNRPPF (PPF function)

Folded t Distribution       FTCDF (CDF function)       FTPDF (PDF function)       FTPPF (PPF function)

Gamma Distribution       GAMCDF (CDF function)       GAMCHAZ (Cumulative Hazard function)       GAMHAZ (Hazard function)       GAMPDF (PDF function)       GAMPPF (PPF function)

G-and-H Distribution       GHCDF (CDF function)       GHPDF (PDF function)       GHPPF (PPF function)

Geeta Distribution       GETCDF (CDF function)       GETPDF (PDF function)       GETPPF (PPF function)

Geometric Distribution       GEOCDF (CDF function)       GEOPDF (PDF function)       GEOPPF (PPF function)

Geometric Extreme Exponential Distribution       GEECDF (CDF function)       GEECHAZ (Cumulative Hazard function)       GEEHAZ (Hazard function)       GEEPDF (PDF function)       GEEPPF (PPF function)

Generalized Exponential Distribution       GEXCDF (CDF function)       GEXPDF (PDF function)       GEXPPF (PPF function)

Generalized Extreme Value Distribution       GEVCDF (CDF function)       GEVPDF (PDF function)       GEVPPF (PPF function)

Generalized Gamma Distribution       GGDCDF (CDF function)       GGDCHAZ (Cumulative Hazard function)       GGDHAZ (Hazard function)       GGDPDF (PDF function)       GGDPPF (PPF function)

Generalized Logarithmic Series Distribution       GLSCDF (CDF function)       GLSPDF (PDF function)       GLSPPF (PPF function)

Generalized Logistic Distribution       GLOCDF (CDF function)       GLOPDF (PDF function)       GLOPPF (PPF function)

Generalized Logistic Type 2 Distribution       GL2CDF (CDF function)       GL2PDF (PDF function)       GL2PPF (PPF function)

Generalized Logistic Type 3 Distribution       GL3CDF (CDF function)       GL3PDF (PDF function)       GL3PPF (PPF function)

Generalized Logistic Type 4 Distribution       GL4CDF (CDF function)       GL4PDF (PDF function)       GL4PPF (PPF function)

Generalized Logistic Type 5 Distribution       GL5CDF (CDF function)       GL5PDF (PDF function)       GL5PPF (PPF function)

Generalized McLeish Distribution       GMCCDF (CDF function)       GMCPDF (PDF function)       GMCPPF (PPF function)

Generalized Pareto Distribution       GEPCDF (CDF function)       GEPCHAZ (Cumulative Hazard function)       GEPHAZ (Hazard function)       GEPPDF (PDF function)       GEPPPF (PPF function)

Generalized Topp and Leone Distribution       GTLCDF (CDF function)       GTLPDF (PDF function)       GTLPPF (PPF function)

Generalized Trapezoid Distribution       GTRCDF (CDF function)       GTRPDF (PDF function)       GTRPPF (PPF function)

Generalized Tukey-Lambda Distribution       GLDCDF (CDF function)       GLDPDF (PDF function)       GLDPPF (PPF function)

Gompertz Distribution       GOMCDF (CDF function)       GOMPDF (PDF function)       GOMPPF (PPF function)

Gompertz-Makeham Distribution       MAKCDF (CDF function)       MAKCHAZ (Cumulative Hazard function)       MAKHAZ (Hazard function)       MAKPDF (PDF function)       MAKPPF (PPF function)

Half-Cauchy Distribution       HFCCDF (CDF function)       HFCPDF (PDF function)       HFCPPF (PPF funciton)

Half-Logisitc and Generalized Half-Logistic Distribution       HFLCDF (CDF function)       HFLPDF (PDF function)       HFLPPF (PPF function)

Half-Normal Distribution       HFNCDF (CDF function)       HFNPDF (PDF function)       HFNPPF (PPF function)

Hermite Distribution       HERCDF (CDF function)       HERPDF (PDF function)       HERPPF (PPF function)

Hyperbolic Secant Distribution       HSECDF (CDF function)       HSEPDF (PDF function)       HSEPPF (PPF function)

Hypergeometric Distribution       HYPCDF (CDF function)       HYPPDF (PDF function)       HYPPPF (PPF function)

Inverse Gaussian Distribution       IGCDF (CDF function)       IGCHAZ (Cumulative Hazard function)       IGHAZ (Hazard function)       IGPDF (PDF function)       IGPPF (PPF function)

Inverted Beta Distribution       IBCDF (CDF function)       IBPDF (PDF function)       IBPPF (PPF function)

Inverted Gamma Distribution       IGACDF (CDF function)       IGACHAZ (Cumulative Hazard function)       IGAHAZ (Hazard function)       IGAPDF (PDF function)       IGAPPF (PPF function)

Johnson SB Distribution       JSBCDF (CDF function)       JSBPDF (PDF function)       JSBPPF (PPF function)

Johnson SU Distribution       JSUCDF (CDF function)       JSUPDF (PDF function)       JSUPPF (PPF function)

Kappa Distribution       KAPCDF (CDF function)       KAPPDF (PDF function)       KAPPPF (PPF function)

Kumaraswamy Distribution       KUMCDF (CDF function)       KUMPDF (PDF function)       KUMPPF (PPF function)

Lagrange Poisson Distribution       LPOCDF (CDF function)       LPOPDF (PDF function)       LPOPPF (PPF function)

Leads in Coin Tossing Distribution       LCTCDF (CDF function)       LCTPDF (PDF function)       LCTPPF (PPF function)

Log Beta Distribution       LBECDF (CDF function)       LBEPDF (PDF function)       LBEPPF (PPF function)

Log Double Exponential (Log Laplace) Distribution       LDECDF (CDF function)       LDEPDF (PDF function)       LDEPPF (PPF function)

Log Gamma Distribution       LGACDF (CDF function)       LGAPDF (PDF function)       LGAPPF (PPF function)

Log Logistic Distribution       LLGCDF (CDF function)       LLGPDF (PDF function)       LLGPPF (PPF function)

Logarithmic Series Distribution       DLGCDF (CDF function)       DLGPDF (PDF function)       DLGPPF (PPF function)

Logistic Distribution       LOGCDF (CDF function)       LOGCHAZ (Cumulative Hazard function)       LOGHAZ (Hazard function)       LOGPDF (PDF function)       LOGPPF (PPF function)

Logistic Exponential Distribution       LEXCDF (CDF function)       LEXCHAZ (Cumulative Hazard function)       LEXHAZ (Hazard function)       LEXPDF (PDF function)       LEXPPF (PPF function)

Lognormal Distribution       LGNCDF (CDF function)       LGNCHAZ (Cumulative Hazard function)       LGNHAZ (Hazard function)       LGNPDF (PDF function)       LGNPPF (PPF function)

Log Skew Normal Distribution       LSNCDF (CDF function)       LSNPDF (PDF function)       LSNPPF (PPF function)

Log Skew t Distribution       LSTCDF (CDF function)       LSTPDF (PDF function)       LSTPPF (PPF function)

Lost Games Distribution       LOSCDF (CDF function)       LOSPDF (PDF function)       LOSPPF (PPF function)

Tukey-Lambda Distribution       LAMCDF (CDF function)       LAMPDF (PDF function)       LAMPPF (PPF function)       LAMSF (Sparsity function)

Maxwell-Boltzman Distribution       MAXCDF (CDF function)       MAXPDF (PDF function)       MAXPPF (PPF function)

McLeish Distribution       MCLCDF (CDF function)       MCLPDF (PDF function)       MCLPPF (PPF function)

Mielke's Beta-Kappa Distribution       MIECDF (CDF function)       MIEPDF (PDF function)       MIEPPF (PPF function)

Muth Distribution       MUTCDF (CDF function)       MUTCHAZ (Cumulative Hazard function)       MUTHAZ (Hazard function)       MUTPDF (PDF function)       MUTPPF (PPF function)

Negative Binomial Distribution       NBCDF (CDF function)       NBPDF (PDF function)       NBPPF (PPF function)

Non-Central Beta Distribution       NCBCDF (CDF function)       NCBPDF (PDF function)       NCBPPF (PPF function)

Non-Central Chi-Square Distribution       NCCCDF (CDF function)       NCCNCP (Non-Central chi-square non-centrality parameter)       NCCPDF (PDF function)       NCCPPF (PPF function)

Non-Central F Distribution       NCFCDF (CDF function)       NCFPDF (PDF function)       NCFPPF (PPF function)

Non-Central t Distribution       NCTCDF (CDF function)       NCTPDF (PDF function)       NCTPPF (PPF function)

Normal Distribution       NORCDF (CDF function)       NORCHAZ (Cumulative Hazard function)       NORHAZ (Hazard function)       NORPDF (PDF function)       NORPPF (PPF function)       NORSF (Sparsity function)

Normal Mixture Distribution       NORMXCDF (CDF function)       NORMXPDF (PDF function)       NORMXPDF (PPF function)

Ogive Distribution       OGICDF (CDF function)       OGIPDF (PDF function)       OGIPPF (PPF function)

Pareto Distribution       PARCDF (CDF function)       PARCHAZ (Cumulative Hazard function)       PARHAZ (Hazard function)       PARPDF (PDF function)       PARPPF (PPF function)

Pareto Second Kind Distribution       PA2CDF (CDF function)       PA2PDF (PDF function)       PA2PPF (PPF function)

Poisson Distribution       POICDF (CDF function)       POIPDF (PDF function)       POIPPF (PPF function)

Polya-Aeppli Distribution       PAPCDF (CDF function)       PAPPDF (PDF function)       PAPPPF (PPF function)

Power Distribution       POWCDF (CDF function)       POWCHAZ (Cumulative Hazard function)       POWHAZ (Hazard function)       POWPDF (PDF function)       POWPPF (PPF function)

Power Lognormal Distribution       PLNCDF (CDF function)       PLNCHAZ (Cumulative Hazard function)       PLNHAZ (Hazard function)       PLNPDF (PDF function)       PLNPPF (PPF function)

Power Normal Distribution       PNRCDF (CDF function)       PNRCHAZ (Cumulative Hazard function)       PNRHAZ (Hazard function)       PNRPDF (PDF function)       PNRPPF (PDF function)

Quasi-Binomial Type I Distribution       QBICDF (CDF function)       QBIPDF (PDF function)       QBIPPF (PPF function)

Rayleigh Distribution       RAYCDF (CDF function)       RAYPDF (PDF function)       RAYPPF (PPF function)

Reciprocal Distribution       RECCDF (CDF function)       RECPDF (PDF function)       RECPPF (PPF function)

Reciprocal Inverse Gaussian Distribution       RIGCDF (CDF function)       RIGCHAZ (Cumulative Hazard function)       RIGHAZ (Hazard function)       RIGPDF (PDF function)       RIGPPF (PPF function)

Reflected Generalized Topp and Leone Distribution       RGTCDF (CDF function)       RGTPDF (PDF function)       RGTPPF (PPF function)

Reflected Power Distribution       RPOCDF (CDF function)       RPOCHAZ (Cumulative Hazard function)       RPOHAZ (Hazard function)       RPOPDF (PDF function)       RPOPPF (PPF function)

Semicircular Distribution       SEMCDF (CDF function)       SEMPDF (PDF function)       SEMPPF (PPF function)

Slash Distribution       SLACDF (CDF function)       SLAPDF (PDF function)       SLAPPF (PPF function)

Skew Double Exponential (Laplace) Distribution       SDECDF (CDF function)       SDEPDF (PDF function)       SDEPPF (PPF function)

Skew Normal Distribution       SNCDF (CDF function)       SNPDF (PDF function)       SNPPF (PPF function)

Skew t Distribution       STCDF (CDF function)       STPDF (PDF function)       STPPF (PPF function)

Slope Distribution       SLOCDF (CDF function)       SLOPDF (PDF function)       SLOPPF (PPF function)

t Distribution       TCDF (CDF function)       TPDF (PDF function)       TPPF (PPF function)

Topp and Leone Distribution       TOPCDF (CDF function)       TOPPDF (PDF function)       TOPPPF (PPF function)

Trapezoid Distribution       TRACDF (CDF function)       TRAPDF (PDF function)       TRAPPF (PPF function)

Triangular Distribution       TRICDF (CDF function)       TRIPDF (PDF function)       TRIPPF (PPF function)

Truncated Exponential Distribution       TNECDF (CDF function)       TNEPDF (PDF function)       TNEPPF (PPF function)

Truncated Normal Distribution       TNRCDF (CDF function)       TNRPDF (PDF function)       TNRPPF (PPF function)

Two-Sided Ogive Distribution       TSOCDF (CDF function)       TSOPDF (PDF function)       TSOPPF (PPF function)

Two-Sided Power Distribution       TSPCDF (PPF function)       TSPPDF (PDF function)       TSPPPF (PPF function)

Two-Sided Slope Distribution       TSSCDF (CDF function)       TSSPDF (PDF function)       TSSPPF (PPF function)

Uniform Distribution       UNICDF (CDF function)       UNICHAZ (Cumulative Hazard function)       UNIHAZ (Hazard function)       UNIPDF (PDF function)       UNIPPF (PPF function)       UNISF (Sparsity function)

Uneven Two-Sided Power Distribution       UTSCDF (CDF function)       UTSPDF (PDF function)       UTSPPF (PPF function)

Von Mises Distribution       VONCDF (CDF function)       VONPDF (PDF function)       VONPPF (PPF function)

Wald Distribution       WALCDF (CDF function)       WALCHAZ (Cumulative Hazard function)       WALHAZ (Hazard function)       WALPDF (PDF function)       WALPPF (PPF function)

Wakeby Distribution       WAKCDF (CDF function)       WAKPDF (PDF function)       WAKPPF (PPF function)

Waring Distribution       WARCDF (CDF function)       WARPDF (PDF function)       WARPPF (PPF function)

Weibull Distribution       WEICDF (CDF function)       WEICHAZ (Cumulative Hazard function)       WEIHAZ (Hazard function)       WEIPDF (PDF function)       WEIPPF (PPF function)

Wrapped Cauchy Distribution       WCACDF (CDF function)       WCAPDF (PDF function)       WCAPPF (PPF function)

Yule Distribution       YULCDF (CDF function)       YULPDF (PDF function)       YULPPF (PPF function)

Zeta Distribution       ZETCDF (CDF function)       ZETPDF (PDF function)       ZETPPF (PPF function)

Zipf Distribution       ZIPCDF (CDF function)       ZIPPDF (PDF function)       ZIPPPF (PPF function)