Supported Distributions

MuPAD® supports standard continuous and discrete distributions. The system associates the following routines with each implemented distribution:

  • A probability density function (PDF) for continuous distributions or probability function (PF) for discrete distributions

  • A cumulative distribution function (CDF)

  • An inverse cumulative distribution function (quantile function)

  • A random number generator

The following continuous distributions are available in MuPAD.

NamePDFCDFQuantileRandom Generator
β-distributionstats::betaPDFstats::betaCDFstats::betaQuantilestats::betaRandom
Cauchy distributionstats::cauchyPDFstats::cauchyCDFstats::cauchyQuantilestats::cauchyRandom
χ2-distributionstats::chisquarePDFstats::chisquareCDFstats::chisquareQuantilestats::chisquareRandom
Erlang distributionstats::erlangPDFstats::erlangCDFstats::erlangQuantilestats::erlangRandom
Exponential distributionstats::exponentialPDFstats::exponentialCDFstats::exponentialQuantilestats::exponentialRandom
F-distributionstats::fPDFstats::fCDFstats::fQuantilestats::fRandom
γ-distributionstats::gammaPDFstats::gammaCDFstats::gammaQuantilestats::gammaRandom
Logistic distributionstats::logisticPDFstats::logisticCDFstats::logisticQuantilestats::logisticRandom
Lognormal distributionstats::lognormalPDFstats::lognormalCDFstats::lognormalQuantilestats::lognormalRandom
Normal distributionstats::normalPDFstats::normalCDFstats::normalQuantilestats::normalRandom
Student's t-distributionstats::tPDFstats::tCDFstats::tQuantilestats::tRandom
Uniform distributionstats::uniformPDFstats::uniformCDFstats::uniformQuantilestats::uniformRandom
Weibull distributionstats::weibullPDFstats::weibullCDFstats::weibullQuantilestats::weibullRandom

The following discrete distributions are available in MuPAD.

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