Probability Distribution Functions and Inverses

Functions

Discrete Random Variables: Distribution Functions and Probability Functions

Distribution Functions

Binomial distribution function binomialCdf

Binomial probability function binomialPdf

Discrete geometric cumulative distribution function geometricCdf

Inverse of the discrete geometric cumulative

distribution function geometricInverseCdf

Discrete geometric probability density function geometricPdf

Hypergeometric distribution function hypergeometricCdf

Hypergeometric probability function hypergeometricPdf

Poisson distribution function poissonCdf

Poisson probability function poissonPdf

Discrete uniform cumulative distribution function discreteUniformCdf

Inverse of the discrete uniform cumulative

distribution function discreteUniformInverseCdf

Discrete uniform probability density function discreteUniformPdf

Continuous Random Variables

Distribution Functions and their Inverses

Beta distribution function betaCdf

Inverse beta distribution function betaInverseCdf

Noncentral beta cumulative distribution

function (CDF) nonCentralBetaCdf

Inverse of the noncentral beta CDF nonCentralBetaInverseCdf

Noncentral beta probability density function (PDF) nonCentralBetaPdf

Bivariate normal distribution function bivariateNormalCdf

Chi-squared distribution function chiSquaredCdf

Inverse chi-squared distribution function chiSquaredInverseCdf

Calculates the complement of the chi-squared

distribution complementaryChiSquaredCdf

Noncentral chi-squared distribution function nonCentralChiSq

Inverse of the noncentral chi-squared distribution function nonCentralChiSqInv

Noncentral chi-squared probability

density function (PDF) nonCentralChiSqPdf

Exponential cumulative distribution function exponentialCdf

Inverse of the exponential cumulative

distribution function exponentialInverseCdf

Exponential probability density function exponentialPdf

F distribution function fCdf

Inverse F distribution function fInverseCdf

Calculates the complement of the F distribution

function complementaryFCdf

Noncentral F probability density

function (PDF) nonCentralFPdf

Noncentral F cumulative distribution

function (CDF) nonCentralFCdf

Calculates the complement of the noncentral

F CDF complementaryNonCentralFCdf

Inverse of the noncentral F distribution function nonCentralFInverseCdf

Gamma distribution function gammaCdf

Inverse gamma distribution function gammaInverseCdf

Lognormal cumulative distribution function lognormalCdf

Inverse of the lognormal cumulative distribution function lognormalInverseCdf

Lognormal probability density function lognormalPdf

Normal (Gaussian) distribution function normalCdf

Multivariate normal distribution function multivariateNormalCdf

Inverse normal distribution function normalInverseCdf

Student’s t distribution function tCdf

Inverse Student’s t distribution function tInverseCdf

Calculates the complement of the Student’s t

distribution complementaryTCdf

Noncentral Student’s t distribution function nonCentralTCdf

Inverse of the noncentral Student’s t distribution function nonCentralTInvCdf

Pareto cumulative probability distribution function paretoCdf

Pareto probability density function paretoPdf

Parameter Estimation

Maximum likelihood estimation for univariate

probability distributions maxLikelihoodEstimates