Continuous Distributions (Mathematica Tutorial)

The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...

Cumulant (Built-in Mathematica Symbol)

Cumulant[dist, r] gives the r\[Null]^th cumulant of the symbolic distribution dist.Cumulant[list, r] gives the r\[Null]^th cumulant of the elements in the list.Cumulant[r] ...

DistributionParameterQ (Built-in Mathematica Symbol)

DistributionParameterQ[dist] yields True if dist is a valid distribution, and yields False otherwise.

Beta (Built-in Mathematica Symbol)

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

CentralMomentGeneratingFunction (Built-in Mathematica Symbol)

CentralMomentGeneratingFunction[dist, t] gives the central moment generating function for the symbolic distribution dist as a function of the variable t. ...

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

Kurtosis (Built-in Mathematica Symbol)

Kurtosis[list] gives the coefficient of kurtosis for the elements in list.Kurtosis[dist] gives the coefficient of kurtosis for the symbolic distribution dist.

GammaDistribution (Built-in Mathematica Symbol)

GammaDistribution[\[Alpha], \[Beta]] represents a gamma distribution with shape parameter \[Alpha] and scale parameter \[Beta].GammaDistribution[\[Alpha], \[Beta], \[Gamma], ...

NegativeBinomialDistribution (Built-in Mathematica Symbol)

NegativeBinomialDistribution[n, p] represents a negative binomial distribution with parameters n and p.

UniformDistribution (Built-in Mathematica Symbol)

UniformDistribution[{min, max}] represents a continuous uniform statistical distribution giving values between min and max. UniformDistribution[] represents a uniform ...