CentralMomentGeneratingFunction

Available

Expected value E[e^(t(X-mean))] of a distribution

Forms

CentralMomentGeneratingFunction[dist, t]

CentralMomentGeneratingFunction[dist, {t1, t2, …}]

Verified examplesCentralMomentGeneratingFunction[PoissonDistribution[μ], t] → E^((-1 + E^t)*μ - t*μ)CentralMomentGeneratingFunction[NormalDistribution[μ, σ], t] → E^((t^2*σ^2)/2)CentralMomentGeneratingFunction[NormalDistribution[], t] → E^(t^2/2)

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Topics

New In80 Alphabetical Listing - C
Statistical Distribution Functions - Generating Functions »
Statistical Moments And Generating Functions - Moment-Generating Functions

Related

CentralMoment Expectation CharacteristicFunction MomentGeneratingFunction CumulantGeneratingFunction FactorialMomentGeneratingFunction GeneratingFunction CDFWavelet Cashflow CensoredDistribution CirculantGraph ClosenessCentrality

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