CumulantGeneratingFunction

Available

Cumulant-generating function Log[E[e^(tX)]] of a probability distribution

Forms

CumulantGeneratingFunction[dist, t]

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

Verified examplesCumulantGeneratingFunction[PoissonDistribution[μ], t] → (-1 + E^t)*μ CumulantGeneratingFunction[NormalDistribution[μ, σ], t] → μ*t + (σ^2*t^2)/2 CumulantGeneratingFunction[NormalDistribution[], t] → 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
Summation Transforms - Statistical Summation Transforms »

Related

Cumulant CharacteristicFunction MomentGeneratingFunction CentralMomentGeneratingFunction FactorialMomentGeneratingFunction GeneratingFunction CDFWavelet Cashflow CensoredDistribution CirculantGraph ClosenessCentrality ClusteringComponents

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