FactorialMomentGeneratingFunction

利用可能

Expected value E[t^X] of a distribution (MGF at Log t)

形式

FactorialMomentGeneratingFunction[dist, t]

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

検証済みの例FactorialMomentGeneratingFunction[PoissonDistribution[μ], t] → E^((-1 + t)*μ)FactorialMomentGeneratingFunction[NormalDistribution[μ, σ], t] → E^(μ*Log[t] + (σ^2*Log[t]^2)/2)FactorialMomentGeneratingFunction[GeometricDistribution[p], t] ^ n → (p/(1 - (1 - p)*t))^n

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トピック

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Statistical Distribution Functions - Generating Functions »
Statistical Moments And Generating Functions - Moment-Generating Functions

関連

FactorialMoment Expectation CharacteristicFunction MomentGeneratingFunction CentralMomentGeneratingFunction CumulantGeneratingFunction GeneratingFunction FilledCurve FillingTransform FindClique FindDistributionParameters FindEulerianCycle

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