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FactorialMomentGeneratingFunction

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

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