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CentralMomentGeneratingFunction

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

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