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CumulantGeneratingFunction

可用

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

CumulantGeneratingFunction[dist, t]
CumulantGeneratingFunction[dist, {t1, t2, …}]
CumulantGeneratingFunction[PoissonDistribution[μ], t] → (-1 + E^t)*μCumulantGeneratingFunction[NormalDistribution[μ, σ], t] → μ*t + (σ^2*t^2)/2CumulantGeneratingFunction[NormalDistribution[], t] → t^2/2
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