FactorialMomentGeneratingFunction

可用

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

形式

FactorialMomentGeneratingFunction[dist, t]

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

验证过的示例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

在 Qurak 上运行搜索参考

主题

New In80 Alphabetical Listing - F
Statistical Distribution Functions - Generating Functions »
Statistical Moments And Generating Functions - Moment-Generating Functions

相关

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

全部 6300 个函数 · 从 MCP 客户端使用