NegativeMultinomialDistribution

可用

Multivariate discrete distribution counting failures of k types before n successes

形式

NegativeMultinomialDistribution[n, p]

已驗證的範例Mean[NegativeMultinomialDistribution[n, {Subscript[p, 1], Subscript[p, 2]}]] → {(n*Subscript[p, 1])/(1 - Subscript[p, 1] - Subscript[p, 2]), (n*Subscript[p, 2])/(1 - Subscript[p, 1] - Subscript[p, 2])}Variance[NegativeMultinomialDistribution[n, {Subscript[p, 1], Subscript[p, 2]}]] → {(n*Subscript[p, 1]*(1 - Subscript[p, 2]))/(1 - Subscript[p, 1] - Subscript[p, 2])^2, (n*(1 - Subscript[p, 1])*Subscript[p, 2])/(1 - Subscript[p, 1] - Subscript[p, 2])^2}PDF[NegativeMultinomialDistribution[n, {Subscript[p, 1], Subscript[p, 2]}], {x, y}] → Piecewise[{{((1 - Subscript[p, 1] - Subscript[p, 2])^n*Pochhammer[n, x + y]*Subscript[p, 1]^x*Subscript[p, 2]^y)/(x!*y!), x >= 0 && y >= 0}}, 0]

在 Qurak 上執行搜尋參考文件

主題

New In80 Alphabetical Listing - N
Parametric Statistical Distributions - Multivariate Discrete Distributions
Urn Model Distributions - Urn with Multiple Colored Balls

相關

NegativeBinomialDistribution MultinomialDistribution DiscreteUniformDistribution MultivariatePoissonDistribution NExpectation NProbability NakagamiDistribution NeighborhoodGraph NormalizedSquaredEuclideanDistance

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