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BorelTannerDistribution

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Borel-Tanner discrete distribution (prime-power-merged PMF)

BorelTannerDistribution[α, n]
Mean[BorelTannerDistribution[α, n]] → n/(1 - α)PDF[BorelTannerDistribution[α, n], x] → Piecewise[{{(α^(-n + x)*n*x^(-1 - n + x))/(E^(x*α)*(-n + x)!), x >= n}}, 0]Variance[BorelTannerDistribution[α, n]] → (n*α)/(1 - α)^3
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