BetaNegativeBinomialDistribution

Available

Beta negative binomial distribution (Mean and Variance)

Forms

BetaNegativeBinomialDistribution[α, β, n]

Verified examplesMean[BetaNegativeBinomialDistribution[α, β, n]] → Piecewise[{{(n*β)/(-1 + α), α > 1}}, Infinity]Variance[BetaNegativeBinomialDistribution[α, β, n]] → Piecewise[{{(n*(-1 + n + α)*β*(-1 + α + β))/((-2 + α)*(-1 + α)^2), α > 2}}, Infinity]DiscretePlot[Table[CDF[BetaNegativeBinomialDistribution[α, 1, 20], x], {α, {1, 2.5, 5}}]//Evaluate, {x, 0, 30}, ExtentSize -> Right] → -Graphics-

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Topics

Discrete Univariate Distributions - Beta Mixture Distributions
Distributions Used In Actuarial Science - Insurance Claim Frequency Distributions
New In60 Alphabetical Listing - B

Related

NegativeBinomialDistribution BetaBinomialDistribution BetaDistribution GeometricDistribution WaringYuleDistribution Backslash Band BaseStyle BaselinePosition Because BellB BernoulliDistribution

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