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Mathematica > Discrete Statistical Distributions >

Built-in Mathematica Symbol

BetaNegativeBinomialDistribution

, n]
represents a beta negative binomial mixture distribution with beta distribution parameters

and

, and

successful trials.

The beta negative binomial distribution is a negative binomial distribution whose probability parameter p follows a beta distribution with shape parameters and . »

BetaNegativeBinomialDistribution allows , and n to be any positive real numbers.

Mean and variance of a beta negative binomial distribution:

Probability density function:

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