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Date: 19-2-2021
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Date: 5-4-2021
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Date: 18-4-2021
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A variable with a beta binomial distribution is distributed as a binomial distribution with parameter , where
is distribution with a beta distribution with parameters
and
. For
trials, it has probability density function
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(1) |
where is a beta function and
is a binomial coefficient, and distribution function
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(2) |
where is a gamma function and
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(3) |
is a generalized hypergeometric function.
It is implemented as BetaBinomialDistribution[alpha, beta, n].
The first few raw moments are
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(4) |
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(5) |
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(6) |
giving the mean and variance as
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(7) |
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