Beta Binomial Distribution
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
www.almerja.com
الجزء والصفحة:
...
16-4-2021
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Beta Binomial Distribution
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
 |
(1)
|
where 
is a beta function and 
is a binomial coefficient, and distribution function
 |
(2)
|
where 
is a gamma function and
 |
(3)
|
is a generalized hypergeometric function.
It is implemented as BetaBinomialDistribution[alpha, beta, n].
The first few raw moments are
giving the mean and variance as
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