The Beta-Binomial Distribution
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Author
Hodel, Florian
Booth, James
Abstract
The beta-binomial distribution can be thought of as a binomial distribution where the probability of success in each trial is not fixed but follows a beta distribution. It is often used to capture correlation in a sequence of Bernoulli trials or to model over-dispersion. Furthermore, it frequently arises in Bayesian statistics, since the beta distribution is the conjugate prior of the Bernoulli distribution. This article is a tutorial on the beta-binomial distribution, its connection with other distributions, its derivation and properties. Several examples are given and common misunderstandings addressed.
Date Issued
2023-01-12
Rights
Attribution 4.0 International
Type
article
Accessibility Hazard
none