Definition: Beta-binomial data
Index: The Book of Statistical Proofs ▷ Statistical Models ▷ Frequency data ▷ Beta-binomial data ▷ Definition
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Metadata: ID: D178 | shortcut: betabin-data | author: JoramSoch | date: 2022-10-20, 08:20.
Definition: Beta-binomial data are defined as a set of counts $y = \left\lbrace y_1, \ldots, y_N \right\rbrace$ with $y_i \in \mathbb{N}, \; i = 1,\ldots,N$, independent and identically distributed according to a beta-binomial distribution with number of trials $n$ as well as shapes $\alpha$ and $\beta$:
\[\label{eq:betabin-data} y_i \sim \mathrm{BetBin}(n,\alpha,\beta), \quad i = 1, \ldots, N \; .\]Metadata: ID: D178 | shortcut: betabin-data | author: JoramSoch | date: 2022-10-20, 08:20.