# Questions tagged [beta-binomial-distribution]

The beta-binomial is a discrete distribution on 0, 1, ..., *n* where the probability of success in a binomial distribution (*p*) is itself drawn from a beta distribution.

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### Posterior of binomial and mixed prior

I'm currently studying posterior distribution with likelihood $y|\theta \sim B(n,\theta)$ and mixture of prior distribution $\theta \sim \pi Beta(\alpha_1, \beta_1) + (1-\pi)Beta(\alpha_2, \beta_2)$. ...
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### Inference of Beta-Bernoulli Distribution

Assume $x_1, x_2, \cdots, x_n$ follows a $Bern(\pi_0)$, Let $y_{ik}$ follows $Beta(\alpha,\beta)$, $i\in \{1,\cdots, n\}$, and $k\in \{1,\cdots, K\}$. Let $z_k$ follows a Bernoulli Distribution with a ...
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### Interpreting predict() with gamlss() and beta-binomial family=BB

Note after answer is posted: The issue here was actually about formatting the data of the dependent variables in the formula when using (beta-)binomial families. Not about ...
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### Laplace's law of succession for ordinal variables

this is just a little curiosity of mine, but has anyone heard of some simple model like Laplace's law of succession, however for ordinal RVs instead of a binomial? Specifically, I'm thinking about ...
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### Significance of outliers with multiple weighted coins

tl;dr: I have N weighted coins, each of which has been flipped some number of times (n_i), and for which I've measured the ...
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### Express infinite serie in terms of a shape parameters of beta distribution

Player A and B participate in a match where the probability that A will win each point is $p$, for B its $1-p$ and a player wins when he reach $11$ points by a margin of $\ge2$ The outcome of the ...
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### Variations on Uniform Priors with Binomial Signals?

the standard result is that with a uniform prior on p (from 0 to 1) and binomial signals (h H signals and (n-h) L signals from n draws, each with probability p), the posterior mean is (h+1)/(n+2) and ...
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### RJAGS - Bayesian Beta binomial syntax

I am working on a classic problem when the posterior probability distribution of a proportion must be obtained. This parameters is assumed to followed a beta distribution, therefore the number of ...
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### For a binary outcome, is the distribution necessarily Bernoulli? Could, for instance, "beta-Bernoulli be in play?

When a variable is binary, it sure seems like its distribution is totally characterized by the probability of being in one group: the variable takes one value with probability $p$ and the other value ...
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### Parameterization of the beta-binomial family Glmmtmb

I have trouble understanding the documentation for the glmmtmb package (https://cran.r-project.org/web/packages/glmmTMB/glmmTMB.pdf) On page 26, in the details on the beta-binomial distribution, it ...
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### Selecting between a zero-inflated binomial, OLRE and beta-binomial model

I need some help in deciding which of the following models fits best the data that I have. This was a survey where participants reported proportions of successes (defined as n/m) in condition A and B. ...