beta-binomial distribution

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:organization
gptkbp:application	ecology genetics reliability engineering modeling overdispersion
gptkbp:category	discrete distribution
gptkbp:conjugatePriorFor	binomial likelihood
gptkbp:describes	number of successes in n Bernoulli trials with random probability
gptkbp:firstDescribed	early 20th century
gptkbp:generalizes	gptkb:binomial_distribution
gptkbp:hasSpecialCase	compound probability distribution
https://www.w3.org/2000/01/rdf-schema#label	beta-binomial distribution
gptkbp:meaning	n * alpha / (alpha + beta)
gptkbp:namedAfter	gptkb:beta_distribution gptkb:binomial_distribution
gptkbp:overdispersedRelativeTo	gptkb:binomial_distribution
gptkbp:parameter	n alpha beta
gptkbp:PMF	C(n, k) * Beta(k+alpha, n-k+beta) / Beta(alpha, beta)
gptkbp:relatedTo	gptkb:beta_distribution gptkb:binomial_distribution
gptkbp:supports	k = 0, 1, ..., n
gptkbp:usedIn	Bayesian statistics
gptkbp:variant	n * alpha * beta * (alpha + beta + n) / ((alpha + beta)^2 * (alpha + beta + 1))
gptkbp:bfsParent	gptkb:Pólya_urn_model
gptkbp:bfsLayer	6