About: Dirichlet-multinomial distribution

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In probability theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers. It is also called the Dirichlet compound multinomial distribution (DCM) or multivariate Pólya distribution (after George Pólya). It is a compound probability distribution, where a probability vector p is drawn from a Dirichlet distribution with parameter vector , and an observation drawn from a multinomial distribution with probability vector p and number of trials n. The Dirichlet parameter vector captures the prior belief about the situation and can be seen as a pseudocount: observations of each outcome that occur before the actual data is collected. The compounding corresponds to a Pólya urn scheme. It i

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rdf:type	yago:WikicatMultivariateDiscreteDistributions yago:Abstraction100002137 yago:Arrangement105726596 yago:Cognition100023271 yago:Distribution105729036 yago:PsychologicalFeature100023100 yago:Structure105726345 yago:WikicatDiscreteDistributions yago:WikicatProbabilityDistributions
rdfs:label	Dirichlet-multinomial distribution (en)
rdfs:comment	In probability theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers. It is also called the Dirichlet compound multinomial distribution (DCM) or multivariate Pólya distribution (after George Pólya). It is a compound probability distribution, where a probability vector p is drawn from a Dirichlet distribution with parameter vector , and an observation drawn from a multinomial distribution with probability vector p and number of trials n. The Dirichlet parameter vector captures the prior belief about the situation and can be seen as a pseudocount: observations of each outcome that occur before the actual data is collected. The compounding corresponds to a Pólya urn scheme. It i (en)
name	Dirichlet-Multinomial (en)
dct:subject	Compound probability distributions Discrete distributions Multivariate discrete distributions
Wikipage page ID	9169137 (xsd:integer)
Wikipage revision ID	1089112307 (xsd:integer)
Link from a Wikipage to another Wikipage	Bayesian statistics Probability distribution Pseudo-random number sampling Multinomial distribution Pólya urn model Bayesian network Beta function Beta-binomial distribution Beta distribution Compound probability distributions Variance Discrete distributions Correlated Correlation matrix Covariance Generalized Dirichlet distribution Genetics Mixture model Gamma function George Pólya Naive Bayes Machine learning Chinese restaurant process Statistics Compound probability distribution Krichevsky–Trofimov estimator Document classification Latent Dirichlet allocation Expected value Normalizing constant Multivariate discrete distributions Dirichlet distribution Dirichlet negative multinomial distribution Dirichlet process Probability theory Rank (linear algebra) Covariance matrix Latent variable Binomial distribution Support (mathematics) Economy Document clustering Marginal distribution Burstiness Poisson distribution Positive-definite matrix Empirical Bayes methods Integer Categorical distribution Categorical variable Machine translation Semi-supervised learning Unsupervised learning Multivariate hypergeometric distribution Spam (electronic) Gibbs sampling Overdispersion Topic model Polya urn model Urn model Negative binomial Classical statistics Joint distribution Random vector Conditional distribution Conjugate distribution Conjugate prior distribution Posterior distribution Compound distribution Sparse Matrix
Link from a Wikipage to an external page	http://www.cse.ucsd.edu/~dkauchak/kauchak05modeling.pdf http://www-cse.ucsd.edu/users/elkan/edcm.pdf https://www.jstor.org/stable/2333468 http://research.microsoft.com/~minka/papers/dirichlet/
sameAs	Dirichlet-multinomial distribution Dirichlet-multinomial distribution Dirichlet-multinomial distribution Dirichlet-multinomial distribution Dirichlet-multinomial distribution
dbp:wikiPageUsesTemplate	dbt:Citation_needed dbt:Clarification_needed dbt:Math dbt:More_footnotes

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