theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative...

categorical distribution and multinomial distribution. The infinite-dimensional generalization of the Dirichlet distribution is the Dirichlet process. The...

In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts...

probability theory and statistics, the Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a...

It connects the categorical distribution with the related multinomial distribution. It shows why the Dirichlet distribution is the conjugate prior of the...

the Dirichlet-multinomial distribution as the binomial and beta distributions are univariate versions of the multinomial and Dirichlet distributions respectively...

the article on the Dirichlet-multinomial distribution, as part of a more general discussion of integrating Dirichlet distribution priors out of a Bayesian...

theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two outcomes...

Dirichlet prior, and the joint distribution of these variables after collapsing is a Dirichlet-multinomial distribution. The conditional distribution...

Bernoulli distributions in exactly the same way as the Dirichlet distribution is conjugate to the multinomial distribution and categorical distribution. The...

generalization of the binomial distribution Multivariate hypergeometric distribution, similar to the multinomial distribution, but using sampling without...

average Dirichlet distribution (probability theory) Dirichlet-multinomial distribution Dirichlet negative multinomial distribution Generalized Dirichlet distribution...

beta-binomial distribution and Dirichlet-multinomial distribution are all predictive distributions of exponential-family distributions (the normal distribution, binomial...

beta distribution. Compounding a multinomial distribution with probability vector distributed according to a Dirichlet distribution yields a Dirichlet-multinomial...

_{k+1}>q_{1}+\ldots +q_{k}} . The inverted Dirichlet distribution is conjugate to the negative multinomial distribution if a generalized form of odds ratio is...

In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure...

binomial coefficient Partition (number theory) Twelvefold way Dirichlet-multinomial distribution Batterson, J. Competition Math for Middle School. Art of Problem...

and Dirichlet-multinomial distributions. Other examples of distributions that are not exponential families are the F-distribution, Cauchy distribution, hypergeometric...

velocity distributions. The Ellsberg paradox. Balls into bins Coin-tossing problems Coupon collector's problem Dirichlet-multinomial distribution Noncentral...

t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet negative multinomial distribution...

Combinatorial proof Dedekind-infinite set Dirichlet's approximation theorem Hilbert's paradox of the Grand Hotel Multinomial theorem Pochhammer symbol Ramsey's...

statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...

distributed. It is also known as the logistic normal distribution, which often refers to a multinomial logit version (e.g.). A variable might be modeled...

Direct relationship Directional statistics Dirichlet distribution Dirichlet-multinomial distribution Dirichlet process Disattenuation Discrepancy function...

\beta } red balls are observed. Negative binomial distribution Dirichlet negative multinomial distribution Johnson et al. (1993) Johnson, N.L.; Kotz, S.;...

Chi-squared distribution Dirichlet distribution F-distribution Gamma distribution Hotelling's T-squared distribution Student's t-distribution Wishart distribution...

The same issues apply to the Dirichlet distribution. β is rate or inverse scale. In parameterization of gamma distribution,θ = 1/β and k = α. This is the...

) given a fixed number of total occurrences Multinomial distribution, similar to the binomial distribution, but for counts of multi-way occurrences (e...

in latent profile analysis and latent class analysis as from a multinomial distribution. The manifest variables in factor analysis and latent profile analysis...

binomial distribution: The distribution of number of white balls observed until a fixed number black balls are observed. Dirichlet-multinomial distribution (also...