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

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

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

of a die. On the other hand, the categorical distribution is a special case of the multinomial distribution, in that it gives the probabilities of potential...

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

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

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

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

showed that the chi-squared distribution arose from such a multivariate normal approximation to the multinomial distribution, taking careful account of...

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

multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution. Bayesian...

Multinomial may refer to: Multinomial theorem, and the multinomial coefficient Multinomial distribution Multinomial logistic regression Multinomial test...

relationship to the multinomial distribution that the hypergeometric distribution has to the binomial distribution—the multinomial distribution is the "with-replacement"...

discrete compound Poisson distribution can be deduced from the limiting distribution of univariate multinomial distribution. It is also a special case...

numbers are sampled from a multinomial distribution M u l t i n o m i a l ( N ; p 1 , . . . , p n ) {\displaystyle \mathrm {Multinomial} (N;p_{1},...,p_{n})}...

and unbiased distribution of emissions permits among multiple countries. The Boltzmann distribution has the same form as the multinomial logit model....

In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization...

of the sum of independent Bernoulli random variables and of the multinomial distribution". In Gani, J.; Rohatgi, V.K. (eds.). Contributions to probability:...

binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson...

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

Mathematics portal Logistic regression Multinomial distribution Negative binomial distribution Beta-binomial distribution Binomial measure, an example of a...

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

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

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

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

of the K possible values. For the multinomial distribution, and for the vector form of the categorical distribution, the expected values of the elements...

(also known as the generalized Bernoulli distribution) and the multinomial distribution. If the discrete distribution has two or more categories one of which...

Multinomial test is the statistical test of the null hypothesis that the parameters of a multinomial distribution equal specified values; it is used for...

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...

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