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...

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

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

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

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

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

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...

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

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

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

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

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

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

political, and economic contexts. The Boltzmann distribution has the same form as the multinomial logit model. As a discrete choice model, this is very...

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})}...

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

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

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

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

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

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

w_{i,j}\sim \operatorname {Multinomial} (\varphi _{z_{i,j}}).} (Note that multinomial distribution here refers to the multinomial with only one trial, which...

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

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

(3). Ostrovski, Vladimir (May 2017). "Testing equivalence of multinomial distributions". Statistics & Probability Letters. 124: 77–82. doi:10.1016/j...

representation of an integer Mahler's theorem Multinomial distribution Multinomial coefficient, Multinomial formula, Multinomial theorem Multiplicities of entries...

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

probability of each diploid–diploid combination, which follows a multinomial distribution with k = 3. For example, the probability of the mating combination...