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

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

Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a multivariate extension of the beta negative binomial...

the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers. It...

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

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

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

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

and in fact, the Dirichlet distribution is the conjugate prior of the categorical distribution and multinomial distribution. The infinite-dimensional generalization...

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

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

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

_{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 used...

binomial theorem from binomials to multinomials. For any positive integer m and any non-negative integer n, the multinomial theorem describes how a sum with...

distribution and multinomial distribution; generalization of the beta distribution Wishart distribution, for a symmetric non-negative definite matrix;...

formulation of the multinomial logit model — common in discrete choice theory — the errors of the latent variables follow a Gumbel distribution. This is useful...

the game. Noncentral hypergeometric distributions Negative hypergeometric distribution Multinomial distribution Sampling (statistics) Generalized hypergeometric...

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

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

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

In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more...

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...

Nearest-neighbor chain algorithm Negative binomial distribution Negative multinomial distribution Negative predictive value Negative relationship Negentropy Neighbourhood...

{\displaystyle \ F(\ x;\ -\ln \sigma ,\ {\tfrac {\ 1\ }{\alpha }},\ 0\ )~.} Multinomial logit models, and certain other types of logistic regression, can be...

probability distribution of K possible outcomes. It is a generalization of the logistic function to multiple dimensions, and is used in multinomial logistic...

different colors instead of only two. Dirichlet negative multinomial distribution: The distribution over the number of balls of each color until a fixed...

Poisson model. The traditional negative binomial regression model is based on the Poisson-gamma mixture distribution. This model is popular because it...

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

Dirichlet-multinomial distribution. Compounding a Poisson distribution with rate parameter distributed according to a gamma distribution yields a negative binomial...

elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively...