• probability theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two...
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  • In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts...
    39 KB (6,414 words) - 09:01, 5 July 2025
  • Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a multivariate extension of the beta negative binomial...
    10 KB (1,904 words) - 00:28, 8 March 2025
  • the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers. It...
    39 KB (6,950 words) - 22:13, 25 November 2024
  • Thumbnail for Negative binomial distribution
    negative binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound...
    55 KB (8,245 words) - 10:14, 17 June 2025
  • Thumbnail for Joint probability distribution
    multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution. Bayesian...
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  • t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet negative multinomial distribution...
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  • Thumbnail for Beta-binomial distribution
    Dirichlet-multinomial distribution as the binomial and beta distributions are univariate versions of the multinomial and Dirichlet distributions respectively...
    15 KB (2,348 words) - 10:56, 15 June 2025
  • Thumbnail for Poisson distribution
    discrete compound Poisson distribution can be deduced from the limiting distribution of univariate multinomial distribution. It is also a special case...
    81 KB (11,215 words) - 08:39, 14 May 2025
  • {\displaystyle \beta } red balls are observed. Negative binomial distribution Dirichlet negative multinomial distribution Johnson et al. (1993) Johnson, N.L.; Kotz...
    10 KB (1,541 words) - 10:19, 10 June 2025
  • Thumbnail for Dirichlet distribution
    of the categorical distribution and multinomial distribution. The infinite-dimensional generalization of the Dirichlet distribution is the Dirichlet process...
    49 KB (7,756 words) - 15:35, 23 June 2025
  • 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...
    11 KB (2,294 words) - 19:54, 25 June 2025
  • Thumbnail for Gumbel distribution
    formulation of the multinomial logit model — common in discrete choice theory — the errors of the latent variables follow a Gumbel distribution. This is useful...
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  • Thumbnail for Probability distribution
    distribution and multinomial distribution; generalization of the beta distribution Wishart distribution, for a symmetric non-negative definite matrix;...
    48 KB (6,688 words) - 17:43, 6 May 2025
  • _{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...
    5 KB (735 words) - 17:58, 26 January 2024
  • Thumbnail for Beta distribution
    Bernoulli distributions in exactly the same way as the Dirichlet distribution is conjugate to the multinomial distribution and categorical distribution. The...
    245 KB (40,559 words) - 20:35, 30 June 2025
  • Thumbnail for Chi-squared distribution
    showed that the chi-squared distribution arose from such a multivariate normal approximation to the multinomial distribution, taking careful account of...
    45 KB (6,817 words) - 10:25, 19 March 2025
  • Thumbnail for Hypergeometric distribution
    the game. Noncentral hypergeometric distributions Negative hypergeometric distribution Multinomial distribution Sampling (statistics) Generalized hypergeometric...
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  • Thumbnail for Boltzmann distribution
    political, and economic contexts. The Boltzmann distribution has the same form as the multinomial logit model. As a discrete choice model, this is very...
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  • {\displaystyle \ F(\ x;\ -\ln \sigma ,\ {\tfrac {\ 1\ }{\alpha }},\ 0\ )~.} Multinomial logit models, and certain other types of logistic regression, can be...
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  • Dirichlet-multinomial distribution. Compounding a Poisson distribution with rate parameter distributed according to a gamma distribution yields a negative binomial...
    19 KB (2,710 words) - 19:38, 20 June 2025
  • Poisson, Bernoulli, and (for fixed number of trials) binomial, multinomial, and negative binomial. For scalar y {\displaystyle \mathbf {y} } and θ {\displaystyle...
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  • Nearest-neighbor chain algorithm Negative binomial distribution Negative multinomial distribution Negative predictive value Negative relationship Negentropy Neighbourhood...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • Thumbnail for Logit-normal distribution
    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...
    12 KB (1,697 words) - 18:24, 20 June 2025
  • Thumbnail for Binomial distribution
    Mathematics portal Logistic regression Multinomial distribution Negative binomial distribution Beta-binomial distribution Binomial measure, an example of a...
    53 KB (7,554 words) - 03:55, 26 May 2025
  • which multinomial logit and nested logit belong Conditional probit - Allows full covariance among alternatives using a joint normal distribution. Mixed...
    47 KB (6,349 words) - 19:27, 23 June 2025
  • Thumbnail for Multivariate normal distribution
    statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...
    65 KB (9,594 words) - 15:19, 3 May 2025
  • In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more...
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  • Thumbnail for Logistic regression
    dog, lion, etc.), and the binary logistic regression generalized to multinomial logistic regression. If the multiple categories are ordered, one can...
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  • representation of an integer Mahler's theorem Multinomial distribution Multinomial coefficient, Multinomial formula, Multinomial theorem Multiplicities of entries...
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