• probability theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two...
    8 KB (1,148 words) - 16:24, 10 June 2025
  • 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) - 18:15, 11 April 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 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 Joint probability distribution
    multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution. Bayesian...
    19 KB (3,111 words) - 19:06, 23 April 2025
  • t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet negative multinomial distribution...
    22 KB (2,620 words) - 07:59, 2 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 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
  • 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 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
  • 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
  • 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...
    19 KB (2,858 words) - 16:26, 19 March 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 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 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 Hypergeometric distribution
    the game. Noncentral hypergeometric distributions Negative hypergeometric distribution Multinomial distribution Sampling (statistics) Generalized hypergeometric...
    29 KB (4,095 words) - 17:58, 13 May 2025
  • 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...
    21 KB (2,593 words) - 12:56, 25 June 2025
  • 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
  • {\displaystyle \ F(\ x;\ -\ln \sigma ,\ {\tfrac {\ 1\ }{\alpha }},\ 0\ )~.} Multinomial logit models, and certain other types of logistic regression, can be...
    26 KB (3,823 words) - 21:58, 3 April 2025
  • Poisson, Bernoulli, and (for fixed number of trials) binomial, multinomial, and negative binomial. For scalar y {\displaystyle \mathbf {y} } and θ {\displaystyle...
    31 KB (4,231 words) - 04:22, 20 April 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
  • 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
  • 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
  • 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
  • In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more...
    31 KB (5,225 words) - 12:07, 3 March 2025
  • 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...
    127 KB (20,641 words) - 09:18, 24 June 2025
  • Thumbnail for Probability mass function
    Probability mass function (category Types of probability distributions)
    (also known as the generalized Bernoulli distribution) and the multinomial distribution. If the discrete distribution has two or more categories one of which...
    10 KB (1,539 words) - 19:51, 12 March 2025
  • different colors instead of only two. Dirichlet negative multinomial distribution: The distribution over the number of balls of each color until a fixed...
    16 KB (3,099 words) - 19:44, 26 June 2025