theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative...
39 KB (6,950 words) - 06:55, 17 September 2024
statistics, and in fact, the Dirichlet distribution is the conjugate prior of the categorical distribution and multinomial distribution. The infinite-dimensional...
41 KB (6,539 words) - 11:38, 8 August 2024
In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts...
39 KB (6,409 words) - 07:59, 12 September 2024
It connects the categorical distribution with the related multinomial distribution. It shows why the Dirichlet distribution is the conjugate prior of the...
25 KB (4,008 words) - 04:13, 25 June 2024
probability theory and statistics, the Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a...
10 KB (1,904 words) - 20:40, 27 August 2023
the Dirichlet-multinomial distribution as the binomial and beta distributions are univariate versions of the multinomial and Dirichlet distributions respectively...
14 KB (2,206 words) - 22:47, 29 July 2024
theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two outcomes...
8 KB (1,148 words) - 07:57, 5 February 2023
the article on the Dirichlet-multinomial distribution, as part of a more general discussion of integrating Dirichlet distribution priors out of a Bayesian...
42 KB (7,237 words) - 04:41, 2 April 2024
_{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...
5 KB (735 words) - 17:58, 26 January 2024
In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure...
8 KB (1,861 words) - 19:41, 12 November 2023
Bernoulli distributions in exactly the same way as the Dirichlet distribution is conjugate to the multinomial distribution and categorical distribution. The...
243 KB (40,380 words) - 08:10, 19 June 2024
beta-binomial distribution and Dirichlet-multinomial distribution are all predictive distributions of exponential-family distributions (the normal distribution, binomial...
16 KB (2,510 words) - 17:47, 24 February 2024
Dirichlet prior, and the joint distribution of these variables after collapsing is a Dirichlet-multinomial distribution. The conditional distribution...
37 KB (6,144 words) - 02:30, 20 June 2024
average Dirichlet distribution (probability theory) Dirichlet-multinomial distribution Dirichlet negative multinomial distribution Generalized Dirichlet distribution...
3 KB (224 words) - 16:08, 20 March 2022
binomial coefficient Partition (number theory) Twelvefold way Dirichlet-multinomial distribution Batterson, J. Competition Math for Middle School. Art of Problem...
14 KB (1,872 words) - 14:39, 16 August 2024
generalization of the binomial distribution Multivariate hypergeometric distribution, similar to the multinomial distribution, but using sampling without...
47 KB (6,403 words) - 14:52, 16 August 2024
beta distribution. Compounding a multinomial distribution with probability vector distributed according to a Dirichlet distribution yields a Dirichlet-multinomial...
19 KB (2,698 words) - 11:45, 26 July 2024
t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet negative multinomial distribution...
22 KB (2,609 words) - 12:49, 10 February 2024
binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson...
57 KB (8,530 words) - 22:12, 27 September 2024
Exponential family (category Continuous distributions)
and Dirichlet-multinomial distributions. Other examples of distributions that are not exponential families are the F-distribution, Cauchy distribution, hypergeometric...
83 KB (11,136 words) - 09:14, 17 September 2024
velocity distributions. The Ellsberg paradox. Balls into bins Coin-tossing problems Coupon collector's problem Dirichlet-multinomial distribution Noncentral...
6 KB (884 words) - 11:34, 11 August 2024
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 (1,694 words) - 23:19, 7 September 2024
Pigeonhole principle (redirect from Dirichlet's Box Principle)
Combinatorial proof Dedekind-infinite set Dirichlet's approximation theorem Hilbert's paradox of the Grand Hotel Multinomial theorem Pochhammer symbol Ramsey's...
31 KB (4,140 words) - 14:39, 28 September 2024
Direct relationship Directional statistics Dirichlet distribution Dirichlet-multinomial distribution Dirichlet process Disattenuation Discrepancy function...
87 KB (8,280 words) - 13:54, 14 September 2024
statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...
65 KB (9,519 words) - 19:30, 12 August 2024
binomial distribution: The distribution of number of white balls observed until a fixed number black balls are observed. Dirichlet-multinomial distribution (also...
16 KB (3,095 words) - 01:27, 17 September 2024
Conjugate prior (redirect from Conjugate prior distribution)
The same issues apply to the Dirichlet distribution. β is rate or inverse scale. In parameterization of gamma distribution,θ = 1/β and k = α. This is the...
33 KB (2,251 words) - 16:48, 16 May 2024
\beta } red balls are observed. Negative binomial distribution Dirichlet negative multinomial distribution Johnson et al. (1993) Johnson, N.L.; Kotz, S.;...
10 KB (1,537 words) - 09:13, 15 April 2024
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})}...
40 KB (5,749 words) - 12:30, 23 September 2024
probability distribution of K possible outcomes. It is a generalization of the logistic function to multiple dimensions, and used in multinomial logistic...
30 KB (4,737 words) - 14:25, 25 September 2024