## Multinomial Distribution

In probability theory, the **multinomial distribution** is a generalization of the binomial distribution.

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### Some articles on multinomial distribution:

Categorical Distribution

... A categorical

... A categorical

**distribution**is a discrete probability**distribution**whose sample space is the set of k individually identified items ... It is the generalization of the Bernoulli**distribution**for a categorical random variable ... In one formulation of the**distribution**, the sample space is taken to be a finite sequence of integers ...**Multinomial Distribution**- Related Distributions

... When k = 2, the

**multinomial distribution**is the binomial

**distribution**... The continuous analogue is Multivariate normal

**distribution**... Categorical

**distribution**, the

**distribution**of each trial for k = 2, this is the Bernoulli

**distribution**...

Dirichlet-

... For a random vector of category counts, distributed according to a

**multinomial Distribution**- Probability Mass Function - For A**Multinomial Distribution**Over Category Counts... For a random vector of category counts, distributed according to a

**multinomial distribution**, the marginal**distribution**is obtained by integrating out p which results in the following explicit formula ... term at the front that looks like the factor at the front of a**multinomial distribution**... Another form for this same compound**distribution**, written more compactly in terms of the beta function, B, is as follows ...Variational Bayesian Methods - A More Complex Example

... model described as follows Note SymDir is the symmetric Dirichlet

... model described as follows Note SymDir is the symmetric Dirichlet

**distribution**of dimension, with the hyperparameter for each component set to ... The Dirichlet**distribution**is the conjugate prior of the categorical**distribution**or**multinomial distribution**... is the Wishart**distribution**, which is the conjugate prior of the precision matrix (inverse covariance matrix) for a multivariate Gaussian**distribution**...Dirichlet-

... In probability and statistics, the Dirichlet-

**multinomial Distribution**... In probability and statistics, the Dirichlet-

**multinomial distribution**is a probability**distribution**for a multivariate discrete random variable ... It is also called the Dirichlet compound**multinomial distribution**(DCM) or multivariate Pólya**distribution**, which is named after George Pólya) ... It is a compound probability**distribution**, where a probability vector p is drawn from a Dirichlet**distribution**with parameter vector, and a set of discrete samples is drawn from the categorical ...### Famous quotes containing the word distribution:

“In this *distribution* of functions, the scholar is the delegated intellect. In the right state, he is, Man Thinking. In the degenerate state, when the victim of society, he tends to become a mere thinker, or, still worse, the parrot of other men’s thinking.”

—Ralph Waldo Emerson (1803–1882)

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