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 distribution with probability vector **p**. The compounding corresponds to a Polya urn scheme. In document classification, for example, the distribution is used to represent the distributions of word counts for different document types.

Read more about Dirichlet-multinomial Distribution: Probability Mass Function, Related Distributions, Uses

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**Dirichlet-multinomial Distribution**- Uses

... The multivariate Pólya

**distribution**is used in automated document classification and clustering, genetics, economy, combat modeling, and quantitative marketing ...

### Famous quotes containing the word distribution:

“There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the *distribution* of wholes into causal series.”

—Ralph Waldo Emerson (1803–1882)