High Quality Content by WIKIPEDIA articles! In probability theory, a Dirichlet process is a stochastic process that can be thought of as a probability distribution whose domain is itself a random distribution. That is, given a Dirichlet process , where M (the base distribution) is an arbitrary distribution and (the concentration parameter) is a positive real number, a draw from will return a random distribution (the output distribution) containing values drawn from M. That is, the support of the output distribution is the same as the base distribution. The output distribution will be discrete, meaning that individual values drawn from the distribution will sometimes repeat themselves even if the base distribution is continuous (i.e. two different draws from the base distribution will be distinct with probability one).

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