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{title2=$\operatorname{DP}(\alpha,G_0)$}
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A Dirichlet process is a distribution over probability measures such that the masses assigned to every finite measurable partition have a <Dirichlet distribution>. Its draws are almost surely discrete.


Dirichlet process

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{title2=$\operatorname{Dir}(\alpha_1,\ldots,\alpha_K)$}
{wiki}

The Dirichlet distribution is a probability distribution on vectors $(p_1,\ldots,p_K)$ with nonnegative entries summing to one and density proportional to $\prod_kp_k^{\alpha_k-1}$.


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 Incoming links: Dirichlet distribution