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I am studying Latent Dirichlet Allocation (LDA), but I don't have much knowledge of stochastic processes.

From Wikipedia:

LDA assumes the following generative process for a corpus $D$ consisting of $M$ documents each of length $N_{i}$:

  1. Choose $\theta _{i}\sim \operatorname {Dir} (\alpha )$, where $i\in \{1,\dots ,M\}$ and $\mathrm {Dir} (\alpha )$ is a Dirichlet distribution with a symmetric parameter $\alpha$

My question is this: why Dirichlet distribution? Are there any particular properties of this distribution that make it suitable for this model?

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