Generalized Dirichlet Distribution - Bayesian Analysis

Bayesian Analysis

Suppose is generalized Dirichlet, and that is multinomial with trials (here ). Writing for and the joint posterior of is a generalized Dirichlet distribution with

X|Y\sim GD_k\left( {\alpha'}_1,\ldots,{\alpha'}_k; {\beta'}_1,\ldots,{\beta'}_k \right)

where and for

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