Dirichlet updating

Topic: Categorical data and the Dirichlet distribution · more questions on this topic
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Beginning with Equation (1) in Categorical data and the Dirichlet distribution and Equation (2) in Categorical data and the Dirichlet distribution, retain every factor involving {\boldsymbol{p}} and derive the posterior parameters. Then derive the posterior predictive probability that one new observation falls in category k.

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