In this exercise, we prove the normalization of the Dirichle
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In this exercise, we prove the normalization of the Dirichlet distribution (2.38) using induction. We have already shown
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In this exercise, we prove the normalization of the Dirichlet distribution (2.38) using induction. We have already shown in Exercise 2.5 that the beta distribution, which is a special case of the Dirichlet for M = 2, is normalized. We now assume that the Dirichlet distribution is normalized for M ? 1 variables and prove that it is normalized for M variables. To do this, consider the Dirichlet distribution over M variables, and take account of the constraint M k=1
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