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The conjugate prior of the multinomial distribution is Dirichlet -- it is a distribution over the parameters (the probabilities of outcomes) of the multinomial. Define (the 1 represents the non-informative prior belief that all outcomes probability vectors are equiprobable.) And then integrate over the region of the pdf that you're interested in. I can expand on this answer if you like. |
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The conjugate prior of the multinomial distribution is Dirichlet -- it is a distribution over the parameters (the probabilities of outcomes) of the multinomial. Define (the 1 represents the non-informative prior belief that all outcomes are equiprobable.) And then integrate over the region of the pdf that you're interested in. I can expand on this answer if you like. |
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