Question: Let X = (X1,...,Xm)t follow a multinomial distribution with n trials and m categories. If the success probability for category i is i for 1

Let X = (X1,...,Xm)t follow a multinomial distribution with n trials and m categories. If the success probability for category i is θi for 1 ≤ i ≤ m − 1 and 1 − m−1 j=1 θj for i = m, then show that X has expected information

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