Question: 13. Let Xi (i = 1, .. . , s) be independently distributed with Poisson distribution P(A;), and let To = LXj, T; = Xi'

13. Let Xi (i = 1, .. . , s) be independently distributed with Poisson distribution P(A;), and let To = LXj, T; = Xi' A = LAj . Then To has the Poisson distribution P( A), and the conditional distribution of TI , . . . , 1;-I given To = to is the multinomial distribution (34) with n = to and p; = AjA. [Direct computation.)

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