Suppose that the random variables X1, . . . , Xk are independent and that Xi has

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Suppose that the random variables X1, . . . , Xk are independent and that Xi has the Poisson distribution with mean λi (i = 1, . . . , k). Show that for each fixed positive integer n, the conditional distribution of the random vector X = (X1, . . . , Xk), given that = n, is the multinomial distribution with parameters n and p = (p1, . . . , pk), where
for i = 1. ..., k. Σ Pi=
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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