Find the observed and expected information matrix for 0 and hence show how to obtain the MI. for 8.

a. Let be independent poison random variables with means
p. Show that = log,p, is the natural parameter of the poison distribution-
(a) Show that T = X’Y is a vector of sal..m statistic for 0. (13)

Find the score vector for /3.

(c) Find the observed and expected poison distributionfor 0 and hence show how to obtain the MI. for 8.

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