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Verify that the three conditions of Lemma 8.3.3 are actually satisfied in the case of a quadratic loss,

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for every positive-definite matrix Q.

(Clevenson and Zidek (1975)) Consider (x1,…,xn) distributed as independent Poisson random variables, Best Essay Writing Services | EssayBureau.com

a. Use a sequence of conjugate priors and Blyth’s method to show that Best Essay Writing Services | EssayBureau.com xi is an admissible estimator of λi under quadratic loss.

b. For Best Essay Writing Services | EssayBureau.com show that

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and deduce that Best Essay Writing Services | EssayBureau.com  is an inadmissible estimator of λ = (λ1,…,λn).

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