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2. (25 points) Given the random sample X,..., X, from po(x), where po(x) = (2) (1-0)- for x = -1,0, 1 (a) Find sufficient

 

2. (25 points) Given the random sample X,..., X, from po(x), where po(x) = (2) (1-0)- for x = -1,0, 1 (a) Find sufficient statistic of 0. (b) Let T(X) be the sufficient statistic, =cT(X) and c a constant. Find c such that is an unbiased estimator for 0 (c) Find MSE(0).

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a The sufficient statistic of is the sample mean of X 1 X n den oted by T X X 1 X n n b In order f o... blur-text-image

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