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1. Assume that, for all values of i and j, and define E{Y} = var{Y} = cov {Y,Y}=0 for i*j = (1/3 + 8)Y

1. Assume that, for all values of ( mathrm{i} ) and ( mathrm{j} ), [ begin{array}{l} Eleft{Y_{i}ight}=mu  op

1. Assume that, for all values of i and j, and define E{Y} = var{Y} = cov {Y,Y}=0 for i*j = (1/3 + 8)Y + (1/3 8) Y + 1/3 Y a. Calculate E{}, var{p}, and MSE{p}. b. Is an unbiased estimator of ? c. Assume that additional sample data would be treated like y, - i.e., for N= 4, would become (1/4 + 8) Y, +(1/4-8) Y + 1/4 Y3 + 1/4 Y Is an unbiased estimator of u in that case? d. Assuming that the parameter 8 is non-zero, is BLU or efficient for u? For what value or values of 8 could be BLU for u?

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