Question: Let U = X1:n and let V = Xn:n in a random sample from U[ 1, + 1] distribution. (i) Show that X and

Let U = X1:n and let V = Xn:n in a random sample from U[θ − 1,θ + 1] distribution. (i) Show that X and (U + V )/2 are both unbiased estimators of θ. (ii) Determine the MSE’s of estimators in (i).

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