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Let X1, . .., Xn ~ iid Exp(/), and we consider two estimators the MLE 0 = Xn and 8(x) = nX(1). (a) Find the
Let X1, . .., Xn ~ iid Exp(/), and we consider two estimators the MLE 0 = Xn and 8(x) = nX(1). (a) Find the sampling distribution of the estimator d(x) = nX(1). (b) Determine the bias of these two estimators. (c) Compare the MSE of the two estimators. (d) Why was it obvious that I would dominate d(x) before performing the calculations in (b)
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