Let X1,, X, denote a random sample of size n from the population with probability density function 16) = {** 38-4, r2 B 0, otherwise where 3> 0 is the population parameter we want to estimate. Consider the estimator B = min(X1,,X„). [The estimator is the 1st-order order statistic of the random sample.] (a) Derive the bias of the estimator 3. (b) Derive the mean squared error of 3, MSE(3).

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