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Assume that the population is uniform on the interval (0, ), > 0. (1) Construct the method-of-moments and the MLE of . Is MLE asymptotically

Assume that the population is uniform on the interval (0, ), > 0. (1) Construct the method-of-moments and the MLE of . Is MLE asymptotically normal? (2) Confirm that X(n) is a sufficient statistic for and construct the MVUE of . (3) Compute the efficiency of MVUE relative to the method-of-moments estimator

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