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Let Y1, . . . , Yn be a sample from the Uniform density on [0, ]. Let 1 = max(Y1, . . . ,

Let Y1, . . . , Yn be a sample from the Uniform density on [0, ]. Let 1 = max(Y1, . . . , Yn) and 2 = min(Y1, . . . , Yn).

(a) Find unbiased estimators 1 and 2 that are multiples of 1 and 2 respectively.

(b) Calculate the relative efficiency of 2 to 1.

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