Let Y1, ..., = Problem 4. (30 points) the follwoing results are ture for all integers n>1. to simplify the calculation,

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Let Y1 Problem 4 30 Points The Follwoing Results Are Ture For All Integers N 1 To Simplify The Calculation 1 (44.96 KiB) Viewed 48 times

Let Y1, ..., = Problem 4. (30 points) the follwoing results are ture for all integers n>1. to simplify the calculation, you only need to calculate or prove the case of n=2 Yn denote a random sample from the uniform distribution on the interval (0,0 + 1). let 67 = Y - and 62 = Y(n)- (n) A) Find the pdf of Y (2) B) Show that both 1 and 2 are unbiased estimator of e. C) Show that both 1 and 2 are consistent estimators for 0. D) Find the efficiency of @ relative to 1 n n+1 2 (Note: Y(n)=max(Y1, Y2 ..., Yn))