(40 points) Let X1, .... X Lid. Uniform(0, 0). Let X() and X(n) be the smallest and largest order statistics of X], ..., X,. (i)
(40 points) Let X1, .... X Lid. Uniform(0, 0). Let X() and X(n) be the smallest and largest order statistics of X], ..., X,. (i) (10 points) Derive the joint distribution of X(1) and X(n)- (ii) (10 points) Find the MLE (0) for parameter 0. What are the bias and MSE of 0? Show you exact calculations
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