Suppose that X,X,X, is a random sample from a distribution with pdf: f(x; 8) = [02"x-1. if2 1 0, elsewhere Furthermore, E(X,) = a) Find the method of moments estimator (MME) of e. b) Find the maximum likeihood estimator (MLE) of 0. c) Find the Fisher information for e in the sample. d) Find the Cramer-Rao lower bound for an unbiased estimator of 0. e) Suppose that the 10 independent observations,

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