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(20 points). Let ,.., X, be a random sample from the distribution of a random variable X with pdf: n f(x)= 2x (0.0)(x), 0>0.
(20 points). Let ,.., X, be a random sample from the distribution of a random variable X with pdf: n f(x)= 2x (0.0)(x), 0>0. (a) Show that = X2 is an unbiased estimator of . (b) Find the Cramer-Rao lower bound for the variance of = x. (c) Find the Fisher efficient estimator of 0. (d) Find the uniformly minimum variance unbiased estimator (UMVUE) of 0.
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Linear Algebra
Authors: Jim Hefferon
1st Edition
978-0982406212, 0982406215
