Suppose that X is a random variable whose distribution is
Chapter 8, Problem 2(choose chapter or problem)
Suppose that X is a random variable whose distribution is completely unknown, but it is known that all the moments E(Xk), for k = 1, 2,..., are finite. Suppose also that X1,...,Xn form a random sample from this distribution. Show that for k = 1, 2,..., the kth sample moment (1/n) n i=1 Xk i is an unbiase
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