Question
Let {X1, X2, X3,...} be a sequence of zero-mean dependent random variables such that, 1 ni-j cov (Xi, Xj) = Notice that as |ij|
Let {X1, X2, X3,...} be a sequence of zero-mean dependent random variables such that, 1 ni-j cov (Xi, Xj) = Notice that as |ij| increases, the covariance between X; and X; decreases. Is it true that (Sn/n)c, where Sn = X1 + X + ... + Xn and c is some constant? If yes, find the value of c.
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Probability And Statistics
Authors: Morris H. DeGroot, Mark J. Schervish
4th Edition
9579701075, 321500466, 978-0176861117, 176861114, 978-0134995472, 978-0321500465
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