Let {X1, X2, X3,...} be a sequence of zero-mean dependent random variables such that, 1 ni-j...

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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 = X1₁ + X₂ + ... + Xn and c is some constant? If yes, find the value of c. 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 = X1₁ + X₂ + ... + Xn and c is some constant? If yes, find the value of c.

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