Prove that if Var(X) < and Var(Y) < , then Cov(X, Y) is finite. By considering

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Prove that if Var(X) < ∞ and Var(Y) < ∞, then Cov(X, Y) is finite. By considering the relation [(X − μX) ± (Y − μY)]2 ≥ 0, show that
|(X − μX)(Y − μY )| ≤ 1/2 [(X − μX)2 + (Y − μY )2].

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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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Question Posted: Nov 25, 2015 03:34 AM

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Prove that if Var(X) < and Var(Y) < , then Cov(X, Y) is finite. By considering

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