Suppose that the distribution of a random variable X is symmetric with respect to the point x

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Suppose that the distribution of a random variable X is symmetric with respect to the point x = 0, 0 < E(X4) < ∞, and Y = X2. Show that X and Y are uncorrelated.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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