Prove that if the variables (xi) and (eta) are independent and distributed in accordance with the chi-square

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Prove that if the variables \(\xi\) and \(\eta\) are independent and distributed in accordance with the chi-square law with parameters \(m\) and \(n\), then the variables \(\delta=\frac{\xi}{\eta}\) and \(\zeta=\xi+\eta\) are independent.

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Theory Of Probability

ISBN: 9781351408585

6th Edition

Authors: Boris V Gnedenko

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