Let U1 and U2 be independent random variables. Suppose that U1 is X2 with v1 degrees of

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Let U1 and U2 be independent random variables. Suppose that U1 is X2 with v1 degrees of freedom while U = U1 + U2 is chi-square with v degrees of freedom, where v > v1. Then prove that U2 is chi-square random variable with v – v1 degrees of freedom.
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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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