Let X 1 and X 2 be two independent random variables. Let X 1 and Y =

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Let X1 and X2 be two independent random variables. Let X1 and Y = X1+X2 be χ2(r1, θ1) and χ2(r, θ), respectively. Here r1 < r and θ1 ≤ θ. Show that X2 is χ2(r − r1, θ − θ1).

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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