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Frailty. Let X, Y be independent, positive, continuous random variables, such that 1 - Fy(y) = (1 - Fx(y)) fory > 0. The positive number

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Frailty. Let X, Y be independent, positive, continuous random variables, such that 1 - Fy(y) = (1 - Fx(y)) fory > 0. The positive number A may be called the frailty or proportional hazard. In more general models, A may itself be a random variable. Show that A P(X > Y) = AP(Y > X) = 1+x

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