On the dependence between the extreme order statistics in the proportional hazards model

Let X 1 , … , X n be a random sample from an absolutely continuous distribution with non-negative support, and let Y 1 , … , Y n be mutually independent lifetimes with proportional hazard rates. Let also X ( 1 ) < ⋯ < X ( n ) and Y ( 1 ) < ⋯ < Y ( n ) be their associated order statistics...

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