On likelihood-ratio ordering of order statistics

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Abstract

Let X1,..., Xnbe independent random variables such that X1< lr X2< lr ... < lr Xn, where < lr denotes likelihood-ratio ordering. It is shown that, under mild assumptions, the corresponding order statistics X1≤ ... ≤ X(n) are similarly ordered, i.e., X(1)< lr X(2)< lr ... < lr X(n). © 1994.

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Bapat, R. B., & Kochar, S. C. (1994). On likelihood-ratio ordering of order statistics. Linear Algebra and Its Applications, 199(SUPPL. 1), 281–291. https://doi.org/10.1016/0024-3795(94)90353-0

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