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Probability inequalities via negative dependence for random variables conditioned on order statistics

Henry W. Block, Vanderlei Bueno, Thomas H. Savits and Moshe Shaked

Naval Research Logistics (NRL), 1987, vol. 34, issue 4, 547-554

Abstract: Distributions are studied which arise by considering independent and identically distributed random variables conditioned on events involving order statistics. It is shown that these distributions are negatively dependent in a very strong sense. Furthermore, bounds are found on the distribution functions. The conditioning events considered occur naturally in reliability theory as the time to system failure for k‐out‐of‐n systems. An application to systems formed with “second‐hand” components is given.

Date: 1987
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Citations: View citations in EconPapers (3)

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https://doi.org/10.1002/1520-6750(198708)34:43.0.CO;2-B

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:34:y:1987:i:4:p:547-554

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