On the reversed hazard rate of sequential order statistics

Marco Burkschat and Nuria Torrado

Statistics & Probability Letters, 2014, vol. 85, issue C, 106-113

Abstract: Sequential order statistics can be used to describe the lifetime of a system with n components which works as long as k components function assuming that failures possibly affect the lifetimes of remaining units. In this work, the reversed hazard rates of sequential order statistics are examined. Conditions for the reversed hazard rate ordering and the decreasing reversed hazard rate property of sequential order statistics are given.

Keywords: Sequential order statistics; Stochastic orderings; Ageing properties; DRHR (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spl.2013.11.015

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