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On the reversed hazard rate of sequential order statistics

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Bibliographic Details
Summary: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.
Main Authors:Burkschat, Marco
Other Authors:Torrado, Nuria
Subject:Sequential order statistics Stochastic orderings Ageing properties DRHR
Year:2014
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade de Coimbra
Language:English
Origin:Estudo Geral - Universidade de Coimbra
Description
Summary: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.