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Coherent systems based on sequential order statistics
Author(s) -
Navarro Jorge,
Burkschat Marco
Publication year - 2011
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.20445
Subject(s) - representation (politics) , stochastic ordering , context (archaeology) , signature (topology) , order statistic , computer science , component (thermodynamics) , order (exchange) , hazard , theoretical computer science , mathematics , statistics , physics , geometry , paleontology , chemistry , organic chemistry , finance , politics , political science , law , economics , biology , thermodynamics
Abstract The sequential order statistics (SOS) are a good way to model the lifetimes of the components in a system when the failure of a component at time t affects the performance of the working components at this age t . In this article, we study properties of the lifetimes of the coherent systems obtained using SOS. Specifically, we obtain a mixture representation based on the signature of the system. This representation is used to obtain stochastic comparisons. To get these comparisons, we obtain some ordering properties for the SOS, which in this context represent the lifetimes of k ‐out‐of‐ n systems. In particular, we show that they are not necessarily hazard rate ordered. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011