Reference : On signature-based expressions of system reliability
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Civil engineering
Security, Reliability and Trust
http://hdl.handle.net/10993/6903
On signature-based expressions of system reliability
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Mathonet, Pierre mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Waldhauser, Tamás mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Nov-2011
Journal of Multivariate Analysis
Elsevier
102
10
1410-1416
Yes
International
0047-259X
[en] system signature ; system reliability ; coherent system ; order statistic
[en] The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors of systems. In particular, it provides an interesting signature-based representation of the system reliability in terms of reliabilities of k-out-of-n systems. In the non-i.i.d. case, we show that, at any time, this representation still holds true for every coherent system if and only if the component states are exchangeable. We also discuss conditions for obtaining an alternative representation of the system reliability in which the signature is replaced by its non-i.i.d. extension. Finally, we discuss conditions for the system reliability to have both representations.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/6903
10.1016/j.jmva.2011.05.007
http://arxiv.org/abs/1010.0162

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