Reference : On signature-based expressions of system reliability
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/92356
On signature-based expressions of system reliability
English
Marichal, Jean-Luc mailto [University of Luxembourg > FSTC > Mathematics Research Unit > >]
Mathonet, Pierre mailto [University of Luxembourg > FSTC > Mathematics Research Unit > >]
Waldhauser, Tamás mailto [University of Luxembourg > FSTC > Mathematics Research Unit > > >]
2011
Journal of Multivariate Analysis
Academic Press
102
10
1410-1416
Yes (verified by ORBi)
International
0047-259X
[en] System Signature ; Coherent System ; Order Statistic ; System Reliability
[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.
Researchers
http://hdl.handle.net/2268/92356

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