Reference : Extensions of system signatures to dependent lifetimes: Explicit expressions and interpr...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/91467
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations
English
Marichal, Jean-Luc mailto [University of Luxembourg > FSTC > Mathematics Research Unit > >]
Mathonet, Pierre mailto [Universty of Luxembourg > FSTC > Mathematics Research Unit > >]
2011
Journal of Multivariate Analysis
Academic Press
102
931-936
Yes (verified by ORBi)
International
0047-259X
[en] System Signature ; System Reliability ; Semicoherent System ; Order Statistic
[en] The concept of system signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. We consider its extension to the continuous dependent case and give an explicit expression for this extension as a difference of weighted means of the structure function values. We then derive a formula for the computation of the coefficients of these weighted means in the special case of independent continuous
lifetimes. Finally, we interpret this extended concept of signature through a natural least squares approximation problem.
Researchers
http://hdl.handle.net/2268/91467
10.1016/j.jmva.2011.01.010

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