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On the failure probability of used coherent systems
Asadi, M ; Sharif University of Technology
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- Type of Document: Article
- DOI: 10.1080/03610926.2013.830744
- Abstract:
- In analyzing the lifetime properties of a coherent system, the concept of "signature" is a useful tool. Let T be the lifetime of a coherent system having n iid components. The signature of the system is a probability vector s=(s1, s2,., sn), such that s i=P(T=Xi:n), where, Xi:n, i=1, 2,., n denote the ordered lifetimes of the components. In this note, we assume that the system is working at time t>0. We consider the conditional signature of the system as a vector in which the ith element is defined as pi(t)=P(T=Xi: n|T>t) and investigate its properties as a function of time
- Keywords:
- Mathematical techniques ; Statistics ; K-out-of-n system ; Order statistics ; Residual lifetime ; Signature vectors ; Stochastic order ; Stochastic systems
- Source: Communications in Statistics - Theory and Methods ; Vol. 43, issue. 10-12 , May , 2014 , pp. 2468-2475 ; ISSN: 03610926
- URL: http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.830744#.VeV_Ln25JIE