2009
DOI: 10.1002/nav.20370
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Dynamic signatures and their use in comparing the reliability of new and used systems

Abstract: Abstract:The signature of a system with independent and identically distributed (i.i.d.) component lifetimes is a vector whose ith element is the probability that the ith component failure is fatal to the system. System signatures have been found to be quite useful tools in the study and comparison of engineered systems. In this article, the theory of system signatures is extended to versions of signatures applicable in dynamic reliability settings. It is shown that, when a working used system is inspected at … Show more

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Cited by 80 publications
(83 citation statements)
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“…28-32]). Similar representations for the residual lifetime (T − t | T > t) of T can be seen in [4] and [9]. Navarro et al [6] proved that this representation can be extended to systems with exchangeable components.…”
mentioning
confidence: 66%
“…28-32]). Similar representations for the residual lifetime (T − t | T > t) of T can be seen in [4] and [9]. Navarro et al [6] proved that this representation can be extended to systems with exchangeable components.…”
mentioning
confidence: 66%
“…or exchangeable dependent components, especially k-outof-n systems. For instance, see [1], [8], [9], [10], [12], [13], [15], [21], [22], [24], [26], [27], and [28].…”
Section: Mixture Representations Of Inactivity Timesmentioning
confidence: 99%
“…, x n ). Recently, Navarro et al [17] (see also [24]) obtained several mixture representations of the reliability function of a residual lifetime of used coherent systems under some conditions in terms of the reliability functions of residual lifetimes of order statistics.…”
Section: Introductionmentioning
confidence: 99%
“…Asadi [4], Samaniego, Balakrishnan and Navarro [26], and Mahmoudi and Asadi [15]. The third equality holds because the events {T = X i,n } and {A r (t 1 ), X i,n = t 2 }, {T = X i,n } and {X k,n − t 2 , A r (t 1 ), X i,n = t 2 } are independent, respectively.…”
Section: Resultsmentioning
confidence: 76%