2010
DOI: 10.1007/s00184-010-0335-3
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Results on the past lifetime of (n − k + 1)-out-of-n structures with nonidentical components

Abstract: We consider a (n −k +1)-out-of-n system with independent and nonidentical components. Under the condition that at time t the system has failed we study the past lifetime of the components of the system. The mean past lifetime of the components is defined and some of its properties are investigated. Stochastic comparisons are also made between the past lifetime of different systems.

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Cited by 8 publications
(6 citation statements)
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References 22 publications
(23 reference statements)
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“…These results extend some of the recent results in this direction due to Zhao, Li, and Balakrishnan [21], Kochar and Xu [12], and Saledi and Asadi [16]. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems.…”
supporting
confidence: 87%
See 3 more Smart Citations
“…These results extend some of the recent results in this direction due to Zhao, Li, and Balakrishnan [21], Kochar and Xu [12], and Saledi and Asadi [16]. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems.…”
supporting
confidence: 87%
“…Clearly, parts (i) and (iii) of Corollary 9 strengthen Theorem 2.9 of Saledi and Asadi [16] and Corollary 2.2(i) of Zhao et al [21], respectively, by extending the usual stochastic order to the reversed hazard rate order.…”
Section: Theorem 3 Of LI and Lusupporting
confidence: 59%
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“…Tavangar and Asadi in [35] expanded the results of [2] for an (n − k + 1)-out-of-n system and defined the mean inactivity time of the components at the system level. In this regard, we can refer to Khaledi and Shaked [14], Zhao et al [38], and Salehi and Asadi [28].…”
Section: Introductionmentioning
confidence: 99%