Comparisons of series and parallel systems with heterogeneous components

Weiyong Ding, Gaofeng Da, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This paper carries out stochastic comparisons of series and parallel systems with independent and heterogeneous components in the sense of the hazard rate order, the reversed hazard rate order, and the likelihood ratio order. The main results extend and strengthen the corresponding ones by Misra and Misra [18] and by Ding, Zhang, and Zhao [8]. Meanwhile, the results on the hazard rate order of parallel systems and the reversed hazard order of series systems serve as nice supplements to Theorem 16.B.1 of Boland and Proschan [4] and Theorem 3.2 of Nanda and Shaked [20], respectively.

Original languageEnglish
Pages (from-to)39-53
Number of pages15
JournalProbability in the Engineering and Informational Sciences
Volume28
Issue number1
DOIs
StatePublished - 2014

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