Monotonicity properties of residual lifetimes of parallel systems and inactivity times of series systems with heterogeneous components

Weiyong Ding, Xiaohu Li, Narayanaswamy Balakrishnan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Here, we discuss the stochastic comparison of residual lifetimes of parallel systems and inactivity times of series systems by means of the reversed hazard rate order when the components of the systems are independent but not necessarily identically distributed. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems. 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].

Original languageEnglish
Pages (from-to)61-75
Number of pages15
JournalProbability in the Engineering and Informational Sciences
Volume26
Issue number1
DOIs
StatePublished - Jan 2012

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