On Redundancy Allocation to Series and Parallel Systems of Two Components

Rongfang Yan, Bin Lu, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

For two components and one standby redundancy, we develop a characterization on the hazard rate order and the reversed hazard rate order of the redundant system lifetime in the context of mutually independent components lifetimes. Also, the likelihood ratio order is derived on the lifetime of the series system with two components lifetimes and two matched active redundancies lifetimes both following the proportional hazard model.

Original languageEnglish
Pages (from-to)4690-4701
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Volume48
Issue number18
DOIs
StatePublished - 17 Sep 2019

Keywords

  • Hazard rate order
  • Likelihood ratio order
  • Proportional hazards
  • Reversed hazard rate order
  • Stochastic order

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