On ordering parallel systems with two components having Marshall/Olkin-type lifetime distribution

Xiaoxiao Hu, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This article studies the parallel system with two component lifetimes following Marshall/Olkin-type distribution. We develop some sufficient conditions for the hazard rate order on the system lifetime, which essentially generalize related results in the literature on lifetime distributions with Marshall–Olkin structure.

Original languageEnglish
Pages (from-to)5318-5329
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Volume51
Issue number15
DOIs
StatePublished - 2022

Keywords

  • Cumulative hazard function
  • Marshall–Olkin exponential distribution
  • hazard rate order
  • proportional hazards
  • stochastic order

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