On the behaviour of some new ageing properties based upon the residual life of k-out-of-n systems

Xiaohu Li, Ming J. Zuo

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

In this paper, we investigate k-out-of-n systems with independent and identically distributed components. Some characterizations of the IFR(2), DMRL, NBU(2) and NBUC classes of life distributions are obtained in terms of the monotonicity of the residual life given that the (n - k)th failure has occurred at time t ≥ 0. These results complement those reported by Belzunce, Franco and Ruiz (1999). Similar conclusions based on the residual life of a parallel system conditioned by the (n - k)th failure time are presented as well.

Original languageEnglish
Pages (from-to)426-433
Number of pages8
JournalJournal of Applied Probability
Volume39
Issue number2
DOIs
StatePublished - Jun 2002

Keywords

  • DMRL
  • IFR(2)
  • Increasing concave order
  • Increasing convex order
  • NBU
  • NBU(2)
  • NBUC
  • Parallel system
  • Residual life

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