On The IFR Property Preservation For Markov Chain Imbeddable Systems

  • Authors:

  • M. V. Koutras;P. E. Maravelakis

  • Affiliations:

  • Department of Statistics and Insurance Science, University of Pireaus, Pireaus, Greece, E-mail: mkoutras@unipi.gr;Department of Statistics and Insurance Science, University of Pireaus, Pireaus, Greece, E-mail: mkoutras@unipi.gr

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2007

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Abstract

In the present article, we consider a class of reliability structures that can be efficiently described through a finite Markov chain (Markov chain imbeddable systems) and investigate its closeness with respect to the increasing failure rate (IFR) property. More specifically we derive a sufficient condition for the system's lifetime to have increasing failure rate when the identical and independent components comprising it own this property. As an application of the general theory, we establish an alternative proof of the IFR property preservation for the k-out-of-n system and derive some related results for the family of weighted k-out-of-n systems.