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On the change point of the mean residual life of series and parallel systems

Yan Shen, Min Xie, Loon Ching Tang

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

This paper considers the mean residual life in series and parallel systems with independent and identically distributed components and obtains relationships between the change points of the mean residual life of systems and that of their components. Compared with the change point for single components, should it exists, the change point for a series system occurs later. For a parallel system, however, the change point is located before that for the components, if it exists at all. Moreover, for both types of systems, the distance between the change points of the mean residual life for systems and for components increases with the number of components. These results are helpful in the determination of optimal burn-in time and related decision making in reliability analysis. © 2010 Australian Statistical Publishing Association Inc.
Original languageEnglish
Pages (from-to)109-121
JournalAustralian and New Zealand Journal of Statistics
Volume52
Issue number1
DOIs
Publication statusPublished - Mar 2010
Externally publishedYes

Research Keywords

  • Burn-in
  • Change point
  • Independent and identically distributed
  • Location
  • Mean residual life
  • Parallel system
  • Series system

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