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The NBUL class of life distribution and replacement policy comparisons

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  • Dequan Yue
  • Jinhua Cao

Abstract

Let X and Xτ denote the lifetime and the residual life at age τ of a system, respectively. X is said to be a NBUL random variable if Xτ is smaller than X in Laplace order, i.e., Xτ ≤L X. We obtain some characterizations for this class of life distribution by means of the lifetime of a series system and the residual life at random time. We also discuss preservation properties for this class of life distribution under shock models. Finally, under the assumption that the lifetimes have the NBUL property, we make stochastic comparisons between some basic replacement policies. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 578–591, 2001.

Suggested Citation

  • Dequan Yue & Jinhua Cao, 2001. "The NBUL class of life distribution and replacement policy comparisons," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 578-591, October.
    • Handle: RePEc:wly:navres:v:48:y:2001:i:7:p:578-591
    DOI: 10.1002/nav.1035
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    3. Bhattacharjee, Arnab & Sengupta, Debasis, 1996. "On the coefficient of variation of the - and -classes," Statistics & Probability Letters, Elsevier, vol. 27(2), pages 177-180, April.
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