The NBUL class of life distribution and replacement policy comparisons

The NBUL class of life distribution and replacement policy comparisons

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Article ID: iaor20022165
Country: United States
Volume: 48
Issue: 7
Start Page Number: 578
End Page Number: 591
Publication Date: Oct 2001
Journal: Naval Research Logistics
Authors: ,
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., XτL 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.

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