Preservation of reliability classes associated with the mean residual life by a renewal process stopped at a random time

F.G. Badía and E.T. Salehi

Applied Stochastic Models in Business and Industry, 2012, vol. 28, issue 4, 381-394

Abstract: In this paper, we show that some ageing classes of a random time T related to the mean residual life are preserved by the discrete random count variable N(T), where {N(t) : t ⩾0}is a renewal process independent from T under suitable conditions. In the particular case of the Poisson process, we extend the results to more reliability classes. We also consider real examples of N(T) and apply the results to queuing systems. Copyright © 2011 John Wiley & Sons, Ltd.

Date: 2012
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https://doi.org/10.1002/asmb.921

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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:28:y:2012:i:4:p:381-394

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