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

Badía F.G. | Zendy; Salehi E.T. | Zendy

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

Author(s) -

Badía F.G.,

Salehi E.T.

Publication year - 2011

Publication title -

applied stochastic models in business and industry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.413

H-Index - 40

eISSN - 1526-4025

pISSN - 1524-1904

DOI - 10.1002/asmb.921

Subject(s) - poisson process , reliability (semiconductor) , renewal theory , residual , random variable , queueing theory , mathematics , poisson distribution , process (computing) , statistics , computer science , combinatorics , discrete mathematics , algorithm , physics , operating system , power (physics) , quantum mechanics

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.

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