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NBUE and NWUE properties of increasing Markov processes

Published online by Cambridge University Press:  14 July 2016

Izi Karasu  and
Süleyman Özekici
Izi Karasu
Affiliation:
Boǧazici University
Süleyman Özekici*
Affiliation:
Boǧazici University
*
∗ Boǧazici University, Department of Industrial Engineering, Bebek, Istanbul, Turkey.
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Abstract

Consider a device that deteriorates in time according to an increasing Markov process so that it fails as soon as a critical threshold is exceeded. NBUE and NWUE properties of the lifetime of the device are identified to extend the existing literature on the PFr, IFR, IFRA, and NBU cases. In particular, it is shown that NBUE and NWUE characterizations can be made through a monotonicity property on the potential operator of the Markov process.

Keywords

FIRST-PASSAGE TIMESLIFE DISTRIBUTIONSNBUE AND NWUE PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 827 - 834
Copyright
Copyright © Applied Probability Trust 1989 

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