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Journal of Applied Probability Journal of Applied Probability

Article contents

On the Conditional Residual Life and Inactivity Time of Coherent Systems

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  30 January 2018

A. Parvardeh  and
N. Balakrishnan
A. Parvardeh
Affiliation:
University of Isfahan
N. Balakrishnan
Affiliation:
McMaster University
Corresponding
E-mail address:
bala@mcmaster.ca
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Abstract

In this paper we derive mixture representations for the reliability functions of the conditional residual life and inactivity time of a coherent system with n independent and identically distributed components. Based on these mixture representations we carry out stochastic comparisons on the conditional residual life, and the inactivity time of two coherent systems with independent and identical components.

Keywords

Residual lifetime signature inactivity time hazard rate order likelihood ratio order reversed hazard rate order

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 51 , Issue 4 , December 2014 , pp. 990 - 998
Copyright
© Applied Probability Trust 

References

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