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On the Conditional Residual Life and Inactivity Time of Coherent Systems

Part of: Special processes Operations research and management science

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
*
∗ Postal address: Department of Statistics, University of Isfahan, Isfahan, 81744, Iran.
∗∗ Postal address: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L85 4K1, Canada. Email address: [email protected]
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Abstract

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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 lifetimesignatureinactivity timehazard rate orderlikelihood ratio orderreversed 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 

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