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Stochastic comparison of parallel systems with heterogeneous exponential components

Part of: Distribution theory - Probability Operations research and management science

Published online by Cambridge University Press:  15 September 2017

Bin Cheng  and
Jiantian Wang
Bin Cheng*
Affiliation:
Columbia University
Jiantian Wang*
Affiliation:
Kean University
*
* Postal address: Department of Biostatistics, Mailman School of Public Health, Columbia University, 722 West 168th Street, New York, NY 10032, USA. Email address: [email protected]
** Postal address: School of Mathematical Sciences, Kean University, Union, NJ 07083, USA.
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Abstract

In this paper we provide a sufficient condition for mean residual life ordering of parallel systems with n ≥ 3 heterogeneous exponential components.

Keywords

Mean residual life orderreciprocal majorizationparallel systemorder statisticsproportional hazard model

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60E15: Inequalities; stochastic orderings
Type
Short Communications
Information
Journal of Applied Probability , Volume 54 , Issue 3 , September 2017 , pp. 970 - 976
Copyright
Copyright © Applied Probability Trust 2017 

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References

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