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Stochastic comparisons of coherent systems under different random environments

  • Ebrahim Amini-Seresht (a1), Yiying Zhang (a2) and Narayanaswamy Balakrishnan (a3)

Abstract

For many practical situations in reliability engineering, components in the system are usually dependent since they generally work in a collaborative environment. In this paper we build sufficient conditions for comparing two coherent systems under different random environments in the sense of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orders. Applications and numerical examples are provided to illustrate all the theoretical results established here.

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Corresponding author

* Postal address: Department of Statistics, Bu-Ali Sina University, Hamedan, Iran.
** Postal address: Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong. Email address: zhangyiying@outlook.com
*** Postal address: Department of Mathematics and Statistics, McMaster University, Hamilton, ON L85 4K1, Canada.

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Journal of Applied Probability
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