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Stochastic comparisons of coherent systems under different random environments

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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… Click to show full abstract

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.

Keywords: stochastic comparisons; different random; random environments; systems different; coherent systems; comparisons coherent

Journal Title: Journal of Applied Probability
Year Published: 2018

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