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On likelihood ratio ordering of parallel systems with heterogeneous exponential components

Jiantian Wang and Bin Cheng

Statistics & Probability Letters, 2021, vol. 175, issue C

Abstract: This paper provides a partial solution to a long-standing open problem posted by Balakrishnan and Zhao (2013) concerning the likelihood ratio ordering of the lifetimes of parallel systems with two heterogeneous exponential components. The proposed method can be applied to tackle other stochastic ordering problems in a parallel system.

Keywords: Parallel system; Exponential component; Stochastic ordering; Likelihood ratio order (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109118

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