On likelihood ratio ordering of parallel systems with heterogeneous exponential components

Document Type

Article

Publication Date

8-1-2021

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.

Publication Title

Statistics and Probability Letters

DOI

10.1016/j.spl.2021.109118

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