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On likelihood ratio ordering of parallel systems with heterogeneous exponential components

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  • Wang, Jiantian
  • Cheng, Bin

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.

Suggested Citation

  • Wang, Jiantian & Cheng, Bin, 2021. "On likelihood ratio ordering of parallel systems with heterogeneous exponential components," Statistics & Probability Letters, Elsevier, vol. 175(C).
    • Handle: RePEc:eee:stapro:v:175:y:2021:i:c:s0167715221000808
    DOI: 10.1016/j.spl.2021.109118
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    References listed on IDEAS

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    1. Proschan, F. & Sethuraman, J., 1976. "Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability," Journal of Multivariate Analysis, Elsevier, vol. 6(4), pages 608-616, December.
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