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A note on allocation policy in two-parallel–series and two-series–parallel systems with respect to likelihood ratio order

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  • Wang, Jiantian
  • Laniado, Henry

Abstract

In a recent article of Laniado and Lillo (2014), the authors obtained some comparison results on component allocation policies in two-parallel–series and two-series–parallel systems with two types of components. They proposed a conjecture that those results can be extended to likelihood ratio order. In this note, we provide an affirmative answer to their conjecture.

Suggested Citation

  • Wang, Jiantian & Laniado, Henry, 2015. "A note on allocation policy in two-parallel–series and two-series–parallel systems with respect to likelihood ratio order," Statistics & Probability Letters, Elsevier, vol. 102(C), pages 17-21.
    • Handle: RePEc:eee:stapro:v:102:y:2015:i:c:p:17-21
    DOI: 10.1016/j.spl.2015.03.004
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    References listed on IDEAS

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    1. Crescenzo, Antonio Di, 2000. "Some results on the proportional reversed hazards model," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 313-321, December.
    2. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, March.
    3. Valdés, José E. & Zequeira, Rómulo I., 2003. "On the optimal allocation of an active redundancy in a two-component series system," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 325-332, July.
    4. Brito, Gerandy & Zequeira, Romulo I. & Valdés, José E., 2011. "On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 201-206, February.
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