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Reliability bounds for the NBUE distributions

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  • Kan Cheng
  • Yeh Lam

Abstract

In this paper, we study upper and lower bounds on the reliability in new better than used in expectation (NBUE) life distribution class with fixed first two moments. By a constructive proof, we determine the upper bounds on the reliability analytically in different regions and show that these bounds are sharp. For the lower bounds, similar results are obtained except in one region. For that region, a conjecture is given for further study. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 781–797, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10035

Suggested Citation

  • Kan Cheng & Yeh Lam, 2002. "Reliability bounds for the NBUE distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 781-797, December.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:8:p:781-797
    DOI: 10.1002/nav.10035
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    References listed on IDEAS

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    1. Cheng, Kan & Lam, Yeh, 2001. "Reliability bounds on HNBUE life distributions with known first two moments," European Journal of Operational Research, Elsevier, vol. 132(1), pages 163-175, July.
    2. Robert L. Launer, 1984. "Inequalities for NBUE and NWUE Life Distributions," Operations Research, INFORMS, vol. 32(3), pages 660-667, June.
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    Cited by:

    1. Lando, Tommaso, 2024. "Nonparametric inference for NBUE distributions based on the TTT transform," Statistics & Probability Letters, Elsevier, vol. 212(C).

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