IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v49y2002i8p781-797.html
   My bibliography  Save this article

Reliability bounds for the NBUE distributions

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.10035
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.10035?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Willmot, Gordon E., 1997. "Bounds for compound distributions based on mean residual lifetimes and equilibrium distributions," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 25-42, October.
    2. Henry W. Block & Thomas H. Savits & Harshinder Singh, 2002. "A Criterion for Burn-in that Balances Mean Residual Life and Residual Variance," Operations Research, INFORMS, vol. 50(2), pages 290-296, April.
    3. Al-Zahrani, Bander & Stoyanov, Jordan, 2008. "Moment inequalities for DVRL distributions, characterization and testing for exponentiality," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1792-1799, September.
    4. Chadjiconstantinidis, Stathis, 2023. "Some bounds for the renewal function and the variance of the renewal process," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    5. M. Khorashadizadeh & A. Roknabadi & G. Borzadaran, 2013. "Variance residual life function based on double truncation," METRON, Springer;Sapienza Università di Roma, vol. 71(2), pages 175-188, September.
    6. Courtois, Cindy & Denuit, Michel, 2007. "Bounds on convex reliability functions with known first moments," European Journal of Operational Research, Elsevier, vol. 177(1), pages 365-377, February.
    7. Francisco Germán Badía & María Dolores Berrade, 2022. "On the Residual Lifetime and Inactivity Time in Mixtures," Mathematics, MDPI, vol. 10(15), pages 1-20, August.
    8. Belzunce, F. & Candel, J. & Ruiz, J. M., 1996. "Dispersive orderings and characterization of ageing classes," Statistics & Probability Letters, Elsevier, vol. 28(4), pages 321-327, August.
    9. Balu, Mini N. & Sabnis, S. V., 1997. "Preservation of certain dependent structures under bivariate homogeneous Poisson shock models," Statistics & Probability Letters, Elsevier, vol. 35(1), pages 91-100, August.
    10. Li, Xiaohu & Li, Zehui & Jing, Bing-Yi, 2000. "Some results about the NBUC class of life distributions," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 229-237, February.
    11. Ramesh C. Gupta, 2006. "Variance residual life function in reliability studies," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 343-355.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:49:y:2002:i:8:p:781-797. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.