IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v31y1983i2p391-396.html
   My bibliography  Save this article

Technical Note—When Does the βth Percentile Residual Life Function Determine the Distribution?

Author

Listed:
  • Barry C. Arnold

    (University of California, Riverside, California)

  • Patrick L. Brockett

    (University of Texas, Austin, Texas)

Abstract

Knowledge of the βth percentile residual life function does not uniquely determine the underlying distribution. Additional information about the tail behavior of the distribution is needed. Knowledge of both the β 1 and β 2 percentile residual life functions does uniquely determine the distribution provided that β 1 and β 2 are noncommensurate. This corrects and extends the results of Schmittlein and Morrison (Schmittlein, D. C., D. G. Morrison. 1981. The median residual lifetime; a characterization theorem and an application. Opns. Res. 29 392–399.).

Suggested Citation

  • Barry C. Arnold & Patrick L. Brockett, 1983. "Technical Note—When Does the βth Percentile Residual Life Function Determine the Distribution?," Operations Research, INFORMS, vol. 31(2), pages 391-396, April.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:391-396
    DOI: 10.1287/opre.31.2.391
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.31.2.391
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.31.2.391?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sin-Ho Jung & Jong-Hyeon Jeong & Hanna Bandos, 2009. "Regression on Quantile Residual Life," Biometrics, The International Biometric Society, vol. 65(4), pages 1203-1212, December.
    2. Jong-Hyeon Jeong & Sin-Ho Jung & Joseph P. Costantino, 2008. "Nonparametric Inference on Median Residual Life Function," Biometrics, The International Biometric Society, vol. 64(1), pages 157-163, March.
    3. Rosa E. Lillo, 2005. "On the median residual lifetime and its aging properties: A characterization theorem and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 370-380, June.

    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:inm:oropre:v:31:y:1983:i:2:p:391-396. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.