IDEAS home Printed from https://ideas.repec.org/a/ids/ijrsaf/v2y2008i3p170-178.html
   My bibliography  Save this article

A constrained quadratic spline as a model for the cumulative hazard function

Author

Listed:
  • Vasiliy V. Krivtsov
  • Ilya V. Kolmanovsky
  • Timothy P. Davis

Abstract

Probability distributions traditionally used in reliability analysis (e.g. exponential, Weibull, lognormal, normal, gamma and inverse Gaussian) do not always provide enough flexibility to model real-world lifetime data. Considered in this paper is a quadratic spline with a single free knot as a model of the cumulative hazard function for increasing failure rate distributions. A parsimonious (essentially closed form) solution with a simple numerical search is proposed for estimating spline parameters. Automotive warranty data examples are discussed as an illustration.

Suggested Citation

  • Vasiliy V. Krivtsov & Ilya V. Kolmanovsky & Timothy P. Davis, 2008. "A constrained quadratic spline as a model for the cumulative hazard function," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 2(3), pages 170-178.
    • Handle: RePEc:ids:ijrsaf:v:2:y:2008:i:3:p:170-178
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=21062
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:ijrsaf:v:2:y:2008:i:3:p:170-178. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=98 .

    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.