IDEAS home Printed from https://ideas.repec.org/a/wly/apsmbi/v17y2001i2p221-229.html
   My bibliography  Save this article

On an inverse problem in mixture failure rates modelling

Author

Listed:
  • Max S. Finkelstein
  • Veronica Esaulova

Abstract

Mixtures of decreasing failure rate (DFR) distributions are always DFR. It turns out that very often mixtures of increasing failure rate distributions can decrease or show even more complicated patterns of dependence on time. For studying this and other relevant effects two simple models of mixing with additive and multiplicative failure rates are considered. It is shown that for these models an inverse problem can be solved, which means that given an arbitrary shape of the mixture failure rate and a mixing distribution, the failure rate for a governing distribution can be uniquely obtained. Some examples are considered where this operation can be performed explicitly. Possible generalizations are discussed. Copyright © 2001 John Wiley & Sons, Ltd.

Suggested Citation

  • Max S. Finkelstein & Veronica Esaulova, 2001. "On an inverse problem in mixture failure rates modelling," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 17(2), pages 221-229, April.
  • Handle: RePEc:wly:apsmbi:v:17:y:2001:i:2:p:221-229
    DOI: 10.1002/asmb.435
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/asmb.435
    Download Restriction: no

    File URL: https://libkey.io/10.1002/asmb.435?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
    ---><---

    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:apsmbi:v:17:y:2001:i:2:p:221-229. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1526-4025 .

    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.