IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v26y1996i3p249-258.html
   My bibliography  Save this article

Optimal allocation of test positions and testing time in a factorial life testing experiment

Author

Listed:
  • Gertsbakh, I.

Abstract

This paper describes how to plan an "optimal" life testing experiment when the lifetime is assumed to have an exponential distribution. We further assume that the mean lifetime is equal to exp([beta]1x1 + ... + [beta]kxk) where the covariates xi form an orthogonal Hademard-type matrix reflecting the testing conditions, and [beta]i are the unknown parameters. There are n0 testing positions available, each one during the time interval [0,t0]. This interval is divided into k stages of length ti, I = 1, ... , k, and on each of these stages all devices operate under a fixed testing regime. Each device which fails is immediately restored and continues to operate. A closed maximum likelihood solution is given for estimates of [beta]i. An expression for [Sigma]AsVar[[beta]i] is derived, which serves for obtaining an approximate optimal duration of the ith testing stage, ti*. It is shown that ti* is proportional to the square root of the mean lifetime for the corresponding testing regime.

Suggested Citation

  • Gertsbakh, I., 1996. "Optimal allocation of test positions and testing time in a factorial life testing experiment," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 249-258, February.
    • Handle: RePEc:eee:stapro:v:26:y:1996:i:3:p:249-258
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(95)00017-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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:eee:stapro:v:26:y:1996:i:3:p:249-258. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.