IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v39y1995i1p173-185.html
   My bibliography  Save this article

Estimation of the three parameter Weibull probability distribution

Author

Listed:
  • Qiao, Hongzhu
  • Tsokos, Chris P.

Abstract

The aim of the present paper is to propose an algorithm to easily obtain good estimates of the three parameter Weibull distribution. Our proposed procedure is given in eight steps and it depends on the Simple Iteration Procedure, which always converges, converges fast and does not depend on any conditions, whatsoever, that has been developed by the authors for the two parameter Weibull model. Numerical examples will be given to illustrate the effectiveness of our proposed statistical procedure. Finally, we address the issue of what we lose in characterizing the probabilistic behavior of a certain phenomenon with a two parameter Weibull model when in fact the true characterization calls for a three parameter Weibull model. We use the concept of percentiles, cumulative distribution function and graphical presentations to answer the above questions.

Suggested Citation

  • Qiao, Hongzhu & Tsokos, Chris P., 1995. "Estimation of the three parameter Weibull probability distribution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 173-185.
    • Handle: RePEc:eee:matcom:v:39:y:1995:i:1:p:173-185
    DOI: 10.1016/0378-4754(95)95213-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378475495952135
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0378-4754(95)95213-5?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
    ---><---

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

    Citations

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


    Cited by:

    1. Wang, Lichun & Wang, Xuan, 2009. "The life-span prediction of a system connected in series," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1770-1777.
    2. Cheng, Yung-Hsiang & Tsao, Hou-Lei, 2010. "Rolling stock maintenance strategy selection, spares parts' estimation, and replacements' interval calculation," International Journal of Production Economics, Elsevier, vol. 128(1), pages 404-412, November.
    3. Pang, Wan-Kai & Hou, Shui-Hung & Yu, Wing-Tong, 2007. "On a proper way to select population failure distribution and a stochastic optimization method in parameter estimation," European Journal of Operational Research, Elsevier, vol. 177(1), pages 604-611, February.

    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:matcom:v:39:y:1995:i:1:p:173-185. 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.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.