IDEAS home Printed from https://ideas.repec.org/a/wly/apsmda/v14y1998i1p47-65.html
   My bibliography  Save this article

Mixture of Weibull distributions—parametric characterization of failure rate function

Author

Listed:
  • R. Jiang
  • D. N. P. Murthy

Abstract

A mixture distribution involving two two‐parameter Weibull distributions is characterized by five parameters. The shape of the failure rate function for the mixture depends on the parameter values and can be one of eight distinct shapes. In this paper we present a complete parametric characterization of the shapes for the failure rate function for the mixture. © 1998 John Wiley & Sons, Ltd.

Suggested Citation

  • R. Jiang & D. N. P. Murthy, 1998. "Mixture of Weibull distributions—parametric characterization of failure rate function," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(1), pages 47-65, March.
    • Handle: RePEc:wly:apsmda:v:14:y:1998:i:1:p:47-65
    DOI: 10.1002/(SICI)1099-0747(199803)14:13.0.CO;2-E
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1099-0747(199803)14:13.0.CO;2-E
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1099-0747(199803)14:13.0.CO;2-E?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. M Bebbington & C D Lai & D N P Murthy & R Zitikis, 2009. "Modelling N- and W-shaped hazard rate functions without mixing distributions," Journal of Risk and Reliability, , vol. 223(1), pages 59-69, March.
    2. Farcomeni, Alessio & Nardi, Alessandra, 2010. "A two-component Weibull mixture to model early and late mortality in a Bayesian framework," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 416-428, February.
    3. Wendy W. Moe & Peter S. Fader, 2002. "Fast-Track: Article Using Advance Purchase Orders to Forecast New Product Sales," Marketing Science, INFORMS, vol. 21(3), pages 347-364, March.
    4. Eshetu T. Wondmagegnehu, 2004. "On the behavior and shape of mixture failure rates from a family of IFR Weibull distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 491-500, June.
    5. Bebbington, Mark & Lai, Chin-Diew & Zitikis, RiÄ ardas, 2009. "Balancing burn-in and mission times in environments with catastrophic and repairable failures," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1314-1321.
    6. Baker, Rose, 2019. "New survival distributions that quantify the gain from eliminating flawed components," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 493-501.
    7. Xiaowei Dong & Feng Sun & Fangchao Xu & Qi Zhang & Ran Zhou & Liang Zhang & Zhongwei Liang, 2022. "Three-Parameter Estimation Method of Multiple Hybrid Weibull Distribution Based on the EM Optimization Algorithm," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    8. Bebbington, Mark & Lai, Chin-Diew & Zitikis, RiÄ ardas, 2007. "A flexible Weibull extension," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 719-726.
    9. Peng, Xiuyun & Yan, Zaizai, 2014. "Estimation and application for a new extended Weibull distribution," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 34-42.

    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:apsmda:v:14:y:1998:i:1:p:47-65. 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)1099-0747 .

    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.