IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v9y1990i1p83-90.html
   My bibliography  Save this article

inadmissibility of the maximum likelihood estimator of the inverse gaussian mean

Author

Listed:
  • Hsieh, H. K.
  • Korwar, R. M.
  • Rukhin, A. L.

Abstract

The traditional estimator of the mean of an inverse Gaussian distribution is the sample mean, which is the maximum likelihood estimator and the best unbiased estimator. In this paper alternative estimators of this parameter are introduced. They are shown to improve under quadratic loss on the sample mean which establishes the inadmissibility of the latter. To illustrate the extent of the improvement some numerical results are given.

Suggested Citation

  • Hsieh, H. K. & Korwar, R. M. & Rukhin, A. L., 1990. "inadmissibility of the maximum likelihood estimator of the inverse gaussian mean," Statistics & Probability Letters, Elsevier, vol. 9(1), pages 83-90, January.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:1:p:83-90
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(90)90099-S
    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.

    Citations

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


    Cited by:

    1. Kourouklis, Stavros, 1997. "A new property of the inverse Gaussian distribution with applications," Statistics & Probability Letters, Elsevier, vol. 32(2), pages 161-166, March.
    2. MacGibbon, Brenda & Shorrock, Glenn, 1997. "Shrinkage estimators for the dispersion parameter of the inverse Gaussian distribution," Statistics & Probability Letters, Elsevier, vol. 32(2), pages 207-214, March.
    3. Tiefeng Ma & Shuangzhe Liu & S. Ahmed, 2014. "Shrinkage estimation for the mean of the inverse Gaussian population," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(6), pages 733-752, August.

    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:9:y:1990:i:1:p:83-90. 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.