IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-3678-8_27.html
   My bibliography  Save this book chapter

Asymptotic Mean Squared Error of Shrinkage Estimators

In: Contributions to Probability and Statistics

Author

Listed:
  • T. W. F. Stroud

    (Queen’s University at Kingston)

Abstract

When hyperparameters are estimated in a Bayesian model which produces shrinkage estimators of group means, it is well known that the mean square errors of the estimated means are underestimated if hyperparameter estimates are simply substituted for hyperparameter values in mean square formulas. In this article, a method for approximating the mean square error is described for the case where the estimators of the hyperparameters are obtained by maximum likelihood, and hence are asymptotically normal. Under this approach, the Bayesian model is interpreted as a random-effects model. The method is useful in situations such as small area estimation under stratified sampling (with a large number of strata).

Suggested Citation

  • T. W. F. Stroud, 1989. "Asymptotic Mean Squared Error of Shrinkage Estimators," Springer Books, in: Leon Jay Gleser & Michael D. Perlman & S. James Press & Allan R. Sampson (ed.), Contributions to Probability and Statistics, chapter 24, pages 385-396, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3678-8_27
    DOI: 10.1007/978-1-4612-3678-8_27
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-1-4612-3678-8_27. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.