IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v41y1992i1p132-153.html
   My bibliography  Save this article

On the bootstrap and the trimmed mean

Author

Listed:
  • Hall, Peter
  • Padmanabhan, A. R.

Abstract

We show that the bootstrap approximation to the distribution of the Studentized trimmed mean performs better than the normal approximation, in that it is in error by terms of smaller order than n-1/2, where n denotes sample size. No assumptions are made about symmetry and only mild smoothness conditions are imposed. The method of proof involves differential smoothing of the bootstrap approximant, and is applicable to important related problems such as bootstrap approximation of the distribution of the trimmed variance.

Suggested Citation

  • Hall, Peter & Padmanabhan, A. R., 1992. "On the bootstrap and the trimmed mean," Journal of Multivariate Analysis, Elsevier, vol. 41(1), pages 132-153, April.
    • Handle: RePEc:eee:jmvana:v:41:y:1992:i:1:p:132-153
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0047-259X(92)90062-K
    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. Zhihong Liu & Qi Zhang & Raouf Boutaba & Yaping Liu & Zhenghu Gong, 2016. "ROUTE: run‐time robust reducer workload estimation for MapReduce," International Journal of Network Management, John Wiley & Sons, vol. 26(3), pages 224-244, May.
    2. Zhiqiang Chen & Evarist Giné, 2004. "Another approach to asymptotics and bootstrap of randomly trimmed means," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 771-790, December.
    3. Rand Wilcox, 2001. "Pairwise comparisons of trimmed means for two or more groups," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 343-356, September.

    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:jmvana:v:41:y:1992:i:1:p:132-153. 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.