IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v40y1998i1p75-81.html
   My bibliography  Save this article

The law of the large numbers for U-statistics for 2m-wise independent random variables

Author

Listed:
  • Arcones, Miguel A.

Abstract

The strong law of the large numbers for U-statistics has been proved for a sequence of independent random variables using martingale techniques. We see that the condition of independence can be relaxed to 2m-wise independence. In this case martingale techniques cannot be applied. We also consider Marcinkiewicz laws of large numbers for U-statistics for a special case.

Suggested Citation

  • Arcones, Miguel A., 1998. "The law of the large numbers for U-statistics for 2m-wise independent random variables," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 75-81, September.
  • Handle: RePEc:eee:stapro:v:40:y:1998:i:1:p:75-81
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00108-4
    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. Dehling, Herold G. & Sharipov, Olimjon Sh., 2009. "Marcinkiewicz-Zygmund strong laws for U-statistics of weakly dependent observations," Statistics & Probability Letters, Elsevier, vol. 79(19), pages 2028-2036, October.

    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:40:y:1998:i:1:p:75-81. 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.