IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v71y1997i1p1-10.html
   My bibliography  Save this article

Strassen-type laws for independent random walks

Author

Listed:
  • Grill, Karl

Abstract

Let (Xij) be a double sequence of independent, identically distributed random variables, with mean zero and variance one, whose moment generating function is finite in a neighbourhood of the origin. Let Si(t) be the partial sum process constructed from Xi. We consider the sets Fn = {[gamma]-1nSi(n.):i [less-than-or-equals, slant] an}, where an is a nondecreasing sequence of integers and [gamma]n is a suitable normalizing sequence. We prove a strong approximation result that in particular implies a Strassen-type law if an grows slower than exponential. If an grows at an exponential rate, we prove another Strassen-type result.

Suggested Citation

  • Grill, Karl, 1997. "Strassen-type laws for independent random walks," Stochastic Processes and their Applications, Elsevier, vol. 71(1), pages 1-10, October.
    • Handle: RePEc:eee:spapps:v:71:y:1997:i:1:p:1-10
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(97)00043-4
    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.

    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:spapps:v:71:y:1997:i:1:p:1-10. 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/505572/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.