IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v35y1990i1p1-9.html
   My bibliography  Save this article

Escape time for a random walk from an orthant

Author

Listed:
  • Klein Haneveld, L.A.
  • Pittenger, A.O.

Abstract

Let {([xi]k, [eta]k), k>[greater-or-equal, slanted]} be a sequence of independent random vectors with values in {-1, 0, ...} x{-1, 0, ...}. Assume the component variables have zero means, bounded second moments, and that [alpha] = E[[xi]k[eta]k] is the same for all k. Let Zn denote (i0,j0)+[Sigma]n1 ([xi]k, where i0, j0 are positive integers, and let [tau] denote the first time Zn hits a coordinate axis. We show E([tau]) is finite if and only if [alpha]

Suggested Citation

  • Klein Haneveld, L.A. & Pittenger, A.O., 1990. "Escape time for a random walk from an orthant," Stochastic Processes and their Applications, Elsevier, vol. 35(1), pages 1-9, June.
    • Handle: RePEc:eee:spapps:v:35:y:1990:i:1:p:1-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(90)90118-C
    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. Iain M. MacPhee & Mikhail V. Menshikov & Andrew R. Wade, 2013. "Moments of Exit Times from Wedges for Non-homogeneous Random Walks with Asymptotically Zero Drifts," Journal of Theoretical Probability, Springer, vol. 26(1), pages 1-30, March.

    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:35:y:1990:i:1:p:1-9. 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.