IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v44y1999i3p251-258.html
   My bibliography  Save this article

Extremes of Gaussian processes, on results of Piterbarg and Seleznjev

Author

Listed:
  • Hüsler, J.

Abstract

For a particular sequence of Gaussian processes we consider the maximum Mn(T) up to time T and its limiting behaviour as T=T(n) and n converges to [infinity]. This sequence occurs in the approximation of the path of the continuous Gaussian process by broken lines. This limiting behaviour was analyzed by Piterbarg and Seleznjev assuming certain conditions. We improve their result assuming a weaker long-range dependence condition.

Suggested Citation

  • Hüsler, J., 1999. "Extremes of Gaussian processes, on results of Piterbarg and Seleznjev," Statistics & Probability Letters, Elsevier, vol. 44(3), pages 251-258, September.
    • Handle: RePEc:eee:stapro:v:44:y:1999:i:3:p:251-258
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(99)00016-4
    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. Enkelejd Hashorva & Jürg Hüsler, 2000. "Extremes of Gaussian Processes with Maximal Variance near the Boundary Points," Methodology and Computing in Applied Probability, Springer, vol. 2(3), pages 255-269, 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:stapro:v:44:y:1999:i:3:p:251-258. 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.