IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v94y2001i2p271-300.html
   My bibliography  Save this article

On extremes and streams of upcrossings

Author

Listed:
  • Albin, J. M. P.

Abstract

We study relations between P{supt[set membership, variant][0,h] [xi](t)>u} and for a stationary process [xi](t). Applications include Markov jump processes, [alpha]-stable processes, and quadratic functionals of Gaussian processes.

Suggested Citation

  • Albin, J. M. P., 2001. "On extremes and streams of upcrossings," Stochastic Processes and their Applications, Elsevier, vol. 94(2), pages 271-300, August.
    • Handle: RePEc:eee:spapps:v:94:y:2001:i:2:p:271-300
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(01)00084-9
    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.

    References listed on IDEAS

    as
    1. Samorodnitsky, Gennady, 1988. "Extrema of skewed stable processes," Stochastic Processes and their Applications, Elsevier, vol. 30(1), pages 17-39, November.
    2. Albin, J. M. P., 2000. "Extremes and upcrossing intensities for P-differentiable stationary processes," Stochastic Processes and their Applications, Elsevier, vol. 87(2), pages 199-234, June.
    3. Albin, J. M. P., 1992. "Extremes and crossings for differentiable stationary processes with application to Gaussian processes in m and Hilbert space," Stochastic Processes and their Applications, Elsevier, vol. 42(1), pages 119-147, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aue, Alexander & Horvth, Lajos & Huskov, Marie, 2009. "Extreme value theory for stochastic integrals of Legendre polynomials," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 1029-1043, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Albin, J. M. P., 2000. "Extremes and upcrossing intensities for P-differentiable stationary processes," Stochastic Processes and their Applications, Elsevier, vol. 87(2), pages 199-234, June.
    2. Albin, J. M. P., 1998. "A note on Rosenblatt distributions," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 83-91, September.
    3. Albin, J. M. P., 1999. "Extremes of totally skewed [alpha]-stable processes," Stochastic Processes and their Applications, Elsevier, vol. 79(2), pages 185-212, February.

    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:94:y:2001:i:2:p:271-300. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.