IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v37y1998i3p279-285.html
   My bibliography  Save this article

Small deviations for the Poisson process

Author

Listed:
  • Alvarez-Andrade, Sergio

Abstract

Let be a Poisson process, we study the asymptotic estimates for probabilities of the form , where r> 0, [latin small letter f with hook] [set membership, variant] K where K is the Strassen's set and at is a real sequence satisfying suitable conditions of growth and regularity. This type of result for Poisson process seems new. Finally, we establish a result of Chung's type for the Poisson process.

Suggested Citation

  • Alvarez-Andrade, Sergio, 1998. "Small deviations for the Poisson process," Statistics & Probability Letters, Elsevier, vol. 37(3), pages 279-285, March.
  • Handle: RePEc:eee:stapro:v:37:y:1998:i:3:p:279-285
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00128-4
    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.

    References listed on IDEAS

    as
    1. Horváth, Lajos, 1984. "Strong approximation of renewal processes," Stochastic Processes and their Applications, Elsevier, vol. 18(1), pages 127-138, September.
    Full references (including those not matched with items on IDEAS)

    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. Alvarez-Andrade, Sergio, 1998. "Small deviations for the Poisson process," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 195-201, 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:stapro:v:37:y:1998:i:3:p:279-285. 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/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.