IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v22y1995i1p59-69.html
   My bibliography  Save this article

Conditioned superprocesses and their weighted occupation times

Author

Listed:
  • Krone, Stephen M.

Abstract

A superprocess which starts at a finite measure will die in finite time. We consider a class of measure-valued Markov processes obtained by conditioning such a process to stay alive forever. More specifically, we study the asymptotic behavior of the weighted occupation times for these "conditioned superprocesses". We give necessary and sufficient conditions, based on the asymptotics of the underlying motion, for the total occupation time to be infinite. Some special cases are investigated. We also prove that, when properly scaled, the occupation times for conditioned super-Brownian motion converge to a function of the local time when d [less-than-or-equals, slant] 3.

Suggested Citation

  • Krone, Stephen M., 1995. "Conditioned superprocesses and their weighted occupation times," Statistics & Probability Letters, Elsevier, vol. 22(1), pages 59-69, January.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:1:p:59-69
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(94)00050-I
    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:stapro:v:22:y:1995:i:1:p:59-69. 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.