IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v79y2009i13p1512-1521.html
   My bibliography  Save this article

Critical randomly indexed branching processes

Author

Listed:
  • Mitov, Georgi K.
  • Mitov, Kosto V.
  • Yanev, Nikolay M.

Abstract

Bienaymé-Galton-Watson branching processes subordinated to a continuous time random index are considered. The branching processes are assumed to be critical with finite or infinite offspring variance. The indexing process is assumed to be a renewal one with finite or infinite mean of the interarrival times. Under these conditions we prove the asymptotic formulas for the first two moments and for the probability of non-extinction. We also obtain proper limiting distributions under suitable normalization.

Suggested Citation

  • Mitov, Georgi K. & Mitov, Kosto V. & Yanev, Nikolay M., 2009. "Critical randomly indexed branching processes," Statistics & Probability Letters, Elsevier, vol. 79(13), pages 1512-1521, July.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:13:p:1512-1521
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(09)00114-X
    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. Gao, Zhenlong & Wang, Weigang, 2015. "Large deviations for a Poisson random indexed branching process," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 143-148.
    2. Gao, Zhenlong & Zhang, Yanhua, 2015. "Large and moderate deviations for a class of renewal random indexed branching process," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 1-5.
    3. Gao, Zhenlong & Wang, Weigang, 2016. "Large and moderate deviations for a renewal randomly indexed branching process," Statistics & Probability Letters, Elsevier, vol. 116(C), pages 139-145.

    More about this item

    Statistics

    Access and download statistics

    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:79:y:2009:i:13:p:1512-1521. 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.