IDEAS home Printed from https://ideas.repec.org/a/spr/sistpr/v16y2013i2p113-125.html
   My bibliography  Save this article

Predicting extinction or explosion in a Galton–Watson branching process

Author

Listed:
  • Peter Guttorp
  • Michael Perlman

Abstract

Based on observations $$X_1,\dots ,X_n$$ X 1 , … , X n of successive generations of a discrete-parameter Galton–Watson branching process, one wishes to predict whether extinction or explosion will ultimately occur. This problem can be formulated as a simple hypothesis-testing problem to which the Neyman–Pearson Lemma is directly applicable if the extinction probability is known or estimable. If it is not, valid (but conservative) tests still can be obtained. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Peter Guttorp & Michael Perlman, 2013. "Predicting extinction or explosion in a Galton–Watson branching process," Statistical Inference for Stochastic Processes, Springer, vol. 16(2), pages 113-125, July.
    • Handle: RePEc:spr:sistpr:v:16:y:2013:i:2:p:113-125
    DOI: 10.1007/s11203-013-9083-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11203-013-9083-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11203-013-9083-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:spr:sistpr:v:16:y:2013:i:2:p:113-125. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.