IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v9y1979i3p307-318.html
   My bibliography  Save this article

Bayesian non-parametric estimation for age-dependent branching processes

Author

Listed:
  • Johnson, Richard A.
  • Susarla, V.
  • van Ryzin, John

Abstract

The purpose of this paper is to obtain Bayes estimators for both the offspring and life-length distribution in the context of a Bellman-Harris age-dependent branching process. We take a non-parametric approach by letting the prior random distributions, for the offspring and life-length distributions, be independent Dirichlet processes. Our primary results concern the derivation of Bayes estimators, under weighted squared error loss for each distribution. We also indicate some of their asymptotic properties and briefly discuss the modifications that become necessary when the initial information is such that the prior random distribution cannot be taken to be independent.

Suggested Citation

  • Johnson, Richard A. & Susarla, V. & van Ryzin, John, 1979. "Bayesian non-parametric estimation for age-dependent branching processes," Stochastic Processes and their Applications, Elsevier, vol. 9(3), pages 307-318, December.
    • Handle: RePEc:eee:spapps:v:9:y:1979:i:3:p:307-318
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(79)90052-8
    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. Johnson, Richard A. & Evans, James W. & Green, David W., 1999. "Nonparametric Bayesian predictive distributions for future order statistics," Statistics & Probability Letters, Elsevier, vol. 41(3), pages 247-254, February.
    2. Hoffmann, Marc & Olivier, Adélaïde, 2016. "Nonparametric estimation of the division rate of an age dependent branching process," Stochastic Processes and their Applications, Elsevier, vol. 126(5), pages 1433-1471.
    3. Johnson, Richard A. & Taylor, James R., 2008. "Preservation of some life length classes for age distributions associated with age-dependent branching processes," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2981-2987, December.

    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:9:y:1979:i:3:p:307-318. 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/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.