IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v16y1984i2p179-188.html
   My bibliography  Save this article

Negative binomial distributions for point processes

Author

Listed:
  • Gregoire, Gérard

Abstract

Negative binomial point processes are defined for which all finite-dimensional distributions associated with disjoint bounded Borel sets are negative binomial in the usual sense. For these processes we study classical notions such as infinite divisibility, conditional distributions, Palm probabilities, convergence, etc. Negative binomial point processes appear to be of interest because they are mathematically tractable models which can be used in many situations. The general results throw some new light on some well-known special cases like the Polya process and the Yule process.

Suggested Citation

  • Gregoire, Gérard, 1984. "Negative binomial distributions for point processes," Stochastic Processes and their Applications, Elsevier, vol. 16(2), pages 179-188, February.
  • Handle: RePEc:eee:spapps:v:16:y:1984:i:2:p:179-188
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(84)90018-8
    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. Yuguang Ipsen & Ross Maller & Soudabeh Shemehsavar, 2020. "Limiting Distributions of Generalised Poisson–Dirichlet Distributions Based on Negative Binomial Processes," Journal of Theoretical Probability, Springer, vol. 33(4), pages 1974-2000, December.
    2. Ipsen, Yuguang & Maller, Ross & Shemehsavar, Soudabeh, 2020. "Size biased sampling from the Dickman subordinator," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6880-6900.
    3. Ipsen, Yuguang & Maller, Ross & Resnick, Sidney, 2019. "Ratios of ordered points of point processes with regularly varying intensity measures," Stochastic Processes and their Applications, Elsevier, vol. 129(1), pages 205-222.

    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:spapps:v:16:y:1984:i:2:p:179-188. 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.