IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/6227.html
   My bibliography  Save this paper

A Characterization of the Negative Multinomial Distribution

Author

Listed:
  • Panaretos, John

Abstract

This paper deals with a characterization of the negative multinomial distribution. It is based on the assumption that the conditional distribution of two random vectors is multivariate inverse hypergeometric. It makes use essentially of a multivariate analogue of a condition known in the literature as the Rao-Rubin condition. The result is extended to include characterizations of truncated forms of the negative multinomial distribution. Comparison with previous results in the field is made and an example is included to demonstrate a possible use of the characterization

Suggested Citation

  • Panaretos, John, 1981. "A Characterization of the Negative Multinomial Distribution," MPRA Paper 6227, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6227
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/6227/1/MPRA_paper_6227.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Panaretos, John, 1982. "On Characterizing Some Discrete Distributions Using an Extension of the Rao-Rubin Theorem," MPRA Paper 6229, University Library of Munich, Germany.
    2. Xekalaki, Evdokia & Panaretos, John, 1979. "Characterization of the Compound Poisson Distribution," MPRA Paper 6221, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Panaretos, John, 1983. "On Some Bivariate Discrete Distributions with Multivariate Components," MPRA Paper 68041, University Library of Munich, Germany.

    More about this item

    Keywords

    Negative multinomial distribution; multivariate inverse hypergeometric distribution; truncated negative multinomial distribution; Rao-Rubin condition; Shanbhag's lemma;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    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:pra:mprapa:6227. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.