IDEAS home Printed from
   My bibliography  Save this paper

Unique Properties of Some Distributions and Their Applications


  • Panaretos, John


In many practical situations bivariate probability distributions are used whose marginals are of the same form. Sometimes however, in cases of a not too good fit, one of the marginals appears to describe the corresponding observed data exceptionally well while the other provides a rather poor fit. The bivariate model then has to be questioned. This paper suggests ways in which characterization theorems can be used to explain this paradox and also guide the investigator's choice towards possible alternative models that might provide a better fit

Suggested Citation

  • Panaretos, John, 1982. "Unique Properties of Some Distributions and Their Applications," MPRA Paper 6245, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6245

    Download full text from publisher

    File URL:
    File Function: original version
    Download Restriction: no

    More about this item


    Poisson Distribution; Negative Binomial Distribution; Binomial Distribution; Compounding; Characterization; Accident Statistics;

    JEL classification:

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


    Access and download statistics


    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:6245. 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: .

    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.