=Y. We show that in the case where the distribution of (YlX=n) is of a certain structural form then there exists a relationship between the distributions of Y and of Y|(X=Y) which uniquely determines the distribution of X. The relationship in question is less stringent that the condition of independence between Y and X-Y usually involved in pro¬blems of this nature. Examples are given to illustrate the result. The case where X,Y have infinite support has been examined earlier by the author."> =Y. We show that in the case where the distribution of (YlX=n) is of a certain structural form then there exists a relationship between the distributions of Y and of Y|(X=Y) which uniquely determines the distribution of X. The relationship in question is less stringent that the condition of independence between Y and X-Y usually involved in pro¬blems of this nature. Examples are given to illustrate the result. The case where X,Y have infinite support has been examined earlier by the author.">
Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/68041.html
   My bibliography  Save this paper

On Some Bivariate Discrete Distributions with Multivariate Components

Author

Listed:
  • Panaretos, John
Abstract
Consider a random vector (X,Y) where X=(X1,X2, ...., Xs,) and Y=(Y1,Y2, ...., Ys) with Xi, Yi, i=1,2,..., s independent non-negative, integer-valued random variables with finite support and such that X>=Y. We show that in the case where the distribution of (YlX=n) is of a certain structural form then there exists a relationship between the distributions of Y and of Y|(X=Y) which uniquely determines the distribution of X. The relationship in question is less stringent that the condition of independence between Y and X-Y usually involved in pro¬blems of this nature. Examples are given to illustrate the result. The case where X,Y have infinite support has been examined earlier by the author.

Suggested Citation

  • Panaretos, John, 1983. "On Some Bivariate Discrete Distributions with Multivariate Components," MPRA Paper 68041, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:68041
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/68041/1/Panaretos-PublMath1983%28177-184%29ft.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
    2. Panaretos, John, 1982. "On Characterizing Some Discrete Distributions Using an Extension of the Rao-Rubin Theorem," MPRA Paper 6229, University Library of Munich, Germany.
    3. Panaretos, John, 1981. "A Characterization of the Negative Multinomial Distribution," MPRA Paper 6227, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
    2. Panaretos, John, 1982. "On a Structural Property of Finite Distributions," MPRA Paper 6242, University Library of Munich, Germany.
    3. Panaretos, John, 1984. "Partial Independence and Finite Distributions," MPRA Paper 6247, University Library of Munich, Germany.

    More about this item

    Keywords

    Finite Distributions; Conditional Distribution; Multiple Binomial Distri¬bution; Multiple Hypergeometric Distribution; Characterization.;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - 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:68041. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.