Panaretos, John
(1983):
*On Some Bivariate Discrete Distributions with Multivariate Components.*
Published in: Publicationes Mathematicae (Hungary)
, Vol. 30, No. 1-2
(1983): pp. 177-184.

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## 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.

Item Type: | MPRA Paper |
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Original Title: | On Some Bivariate Discrete Distributions with Multivariate Components |

Language: | English |

Keywords: | Finite Distributions, Conditional Distribution, Multiple Binomial Distri¬bution, Multiple Hypergeometric Distribution, Characterization. |

Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C00 - General |

Item ID: | 68041 |

Depositing User: | J Panaretos |

Date Deposited: | 25 Nov 2015 16:22 |

Last Modified: | 11 Oct 2019 16:27 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/68041 |