On Some Bivariate Discrete Distributions with Multivariate Components

John Panaretos

MPRA Paper from University Library of Munich, Germany

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.

Keywords: Finite Distributions; Conditional Distribution; Multiple Binomial Distri¬bution; Multiple Hypergeometric Distribution; Characterization. (search for similar items in EconPapers)
JEL-codes: C00 (search for similar items in EconPapers)
Date: 1983
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Published in Publicationes Mathematicae (Hungary) 1-2.30(1983): pp. 177-184

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