Panaretos, John (1983): On Some Bivariate Discrete Distributions with Multivariate Components. Published in: Publicationes Mathematicae (Hungary) , Vol. 30, No. 12 (1983): pp. 177184.

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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 nonnegative, integervalued 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 XY 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 

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.unimuenchen.de/id/eprint/68041 