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Document Details :

Title: Recursive Formulae for Some Bivariate Counting Distributions Obtained by the Trivariate Reduction Method
Author(s): WALHIN, J.F. , PARIS, J.
Journal: ASTIN Bulletin
Volume: 30    Issue: 1   Date: May 2000   
Pages: 141-156
DOI: 10.2143/AST.30.1.504630

Abstract :
In this paper we study some bivariate counting distributions that are obtained by the trivariate reduction method. We work with Poisson compound distributions and we use their good properties in order to derive recursive algorithms for the bivariate distribution and bivariate aggregate claims distribution. A data set is also fitted.