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Document Details :

Title: On Multivariate Panjer Recursions
Author(s): SUNDT, B.
Journal: ASTIN Bulletin
Volume: 29    Issue: 1   Date: May 1999   
Pages: 29-47
DOI: 10.2143/AST.29.1.504605

Abstract :
In the present paper we generalise Panjer's (1981) recursion for compound distributions to a multivariate situation where each claim event generates a random vector. We discuss situations within insurance where such models could be applicable, and consider some special cases of the general algorithm. Finally we deduce from the algorithm a multivariate extension of De Pril's (1985) recursion for convolutions.