Publisher： Cambridge University Press
E-ISSN： 1783-1350|43|2|189-212
ISSN： 0515-0361
Source： ASTIN Bulletin, Vol.43, Iss.2, 2013-06, pp. : 189-212
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Abstract
We discuss a class of counting distributions motivated by a problem in discrete surplus analysis, and special cases of which have applications in stop-loss, discrete Tail value at risk (TVaR) and claim count modelling. Explicit formulas are developed, and the mixed Poisson case is considered in some detail. Simplifications occur for some underlying negative binomial and related models, where in some cases compound geometric distributions arise naturally. Applications to claim count and aggregate claims models are then given.
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