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Some distributional properties of a class of counting distributions with claims analysis applications
Recurso electrónico / electronic resource
MAP20130033631
Willmot, Gordon E. ‌
Some distributional properties of a class of counting distributions with claims analysis applications / Gordon E. Willmot
Sumario: 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
En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 08/07/2013 Volumen 43 Número 2 - julio 2013
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