HAL : hal-00201377, version 1

DOI : 10.1007/s11009-009-9123-9

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Methodology And Computing In Applied Probability 11, 3 (2009) 425-441

Finite-Time Ruin Probabilities for Discrete, Possibly Dependent, Claim Severities

Stéphane Loisel 1, Claude Lefèvre (  Auteur correspondant ) 2

(2009)

This paper is concerned with the compound Poisson risk model and two generalized models with still Poisson claim arrivals. One extension incorporates inhomogeneity in the premium input and in the claim arrival process, while the other takes into account possible dependence between the successive claim amounts. The problem under study for these risk models is the evaluation of the probabilities of (non-)ruin over any horizon of finite length. The main recent methods, exact or approximate, used to compute the ruin probabilities are reviewed and discussed in a unified way. Special attention is then paid to an analysis of the qualitative impact of dependence between claim amounts.

1 :	Laboratoire de Sciences Actuarielle et Financière (SAF)
	Université Claude Bernard - Lyon I : EA2429
2 :	Département de Mathématique
	Université Libre de Bruxelles

Domaine

:

Sciences de l'Homme et Société/Economies et finances Mathématiques/Probabilités

Mots Clés : compound Poisson model – ruin probability – finite-time horizon – recursive methods – (generalized) Appell polynomials – non-constant premium – non-stationary claim arrivals – interdependent claim amounts – impact of dependence – comonotonic risks – heavy-tailed distributions

hal-00201377, version 1

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Contributeur : Stéphane Loisel <>

Soumis le : Vendredi 28 Décembre 2007, 13:23:34

Dernière modification le : Jeudi 13 Août 2009, 23:21:35