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FINITE TIME RUIN PROBABILITY IN MULTIVARIATE PERTURBED RENEWAL RISK MODEL,
Lien de l'article: http://dx.doi.org/10.17654/0972087121008
Auteur(s): Frédéric Béré, Remi Guillaume Bagré, Vini Yves Bernadin Loyara and Pierre Clovis Nitiéma
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Résumé
This paper contributes to the approach of the bivariate risk of ruin in finite time. We deal with a problem of risk of occurrence of a claim from the Cramer-Lundberg model in which there is some by-claim (more or less zero) integrating a Brownian oscillation at the level of the reserve at a given time t.
We evaluate the probability of bivariate ruin in finite time by using logistical copulas and by considering the laws of claims and of by-claims, respectively, modeled by an α-stable distribution and a β-stable distribution.
Mots-clés
stable distribution, Brownian perturbation, by-claim, heavy tail distribution, renewal equation