Ruin excursions, the G/G/Infinity queue and tax payments in renewal risk models

Détails

Ressource 1Télécharger: BIB_C7E4C7DAFA6E.P001.pdf (241.46 [Ko])
Etat: Public
Version: de l'auteur⸱e
ID Serval
serval:BIB_C7E4C7DAFA6E
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Ruin excursions, the G/G/Infinity queue and tax payments in renewal risk models
Périodique
Journal of Applied Probability
Auteur⸱e⸱s
Albrecher H., Borst S., Boxma O., Resing J.
ISSN
0021-9002
Statut éditorial
Publié
Date de publication
2011
Peer-reviewed
Oui
Volume
48A
Pages
3-14
Langue
anglais
Résumé
In this paper we investigate the number and maximum severity of the ruin excursion of the insurance portfolio reserve process in the Cramer-Lundberg model with and without tax payments. We also provide a relation of the Cramer-Lundberg risk model with the G/G/infinity queue and use it to derive some explicit ruin probability formulae. Finally, the renewal risk model with tax is considered, and an asymptotic identity is derived that in some sense extends the tax identity of the Cramer-Lundberg risk model.
Mots-clé
Classical risk model, Ruin probability, G/G/infinity queue, Tax, Renewal model
Web of science
Open Access
Oui
Création de la notice
15/10/2010 11:11
Dernière modification de la notice
20/08/2019 16:43
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