On the Probability and Severity of Ruin

Détails

ID Serval
serval:BIB_454314BDCFF8
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
On the Probability and Severity of Ruin
Périodique
ASTIN Bulletin
Auteur⸱e⸱s
Gerber Hans U., Goovaerts Marc J., Kaas Rob
ISSN
0515-0361
1783-1350
Statut éditorial
Publié
Date de publication
1987
Peer-reviewed
Oui
Volume
17
Numéro
02
Pages
151-163
Langue
anglais
Résumé
In the usual model of the collective risk theory, we are interested in the severity of ruin, as well as its probability. As a quantitative measure, we propose G(u, y), the probability that for given initial surplus u ruin will occur and that the deficit at the time of ruin will be less than y, and the corresponding density g(u, y). First a general answer in terms of the transform is obtained. Then, assuming that the claim amount distribution is a combination of exponential distributions, we determine g; here the roots of the equation that defines the adjustment coefficient play a central role. An explicit answer is also given in the case in which all claims are of constant size.
Open Access
Oui
Création de la notice
16/07/2018 15:45
Dernière modification de la notice
21/08/2019 6:15
Données d'usage