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
ISSN
0515-0361
1783-1350
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 14:45
Dernière modification de la notice
21/08/2019 5:15