Finite time Parisian ruin of an integrated Gaussian risk model

Détails

ID Serval
serval:BIB_7600D55317F4
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Finite time Parisian ruin of an integrated Gaussian risk model
Périodique
Statistics & Probability Letters
Auteur⸱e⸱s
Peng X., Luo L.
ISSN
0167-7152
Statut éditorial
Publié
Date de publication
05/2017
Peer-reviewed
Oui
Volume
124
Pages
22-29
Langue
anglais
Résumé
In this paper we investigate the finite time Parisian ruin probability for an integrated Gaussian risk process. Under certain assumptions, we find that the Parisian ruin probability and the classical ruin probability are on the log-scale asymptotically the same. Moreover, if the time length required by the Parisian ruin tends to zero as the initial reserve goes to infinity, the Parisian ruin probability and the classical one are the same also in the precise asymptotic behavior. Furthermore, we derive an approximation for the scaled conditional ruin time.
Mots-clé
Integrated Gaussian process, Parisian ruin, Method of moments, Exact asymptotics
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Création de la notice
21/01/2017 10:38
Dernière modification de la notice
21/08/2019 5:13
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