Finite time Parisian ruin of an integrated Gaussian risk model

Details

Serval ID
serval:BIB_7600D55317F4
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Finite time Parisian ruin of an integrated Gaussian risk model
Journal
Statistics & Probability Letters
Author(s)
Peng X., Luo L.
ISSN
0167-7152
Publication state
Published
Issued date
05/2017
Peer-reviewed
Oui
Volume
124
Pages
22-29
Language
english
Abstract
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.
Keywords
Integrated Gaussian process, Parisian ruin, Method of moments, Exact asymptotics
Web of science
Create date
21/01/2017 10:38
Last modification date
21/08/2019 5:13
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