Dębicki, K, Hashorva, E and Ji, L orcid.org/0000-0002-7790-7765 (2015) Parisian ruin of self-similar Gaussian risk processes. Journal of Applied Probability, 52 (03). pp. 688-702. ISSN 0021-9002
Abstract
In this paper we derive the exact asymptotics of the probability of Parisian ruin for self-similar Gaussian risk processes. Additionally, we obtain the normal approximation of the Parisian ruin time and derive an asymptotic relation between the Parisian and the classical ruin times.
Metadata
| Item Type: | Article | 
|---|---|
| Authors/Creators: | 
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| Copyright, Publisher and Additional Information: | © 2015, Applied Probability Trust. This is an author produced version of an article published in Journal of Applied Probability. Uploaded in accordance with the publisher's self-archiving policy. | 
| Keywords: | Parisian ruin time; Parisian ruin probability; self-similar Gaussian process; fractional Brownian motion; normal approximation; generalized Pickands' constant | 
| Dates: | 
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| Institution: | The University of Leeds | 
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) | 
| Depositing User: | Symplectic Publications | 
| Date Deposited: | 26 Jun 2019 14:42 | 
| Last Modified: | 27 Jun 2019 21:33 | 
| Status: | Published | 
| Publisher: | Cambridge University Press | 
| Identification Number: | 10.1239/jap/1445543840 | 
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:147168 | 

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