Journal of Applied Probability

Parisian ruin of self-similar Gaussian risk processes

Krzysztof Dębicki, Enkelejd Hashorva, and Lanpeng Ji

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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.

Article information

J. Appl. Probab., Volume 52, Number 3 (2015), 688-702.

First available in Project Euclid: 22 October 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60G15: Gaussian processes
Secondary: 60G70: Extreme value theory; extremal processes

Parisian ruin time Parisian ruin probability self-similar Gaussian process fractional Brownian motion normal approximation generalized Pickands' constant


Dębicki, Krzysztof; Hashorva, Enkelejd; Ji, Lanpeng. Parisian ruin of self-similar Gaussian risk processes. J. Appl. Probab. 52 (2015), no. 3, 688--702. doi:10.1239/jap/1445543840.

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