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title: Parisian ruin with power-asymmetric variance near the optimal point with application to many-inputs proportional reinsurance
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date: 2025-07-20
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year: 2023
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authors:
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- Pavel Ievlev
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venue: Stochastic Models
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type: academic
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status: published
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abstract: This paper investigates the Parisian ruin probability for processes with power-asymmetric behavior of the variance near the unique optimal point. We derive the exact asymptotics as the ruin boundary tends to infinity and extend the previous result arXiv:1504.07061 to the case when the length of Parisian interval is of Pickands scale. As a primary application, we extend the recent result arXiv:2010.00222 on the many inputs proportional reinsurance fractional Brownian motion risk model to the Parisian ruin.
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keywords:
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- Parisian ruin
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- Ruin probability
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- fractional Brownian motion
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doi: 10.1080/15326349.2023.2278527
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arxiv: "2205.14481"
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pdf:
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bibtex: |-
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@article {MR4777226,
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AUTHOR = {Ievlev, Pavel},
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TITLE = {Parisian ruin with power-asymmetric variance near the optimal point with application to many-inputs proportional reinsurance},
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