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Asymptotic ruin probabilities for a two-dimensional risk model with dependent claims and stochastic return

Jinzhu Li

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 16, 5773-5784

Abstract: We consider a continuous-time two-dimensional risk model, in which the claims from the two lines of insurance businesses satisfy an extensive asymptotic independence structure and the stochastic return is driven by a geometric Lévy process. Under a mild technical condition regarding the Laplace exponent of the Lévy process, we obtain explicit asymptotic expansions for both finite-time and infinite-time ruin probabilities when the claim sizes have regularly varying distributions.

Date: 2024
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DOI: 10.1080/03610926.2023.2232906

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