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Uniform asymptotics for a multi-dimensional time-dependent risk model with multivariate regularly varying claims and stochastic return

Jinzhu Li

Insurance: Mathematics and Economics, 2016, vol. 71, issue C, 195-204

Abstract: This paper is devoted to asymptotic analysis for a multi-dimensional risk model with a general dependence structure and stochastic return driven by a geometric Lévy process. We take into account both the dependence among the claim sizes from different lines of businesses and that between the claim sizes and their common claim-number process. Under certain mild technical conditions, we obtain for two types of ruin probabilities precise asymptotic expansions which hold uniformly for the whole time horizon.

Keywords: Asymptotics; Dependence; Lévy process; Multi-dimensional risk model; Multivariate regular variation; Stochastic return; Ruin probability (search for similar items in EconPapers)
Date: 2016
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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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