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引用本文:?????\??Ч??.?????β?????μ??????????????????[J].应用概率统计,2018,34(1):21-36.
作者姓名:?????\??Ч??
作者单位:??????????????, ???, 362021\??????????????, ??????????, 07030
摘    要:

关 键 词:???????仯    k-out-of-n?????    ??????β????  

Asymptotic Finite-Time Ruin Probability for Multivariate Heavy-Tailed Claims
WU JinTang\LI XiaoHu.Asymptotic Finite-Time Ruin Probability for Multivariate Heavy-Tailed Claims[J].Chinese Journal of Applied Probability and Statisties,2018,34(1):21-36.
Authors:WU JinTang\LI XiaoHu
Institution:School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China\Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ 07030, USA
Abstract:This note deals with an insurance company with multiple lines of business. In the context of heavy-tailed heterogeneous claim amounts with the 1st upper-orthant tail dependence, based on the so-called k-out-of-n ruin set, we can exhibit the Radon measure mu and derive the asymptotic ruin probability for some of all lines business to ruin in a finite time. One numerical example is also presented to illustrate our main results.
Keywords:multivariate regular variation  k-out-of-n ruin set  upper-orthant tail dependence  
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