Uniform asymptotics of the finite-time ruin probability for all times

被引:70
作者
Wang, Yuebao [1 ]
Cui, Zhaolei [1 ,2 ]
Wang, Kaiyong [1 ,3 ]
Ma, Xiuli [1 ]
机构
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
[2] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
[3] Suzhou Univ Sci & Technol, Sch Math & Phys, Suzhou 215009, Peoples R China
基金
美国国家科学基金会;
关键词
Uniform asymptotics; Finite-time ruin probability; Strong subexponential claim sizes; Widely orthant dependent inter-occurrence times; RANDOM-VARIABLES; RANDOM-WALK; SUMS; BEHAVIOR; SUPREMUM; MAXIMA;
D O I
10.1016/j.jmaa.2012.01.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the asymptotics of the finite-time ruin probability for a generalized renewal risk model with independent strong subexponential claim sizes and widely lower orthant dependent inter-occurrence times. This widely lower orthant dependence structure can include some common negative dependent random variables (r.v.s) such as negatively lower orthant dependent r.v.s, some positive dependent r.v.s and some other dependent r.v.s. For this generalized renewal risk model, we show that the asymptotics of the finite-time ruin probability hold uniformly for all times in the sense that the magnitude of the initial reserve of some insurance portfolio does not influence the length of the operating time. Further, the uniform asymptotics of the random-time ruin probability in the above model have been obtained. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:208 / 223
页数:16
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