Infinite-time absolute ruin in dependent renewal risk models with constant force of interest

被引:2
|
作者
Liu, Jiajun [1 ]
Yang, Yang [2 ,3 ]
机构
[1] Univ Liverpool, Dept Math Sci, Liverpool, Merseyside, England
[2] Nanjing Audit Univ, Dept Stat, 86 West Yushan Rd, Nanjing, Jiangsu, Peoples R China
[3] Southeast Univ, Sch Econ & Management, Nanjing, Peoples R China
基金
中国国家自然科学基金;
关键词
Absolute ruin probability; asymptotics; class L(gamma); class S(gamma); class of O-subexponential distributions; class of rapidly-varying-tailed distributions; dependence; Farlie-Gumbel-Morgenstern distribution; renewal risk model; FINITE-TIME; SUBEXPONENTIAL DISTRIBUTIONS; CONVOLUTION CLOSURE; HEAVY TAILS; PROBABILITY; ASYMPTOTICS; EQUIVALENCE; INSURANCE; BEHAVIOR; CLAIMS;
D O I
10.1080/15326349.2016.1216798
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Consider a renewal risk model with a constant premium and a constant force of interest rate, where the claim sizes and inter-arrival times follow certain dependence structures via some restriction on their copula function. Under the assumption that the distribution of the claim-size belongs to the intersection of the class S(gamma), gamma >= 0 and the class R-infinity, or a larger intersection class of O-subexponential distribution, class L(gamma) and R-infinity, the infinite-time absolute ruin probabilities are derived.
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页码:97 / 115
页数:19
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