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Asymptotic estimates of Gerber-Shiu functions in the renewal risk model with exponential claims
被引:0
|作者:
Wei, Li
[1
,2
]
机构:
[1] Renmin Univ China, Sch Finance, Beijing 100872, Peoples R China
[2] Renmin Univ China, China Financial Policy Res Ctr, Beijing 100872, Peoples R China
来源:
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
|
2012年
/
28卷
/
01期
关键词:
asymptotics;
exponential claims;
Gerber-Shiu functions;
renewal risk model;
PROBABILITY;
RUIN;
D O I:
10.1007/s10255-012-0121-2
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This paper continues to study the asymptotic behavior of Gerber-Shiu expected discounted penalty functions in the renewal risk model as the initial capital becomes large. Under the assumption that the claim-size distribution is exponential, we establish an explicit asymptotic formula. Some straightforward consequences of this formula match existing results in the field.
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页码:31 / 38
页数:8
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