A diffusion perturbed risk process with Stochastic return on investments

被引:2
|
作者
Yin, CC
Chiu, SN [1 ]
机构
[1] Hong Kong Baptist Coll, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Oufu Normal Univ, Dept Math, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
risk process; rime of ruin; ruin probability; Stochastic return;
D O I
10.1081/SAP-120028594
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A general risk model that allows for stochastic return on investments as well as perturbation by diffusion is studied. Integro-differential equations for the distributions of the time of ruin, the surplus prior to ruin and the deficit at ruin of this model are established. In particular, we consider a diffusion perturbed risk model with interest force in details.
引用
收藏
页码:341 / 353
页数:13
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