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具有常数利率的延迟更新风险模型(英文)
The Delayed Renewal Risk Model with Constant Interest
【摘要】 考虑常数利率情形下的延迟更新风险过程.得到了该延迟更新风险模型下的Gerber-Shiu期望折现罚金函数的表达式,并得到了常数利率下的一种特殊的延迟更新风险模型的破产概率的显示表达式.
【Abstract】 We consider a delayed renewal risk model with constant interest. The main result is an expression of the Gerber-Shiu discounted penalty function in the delayed renewal risk model with constant interest in terms of the corresponding Gerber-Shiu function in the non-delayed renewal risk model with constant interest. Subsequently, we present the exact expressions for the ruin probability in a special case of the delayed renewal risk processes with constant interest.
【关键词】 延迟更新风险模型;
常数利率;
破产概率;
Gerber-Shiu期望折罚函数;
【Key words】 delayed renewal risk model; constant interest; ruin probability; Gerber-Shiu expected discounted penalty function;
【Key words】 delayed renewal risk model; constant interest; ruin probability; Gerber-Shiu expected discounted penalty function;
【基金】 湖南省教育厅项目(16C0952);国家自然科学基金青年基金项目(11701175)
- 【文献出处】 经济数学 ,Journal of Quantitative Economics , 编辑部邮箱 ,2019年04期
- 【分类号】F830;F224
- 【下载频次】66