节点文献
带常值利息力的更新模型下绝对破产概率的渐近估计
The Asymptotic Estimate of Absolute Ruin Probabilities in the Renewal Risk Model with Constant Force of Interest
【摘要】 本文研究一类具有常值利息力的更新风险模型.对于理赔分布为重尾族类的若干情形,考虑理赔来到时刻的盈余,并将盈余过程离散化,进而利用更新函数和卷积,得到该模型当盈余趋向于无穷大时有限时间内绝对破产概率的渐近表达式.
【Abstract】 In this paper, absolute ruin problems for a kind of renewal risk model with constant interest force are studied. For certain situations of the claim distribution with heavy tail, consider the surplus of the arrival time, and discrete the surplus process, then use the method of renewal function and convolution, we present the asymptotic properties of absolute ruin probability when the initial surplus tends to infinity.
【关键词】 绝对破产概率;
常值利息力;
更新风险模型;
渐近估计;
【Key words】 Absolute ruin probability; constant force of interest; renewal risk model; asymptotic estimate.;
【Key words】 Absolute ruin probability; constant force of interest; renewal risk model; asymptotic estimate.;
【基金】 国家自然科学基金(10901003,11126238);教育部科学技术研究重点项目(211077);安徽省自然科学基金(10040606Q30,1208085MA11);安徽省杰出青年基金(1108085J08);安徽高校省级自然科学研究重大项目(KJ2012ZD01);安徽高校省级自然科学研究重点项目(KJ2011A139);宿州学院科研开放平台项目(2012YKF32)资助
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statistics , 编辑部邮箱 ,2012年06期
- 【分类号】F224;F271
- 【被引频次】1
- 【下载频次】101