演讲题目：Nonparametric estimate of the ruin probability in a class of Levy risk models
演讲人：张志民 博士 （重庆大学统计与精算学系）
报告时间：2012年12月12日 上午10:00
报告地点：中央财经大学学术会堂南楼506精算院会议室
摘要：
In ruin theory, a lot of approaches have been used to analyze ruin probability in various risk models. However, in practical situations, instead of knowing the specific model one can only obtain the data on the surplus. This motivates us to study the ruin problems by statistical methodology. In this talk, we propose a nonparametric estimator of the ruin probability in a pure-jump Levy risk model. Assume that high-frequency observed data on the aggregate claims process is available. The estimator is based on Pollaczeck-Khinchine formula and Fourier transform. Risk bounds as well as a data-driven cut-off selection methodology are presented. Simulation studies are also given to show the finite sample performance of our estimator.
