相依保险风险的非参数估计

文章研究了在强混合结构下保费与风险载荷的非参数估计问题,得到了基于PH变换及条件尾期望原理的保险风险载荷与保费估计的一致强相合性,以及关于条件尾期望原理保费与风险载荷的一个中心极限定理。通过统计模拟显示相应的估计量具有较好的性质,可以作为保险实践中运用的估价量。

方差相关保费原理下基于VaR和CTE下停止–损失再保险的最优自留额比较研究

本文对停止–损失再保险模型,给出风险度量VaR和CTE值下最优自留额的存在性及解析解表达式。假设损失总量X服从指数分布,并给定几种不同的保费附加因子,通过数值模拟,比较三种方差相关保费原理下自留额解的存在性。比较得出:在三种方差相关保费原理下,CTE下自留额的存在性均优于VaR。

VAR AND CTE BASED OPTIMAL REINSURANCE FROM A REINSURER'S PERSPECTIVE

In this article,we study optimal reinsurance design.By employing the increasing convex functions as the admissible ceded loss functions and the distortion premium principle,we study and obtain the optimal reinsurance treaty by minimizing the VaR(value at risk)of the reinsurer's total risk exposure.When the distortion premium principle is specified to be the expectation premium principle,we also obtain the optimal reinsurance treaty by minimizing the CTE(conditional tail expectation)of the reinsurer's total risk exposure.The present study can be considered as a complement of that of Cai et al.[5].