节点文献
延迟更新模型破产严重程度矩的一个等价式
Moments of Severity of Ruin in Delayed Renewal Model Under Heavy-tailed Claims
【摘要】 设AD(u)表示延迟更新风险模型中破产时刻保险公司的亏损额,其中u为公司的初始资金.在索赔额的平衡分布为次指数族的条件下,得到了关于AD(u)的 矩的一个等价公式.
【Abstract】 Let AD(u) be the deficit at ruin in the delayed renewal risk model, where u is the initial capital of the company. Under the assumption that the equilibrium distribution of the claim size belongs to the subexponential class, this paper obtains an asymptotic formula for the moment of AD(u). This result improves the related works in the recent literatures.
【关键词】 次指数族;
矩;
破产概率;
破产严重程度;
尾等价;
延迟更新模型;
【Key words】 subexponential class; -moment; severity of ruin; ruin probabilities; tail-equivalence; delayed renewal risk model;
【Key words】 subexponential class; -moment; severity of ruin; ruin probabilities; tail-equivalence; delayed renewal risk model;
【基金】 国家自然科学基金资助项目(10071081)
- 【文献出处】 中国科学技术大学学报 ,Journal of University of Science and Technology of China , 编辑部邮箱 ,2003年04期
- 【分类号】F224
- 【被引频次】4
- 【下载频次】57