节点文献
对于大额索赔的平衡更新模型的破产概率
RUIN PROBABILITIES FOR LARGE CLAIMS IN EQUILIBRIUM RENEWAL MODEL
【摘要】 本文研究平衡更新风险模型的破产概率ψ(x),这里x为保险公司初始的资本金.在假定索赔额服从重尾分布的条件下,给出了当x→∞时;ψ(x)的尾等价关系,所得结果与经典的Cramer-Lundbeng模型下的结论完全一致.
【Abstract】 This paper investigates ruin probabilities ψ(x) in the equilibrium renewal risk model, where x is the initial capital of an insurance company. Under the assumption that the claim size is heavy-tailed, we aim at a tail equivalence relationship of ψ(x) as x→∞and obtain the desired result in the paper, which is surprisingly the same as that in the Cramer-Lundberg model.
【关键词】 重尾分布;
阶梯高度;
破产概率;
风险模型;
更新过程;
【Key words】 Heavy-tailed distributions; Ladder height; Ruin probabilities; Risk model; Renewal process;
【Key words】 Heavy-tailed distributions; Ladder height; Ruin probabilities; Risk model; Renewal process;
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2002年04期
- 【分类号】O211.3
- 【被引频次】39
- 【下载频次】235