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双更新风险模型
引用本文:李俊海,刘再明. 双更新风险模型[J]. 应用数学学报, 2006, 29(2): 344-351
作者姓名:李俊海  刘再明
作者单位:1. 中南大学数学学院概率统计研究所,长沙,410075;河南工业大学数学系,郑州,450052
2. 中南大学数学学院概率统计研究所,长沙,410075
摘    要:
本文讨论了具有两个到达过程的更新模型,在只要求点间间距的分布是绝对连续的简单条件下,利用鞅的乘积性质,得到了最终破产概率和有限时间破产概率的一个上界.

关 键 词:乘积鞅  更新过程  破产概率
收稿时间:2004-03-15
修稿时间:2004-03-152004-12-24

On Two Renewal Risk Process
LI JUNHAI,LIU ZAIMING. On Two Renewal Risk Process[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(2): 344-351
Authors:LI JUNHAI  LIU ZAIMING
Affiliation:School of Mathematics, Central South University, Changsha 410075; Department of Mathematics, Henan University of Technology, Zhengzhou 450052
Abstract:
In this paper a renewal model with two independent arrival processes was considered. Under the only condition of that the distribution of inter-occurence time is absolutely continuouse, with the help of product of two martingales, up-bounds of ultimate ruin probabilities and finite time ruin founction are obtained.
Keywords:producted martingale   renewal process   ruin probability
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