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随机保费收入下的Erlang(2)风险模型
On Erlang(2)risk model with stochastic premium income
【摘要】 主要对索赔计数过程是Erlang(2)过程、保费收入为复合Poisson过程的风险模型进行了讨论。利用余额过程在索赔时刻具有强马氏性,得到最终破产概率的积分方程,最后推出最终破产概率的Lundberg上界。
【Abstract】 The risk model for which the claim inter-arrival distribution is Erlang(2)and the arrival of premium income is a compound Poisson process is considered in this paper.According to the strong Markov property of surplus process at the moments of claims,the integral equation for ruin probability is derived.Finally the Lundberg upper bound for ruin probability is obtained.
【关键词】 Erlang(2)风险模型;
强马氏性;
最终破产概率;
Lundberg上界;
【Key words】 Erlang(2)risk model; strong Markov property; ruin probability; Lundberg upper bound;
【Key words】 Erlang(2)risk model; strong Markov property; ruin probability; Lundberg upper bound;
- 【文献出处】 燕山大学学报 ,Journal of Yanshan University , 编辑部邮箱 ,2007年05期
- 【分类号】O211.67
- 【被引频次】6
- 【下载频次】103