退保因素下保费收入为复合Poisson过程的风险模型
A Risk Model of Premium Income with Refunding That Follows Compound Poisson Processes
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摘要: 研究了一类风险过程,其中保费收入为复合Poisson过程,描述索赔及退保的计数过程分别为保单到达过程的P-稀疏过程与q-稀疏过程.运用鞅方法得出了破产概率满足的Lundberg不等式和一般公式,并通过数值计算分析了初始资本、期望理赔额及理赔比例、退保比例对保险公司破产概率的影响.Abstract: In this article, a risk model is considered where premium income follows compound Poisson processes. The arrival of the claims and the occurrence of the refunding are described as a p-thinning processes and q-thinning processes. By applying the martingale approach, the Lundberg inequality and the formula of the ruin probability are obtained. The effects of initial capital, expected claim amounts, proportions of the claim and the refunding on the ruin probability of the insurance company are analyzed by numerical computation.
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