节点文献
稀疏二维Poisson-Geometric风险模型的生存概率
Survival Probability of Sparse 2-Dimensional Poisson-Geometric Risk Model
【摘要】 本文研究了二维Poisson-Geometric风险模型,理赔过程为稀疏相依的。利用概率论中的全概率方法,得出了满足于此二维风险模型生存概率的偏积分微分方程。利用这个二维风险模型的强马尔科夫性,得到了一个使得该模型生存函数导数连续的充分条件。
【Abstract】 This paper studies the two-dimensional Poisson-Geometric risk model, the claims process is sparse dependent. By using the total probability method in probability theory, the partial integral differential equation satisfying the survival probability of the two-dimensional risk model is obtained. Take advantage of the strong markov property of two-dimensional risk model, a sufficient condition is obtained to make the derivative of the survival function continuous.
【关键词】 二维风险模型;
Poisson-Geometric计数过程;
生存概率;
【Key words】 two-dimensional risk model; Poisson-Geometric process; survival probability;
【Key words】 two-dimensional risk model; Poisson-Geometric process; survival probability;
- 【文献出处】 南华大学学报(自然科学版) ,Journal of University of South China(Science and Technology) , 编辑部邮箱 ,2024年05期
- 【分类号】O213;F840
- 【下载频次】2