| 一种基于PSO的改进光流算法 |
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| 引用本文： | 刘建,李峰,周书仁,黄龙. 一种基于PSO的改进光流算法[J]. 湖南农业大学学报(自然科学版), 2014, 0(4): 68-73 |
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| 作者姓名： | 刘建 李峰 周书仁 黄龙 |
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| 作者单位： | （1. 中国人民大学 应用统计科学研究中心, 北京 100872; 2. 北京石油化工学院 数理系, 北京 102617） |
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| 摘 要： | 在假设各个业务线的增量已决赔款服从伽玛分布、逆高斯分布和对数正态分布的基础上, 建立了各个业务线增量已决赔款的GAMLSS模型, 并将此模型应用于一组具有明显异方差的车险数据, 拟合效果优于均值回归模型. 另外, 在多个业务线的准备金估计中, 不同业务线之间的相依性通过藤Copula函数来描述. 用D藤Copula描述相依关系的GAMLSS模型对准备金的评估结果既优于独立假设下的GAMLSS模型和链梯法对准备金的评估结果,同时还刻画了不同业务线之间的尾部相依性.
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| 关 键 词： | 非寿险；准备金；相依风险；藤Copula；GAMLSS模型 |
An Efficient Optical Flow Method Based on PSO Algorithm |
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| LIU Jian,LI Feng,ZHOU Shu-ren,HUANG Long. An Efficient Optical Flow Method Based on PSO Algorithm[J]. Journal of Hunan Agricultural University, 2014, 0(4): 68-73 |
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| Authors: | LIU Jian LI Feng ZHOU Shu-ren HUANG Long |
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| Affiliation: | (1. Center for Applied Statistics, Renmin University of China, Beijing 100872, China; 2. Department of Mathematics and Physics, Beijing Institute of Petro-chemical Technology, Beijing 102617, China) |
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| Abstract: | Under the assumption that the incremental paid claims of every line of business follow gamma distribution, inverse-Gaussian distribution and log-normal distribution, respectively, the corresponding GAMLSS models were established. The models were applied to a heteroscedastic data set of auto insurance claims, and the result shows that GAMLSS models are superior to mean regression models in predicting outstanding claim reserve. In practice, different lines of insurance business are, to some extent and their dependence can be captured by Vine Copula functions. The corresponding Vine Copula and GAMLSS models were established. The result shows that D Vine Copula-based GAMLSS model is superior to independent GAMLSS models and Chain Ladder method in claims reserving, and it also describes the tail dependence of different lines of business. |
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| Keywords: | non-life insurance reserve dependent risks Vine Copula GAMLSS |
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