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多期索赔次数奖惩系统拆分等级一种新方法
引用本文:李俊海,周亮亮,刘琳琳. 多期索赔次数奖惩系统拆分等级一种新方法[J]. 洛阳师范学院学报, 2014, 0(8): 101-103
作者姓名:李俊海  周亮亮  刘琳琳
作者单位:河南工业大学理学院,河南郑州450001
基金项目:国家自然科学基金(11126271);河南省教育厅科技学术基金(121311003);河南郑州市科技局自然科学基金(20111179)
摘    要:在研究依赖多期索赔次数的奖惩系统时,Centeno and Andrade通过等级拆分方法,使新奖惩系统具有一阶马氏性.然而,现有文献并没有给出规范的拆分等级方法.本文利用高阶马尔科夫链有关知识,给出了一种程序化的拆分等级法,并把它用于葡萄牙的奖惩系统,得到了与Centeno and Andrade相同的结果,验证了新方法的合理性.

关 键 词:高阶Markov链  奖惩系统  拆分等级  索赔次数

A New Level Splitting Method of Bonus Malus System Depending on the Number of Multiple Claims
LI Jun-hai,ZHOU Liang-liang,LIU Lin-lin. A New Level Splitting Method of Bonus Malus System Depending on the Number of Multiple Claims[J]. Journal of Luoyang Teachers College, 2014, 0(8): 101-103
Authors:LI Jun-hai  ZHOU Liang-liang  LIU Lin-lin
Affiliation:( Henan University of Technology, Zhengzhou 450001, China)
Abstract:In the study of bonus-malus system which depends on number of multiple claims, using the method of sub-level splitting, Centeno and Andrade make the system following a first-markov chain. However, there is not a standard method to split the level in existing literature. Based on the knowledge of higher-order Markov chain, this paper provides a procedural method, which is applied to Portugal bonus-malus system and obtains the same re- sults as the method of Centeno and Andrade ' s, to illustrate the rationale of the new method.
Keywords:high-order Markov chain  bonus-malus system  level splitting  number of claims
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