汽车保险中的BMS

Bonus-Mains Systems in Automobile Insurance

  • 摘要: BMS在汽车保险中的应用是十分广泛的.本文讨论了如何在汽车保险中更有效地应用BMS的方法,包括三部分:第一部分评介了基于索赔次数模型的最优BMS;第二部分提出了公平BMS的方法并讨论了其性质;第三部分分析了如何在BMS中不仅考虑索赔次数而且考虑索赔额之大小,这里假设给定个体保单的索赔额服从参数为θ的指数分布,而保单组合关于θ的结构函数为伽玛分布。

     

    Abstract: Bonus-Mains systems are widely used in automobile insurance. In this paper some ideas of how to make BMS more effective in automobile insurance are discussed. At first part, we introduce the optimal BMS that have have been presented by Lemaire (1995). At second part, some faults of optimal BMS are shown and absolutely fair BMS and relatively fair BMS are presented. At last part, we show how to consider claim size in optimal BMS when supposed that claim size of a policyholder is all exponential variable with parameter θ and in the portfolio θ varies from one policyholder to another and is a Gamma distribution.

     

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