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大数定律和中心极限定理在保险业中的重要应用
引用本文:王东红.大数定律和中心极限定理在保险业中的重要应用[J].数学的实践与认识,2005,35(10):128-133.
作者姓名:王东红
作者单位:广东交通职业技术学院基础部,广东,广州,510650
摘    要:结合《车祸赔付倍涨,车险保额不涨?》报道,阐述了大数法则和中心极限理论在保险中的重要作用.经过分析计算,当机动车第三者保险金额不超过20万元时,保险公司的预期利润最有保障,这就说明了目前机动车第三者责任险最高只能投保20万元的根本原因.

关 键 词:大数法则  中心极限定理  独立同分布风险单位  第三者责任险
修稿时间:2004年10月16

The Important Application of the Great Number Law and the Central Limit Theorem in Insurance
WANG Dong-hong.The Important Application of the Great Number Law and the Central Limit Theorem in Insurance[J].Mathematics in Practice and Theory,2005,35(10):128-133.
Authors:WANG Dong-hong
Abstract:This paper introduces the important effect of the great number law and the central limit theorem in insurance in the light of the report of Whether the Car Insurance Will Rise When Compensatoin for the Accident Has Doubled over the Past.By analysis and calculation,the predicted profit of the insurance company will be best guaranteed when the vehicle insurance for a third party is less than $200,000,which gives a basic reason why the maximum of the vehicle insurance for a third party can only be insured for $200,000.
Keywords:the Law of the Great Number  the Central Limit Theorem  Independently with distribution risk unit  a third party to duty insurance  
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