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MLINEX损失函数下具有风险相依效应的信度模型
引用本文:李新鹏,吴黎军.MLINEX损失函数下具有风险相依效应的信度模型[J].江西师范大学学报(自然科学版),2020,44(1):17-19.
作者姓名:李新鹏  吴黎军
作者单位:1.新疆农业大学数理学院,新疆 乌鲁木齐 830052; 2.新疆大学数学与系统科学学院,新疆 乌鲁木齐 830046
摘    要:该文既考虑了制定保费的公平性、合理性,又考虑了各风险组之间的相依效应,利用信度理论的方法得到了MLINEX损失函数下Bühlmann-Straub模型的具有特殊相依效应的信度保费,进而推导出MLINEX损失函数下Bühlmann模型的具有此种相依效应的信度保费,也得到了结构参数的估计量,因此,推广了经典信度理论.

关 键 词:MLINEX损失函数  相依效应  信度保费

The Credibility Models with Risks Dependence Effects under MLINEX Loss Function
LI Xinpeng,WU Lijun.The Credibility Models with Risks Dependence Effects under MLINEX Loss Function[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2020,44(1):17-19.
Authors:LI Xinpeng  WU Lijun
Institution:1.College of Mathematics and Physics,Xinjiang Agriculture University,Urumqi Xinjiang 830052,China; 2.College of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China
Abstract:Considering the premium's equity,various risk groups' dependent effects,using of the credibility theory method,the Bühlmann-Straub model is considered with special risks dependence effects under MLINEX loss function and the credibility premium is obtained.Furthermore,the Bühlmann model's premium is derived with the risks dependence effects under MLINEX loss function,and the estimators of structure parameters are obtained,therefore generalizing the classical credibility theory.
Keywords:MLINEX loss function  dependence effects  credibility premium
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