二次损失函数下B-F准备金的信度估计  

Reliability Estimation of B-F Reserve under Quadratic Loss Function

作　　者：王金瑞[1] 邹敏雪 李智明[1] 吴黎军[1] WANG Jinrui;ZOU Minxue;LI Zhiming;WU Lijun(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）（中英文）》2021年第2期153-158,共6页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金(U1703237);新疆维吾尔自治区自然科学基金(XJEDU2017M001)。

摘　　要：在B-F准备金模型中,事故年索赔均值的估计至关重要,而传统B-F模型准备金的估计依赖于精算师的先验估计,具有一定的主观性.本文利用信度理论对事故年索赔均值进行估计,得到二次损失函数下事故年索赔均值的信度估计.该方法与传统的B-F估计和链梯法估计进行比较,结果表明二次损失函数下B-F准备金的信度估计是可行的.In the B-F reserve model,the estimation of the average annual accident claim is very important,while the estimation of the traditional B-F reserve model relies on the prior estimation of actuaries and has certain subjectivity.This paper estimates the average annual accident claim by using the reliability theory,and obtains the reliability estimation of the average annual accident claim under the quadratic loss function.Compared with the traditional B-F estimation and the chain ladder estimation,the results show that the reliability estimation of the B-F reserve under the quadratic loss function is feasible.

关 键 词：链梯法 B-F法 二次损失函数 信度估计 

分 类 号：O242.2[理学—计算数学]