高放废物缓冲材料的均匀性分析–基于密度比模型下的Gini系数  

Homogeneity analysis of buffer barriers of high-level radioactive waste repositories by using the Gini coe±cient under the density ratio model

作　　者：廖文琛 谭煜 庄玮玮 LIAO Wen-chen;TAN Yu;ZHUANG Wei-wei(School of Management,University of Science and Technology of China,Hefei 230041,China;College of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]中国科学技术大学管理学院,安徽合肥230041 [2]兰州大学土木工程与力学学院,甘肃兰州730000

出　　处：《高校应用数学学报（A辑）》2024年第1期41-50,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(71971204);安徽省杰青项目(2208085J43)。

摘　　要：提出用密度比模型估计缓冲材料含水率和干密度的Gini系数,并在此基础上进行假设检验,以解决核安全领域中如何科学分析缓冲材料均匀性的难点.对假设检验所涉及的渐近理论进行了探讨.提出在进行Wald-型检验的同时可借助自助法来提高检验功效.基于上述方法对覆膜储存法试验所得的实际数据进行相应的估计和假设检验,所得的结果验证了覆膜储存法对缓冲材料均匀性的保护是有效的.The density ratio model based estimator of the Gini coefficient and hypothesis testing on this basis are introduced to nuclear safetyfield to measure the homogeneity of buffer barriers.The asymptotic theory involved in hypothesis testing is discussed.In addition to analysis by the Wald-type test,a valid Bootstrap process is designed to improve power.The above mentioned methods are applied to real data of the curing method calledfilm covering storage method.The results suggest thatfilm covering storage method can effectively protect the buffer barrier from becoming more inhomogeneous.

关 键 词：GINI系数 密度比模型 自助法检验 核安全 

分 类 号：O213.2[理学—概率论与数理统计]