高校应用数学学报2024,Vol.39Issue(1) :41-50.

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 coefficient under the density ratio model

廖文琛 谭煜 庄玮玮
高校应用数学学报2024,Vol.39Issue(1) :41-50.

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 coefficient under the density ratio model

廖文琛 1谭煜 2庄玮玮1
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作者信息

  • 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
  • 折叠

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.

Abstract

The density ratio model based estimator of the Gini coefficient and hypothesis testing on this basis are introduced to nuclear safety field 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 called film covering storage method.The results suggest that film 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

Key words

Gini coefficient/density ratio model/bootstrap test/nuclear safety

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基金项目

国家自然科学基金(71971204)

安徽省杰青项目(2208085J43)

出版年

2024
高校应用数学学报
浙江大学 中国工业与应用数学学会

高校应用数学学报

CSTPCD北大核心
影响因子:0.396
ISSN:1000-4424
参考文献量32
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