Admissibility of Bayes estimate with inaccurate prior in surveying adjustment

作     者：朱建军 王细波 

作者机构：中南工业大学 湖南 长沙 广东惠州市国土局 广东 惠州 

出 版 物：《中国有色金属学会会刊：英文版》 (Transactions of Nonferrous Metals Society of China)

年 卷 期：2000年第10卷第1期

页      面：114-118页

核心收录：

学科分类：08[工学] 0806[工学-冶金工程] 0818[工学-地质资源与地质工程] 081601[工学-大地测量学与测量工程] 0815[工学-水利工程] 0816[工学-测绘科学与技术] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0703[理学-化学] 0814[工学-土木工程] 0702[理学-物理学] 

基　　金：Foundationitem :Project 4 9774 2 0 9supportedbytheNationalNaturalScienceFoundationofChina 

主　　题：Bayes estimate admissibility inaccurate prior surveying adjustment 

摘      要：Based on the concept of admissibility in statistics, a definition of generalized admissibility of Bayes estimates has been given at first, which was with inaccurate prior for the application in surveying adjustment. Then according to the definition, the generalized admissibility of the normal linear Bayes estimate with the inaccurate prior information that contains deviations or model errors, as well as how to eliminate the effect of the model error on the Bayes estimate in surveying adjustment were studied. The results show that if the prior information is not accurate, that is, it contains model error, the generalized admissibility can explain whether the Bayes estimate can be accepted or not. For the case of linear normal Bayes estimate, the Bayes estimate can be made generally admissible by giving a less prior weight if the prior information is inaccurate. Finally an example was given.