BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas

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	BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas
其他题名	BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas
	Zhu Rong; Zou Guo Hua
	2014
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	30 期号:12 页码:2027-2044
摘要	The linear mixed-effects model (LMM) is a very useful tool for analyzing cluster data. In practice, however, the exact values of the variables are often difficult to observe. In this paper, we consider the LMM with measurement errors in the covariates. The empirical BLUP estimator of the linear combination of the fixed and random effects and its approximate conditional MSE are derived. The application to the estimation of small area is provided. Simulation study shows good performance of the proposed estimators.
其他摘要	The linear mixed-effects model (LMM) is a very useful tool for analyzing cluster data. In practice, however, the exact values of the variables are often difficult to observe. In this paper, we consider the LMM with measurement errors in the covariates. The empirical BLUP estimator of the linear combination of the fixed and random effects and its approximate conditional MSE are derived. The application to the estimation of small area is provided. Simulation study shows good performance of the proposed estimators.
关键词	PREDICTION BLUP linear mixed-effects models measurement errors small area estimation
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Bureau of Statistics of China]
CSCD记录号	CSCD:5302554
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55530
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Zhu Rong,Zou Guo Hua. BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2014,30(12):2027-2044.
APA	Zhu Rong,&Zou Guo Hua.(2014).BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas.ACTA MATHEMATICA SINICA-ENGLISH SERIES,30(12),2027-2044.
MLA	Zhu Rong,et al."BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas".ACTA MATHEMATICA SINICA-ENGLISH SERIES 30.12(2014):2027-2044.