Empirical likelihood-based dimension reduction inference for linear error-in-responses models with validation study

doi:10.1360/03ys0148

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	Empirical likelihood-based dimension reduction inference for linear error-in-responses models with validation study
	Wang, QH; Wolfgang, H
	2004-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 期号:6 页码:921-939
摘要	In this paper, linear errors-in-response models are considered in the presence of validation data on the responses. A serniparametric dimension reduction technique is employed to define an estimator of beta with asymptotic normality, the estimated empirical loglikelihoods and the adjusted empirical loglikelihoods for the vector of regression coefficients and linear combinations of the regression coefficients, respectively. The estimated empirical log-likelihoods are shown to be asymptotically distributed as weighted sums of independent X-1(2) and the adjusted empirical loglikelihoods are proved to be asymptotically distributed as standard chi-squares, respectively.
关键词	confidence intervals error-in-response validation data
DOI	10.1360/03ys0148
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000227041700012
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/741
专题	应用数学研究所
通讯作者	Wang, QH
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Heilongjiang Univ, Harbin 150080, Peoples R China 3.Humboldt Univ, Ctr Appl Stat & Econ, D-10178 Berlin, Germany
推荐引用方式 GB/T 7714	Wang, QH,Wolfgang, H. Empirical likelihood-based dimension reduction inference for linear error-in-responses models with validation study[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47(6):921-939.
APA	Wang, QH,&Wolfgang, H.(2004).Empirical likelihood-based dimension reduction inference for linear error-in-responses models with validation study.SCIENCE IN CHINA SERIES A-MATHEMATICS,47(6),921-939.
MLA	Wang, QH,et al."Empirical likelihood-based dimension reduction inference for linear error-in-responses models with validation study".SCIENCE IN CHINA SERIES A-MATHEMATICS 47.6(2004):921-939.