Estimation of partial linear error-in-response models with validation data

	Estimation of partial linear error-in-response models with validation data
	Wang, QH
刊名	ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
	2003-03-01
卷号	55 期号:1 页码:21-39
关键词	partial linear model validation data strong consistency asymptotic normality
ISSN号	0020-3157
英文摘要	In this paper, an estimation theory in partial linear model is developed when there is measurement error in the response and when validation data are available. A semiparametric method with the primary data is used to define two estimators for both the regression parameter and the nonparametric part using the least squares criterion with the help of validation data. The proposed estimators of the parameter are proved to be strongly consistent and asymptotically normal, and the estimators of the nonparametric part are also proved to be strongly consistent and weakly consistent with an optimal convergent rate. Then, the two estimators of the parameter are compared based on their empirical performances.
语种	英语
出版者	KLUWER ACADEMIC PUBL
WOS记录号	WOS:000182153400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18749]
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Heilongjiang Univ, Sch Sci, Harbin 150000, Peoples R China
推荐引用方式 GB/T 7714	Wang, QH. Estimation of partial linear error-in-response models with validation data[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,2003,55(1):21-39.
APA	Wang, QH.(2003).Estimation of partial linear error-in-response models with validation data.ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,55(1),21-39.
MLA	Wang, QH."Estimation of partial linear error-in-response models with validation data".ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 55.1(2003):21-39.