Calibration estimator for a sensitive variable using dual auxiliary information under measurement errors

doi:10.1080/03610926.2024.2322617

	Calibration estimator for a sensitive variable using dual auxiliary information under measurement errors
	Pang, Zhiqiang1 ; Niu, Xijuan1,2 ; Wang, Zhaoxu 1,2; You, Jingchen1,3
	2024
在线发表日期	2024-03
发表期刊	Communications in Statistics - Theory and Methods
摘要	In survey research, it is commonly assumed that all the observations are measured accurately. However, in practice, this assumption is not achieved due to many reasons, so it causes measurement errors to be inevitably present in the sample estimation. This article addresses the problem of estimation of finite population mean under stratified random sampling in the presence of measurement errors. A calibration estimator is proposed for the sensitive variable by utilizing suitable calibration techniques, which can be applied to obtain the optimal strata weight. The calibration estimator not only incorporates the auxiliary information but also the ranks of the auxiliary variable. Expressions for bias and mean square error are derived up to first order of approximation. Simulation studies and real-life datasets are used to assess the performances of the proposed estimator by comparing them with the contemporary estimators in the presence and absence of measurement errors. The theoretical and empirical studies demonstrate that the proposed calibration estimator consistently outperforms classical mean, usual ratio, conventional difference, Khail randomized response estimators. © 2024 Taylor & Francis Group, LLC.
关键词	Mean square error Measurement errors Random errors Auxiliary information Auxiliary variables Calibration techniques Finite population Mean estimation Means square errors Sample estimations Sensitive variables Stratified random sampling Survey research
DOI	10.1080/03610926.2024.2322617
收录类别	EI ; SCIE
ISSN	0361-0926
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:001180529100001
出版者	Taylor and Francis Ltd.
EI入藏号	20241115727858
EI主题词	Calibration
EI分类号	922.2 Mathematical Statistics
原始文献类型	Article in Press
EISSN	1532-415X
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/35678
专题	统计与数据科学学院图书馆
通讯作者	Niu, Xijuan
作者单位	1.School of Statistics, Lanzhou University of Finance and Economics, Gansu, Lanzhou, China; 2.School of Mathematics and Statistics, Qinghai Normal University, Qinghai, Xining, China; 3.School of Statistics, Xi’an University of Finance and Economics, Shaanxi, Xi’an, China
第一作者单位	统计与数据科学学院
通讯作者单位	统计与数据科学学院
推荐引用方式 GB/T 7714	Pang, Zhiqiang,Niu, Xijuan,Wang, Zhaoxu,et al. Calibration estimator for a sensitive variable using dual auxiliary information under measurement errors[J]. Communications in Statistics - Theory and Methods,2024.
APA	Pang, Zhiqiang,Niu, Xijuan,Wang, Zhaoxu,&You, Jingchen.(2024).Calibration estimator for a sensitive variable using dual auxiliary information under measurement errors.Communications in Statistics - Theory and Methods.
MLA	Pang, Zhiqiang,et al."Calibration estimator for a sensitive variable using dual auxiliary information under measurement errors".Communications in Statistics - Theory and Methods (2024).