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Imputation of mean of ratios for missing data and its application to PPSWR sampling
Zou, Guo Hua1; Li, Ying Fu2; Zhu, Rong1; Guan, Zhong3
2010-05-01
发表期刊ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
卷号26期号:5页码:863-874
摘要In practical survey sampling, nonresponse phenomenon is unavoidable. How to impute missing data is an important problem. There are several imputation methods in the literature. In this paper, the imputation method of the mean of ratios for missing data under uniform response is applied to the estimation of a finite population mean when the PPSWR sampling is used. The imputed estimator is valid under the corresponding response mechanism regardless of the model as well as under the ratio model regardless of the response mechanism. The approximately unbiased jackknife variance estimator is also presented. All of these results are extended to the case of non-uniform response. Simulation studies show the good performance of the proposed estimators.
关键词imputation item nonresponse jackknife variance estimator non-uniform response PPSWR sampling
DOI10.1007/s10114-010-6271-3
语种英语
资助项目National Natural Science Foundation of China[70625004] ; National Natural Science Foundation of China[10721101] ; National Natural Science Foundation of China[70933003]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000277368400006
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/10310
专题系统科学研究所
通讯作者Zou, Guo Hua
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Houston Clear Lake, Dept Math Sci, Houston, TX 77058 USA
3.Indiana Univ, Dept Math Sci, South Bend, IN 46634 USA
推荐引用方式
GB/T 7714
Zou, Guo Hua,Li, Ying Fu,Zhu, Rong,et al. Imputation of mean of ratios for missing data and its application to PPSWR sampling[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2010,26(5):863-874.
APA Zou, Guo Hua,Li, Ying Fu,Zhu, Rong,&Guan, Zhong.(2010).Imputation of mean of ratios for missing data and its application to PPSWR sampling.ACTA MATHEMATICA SINICA-ENGLISH SERIES,26(5),863-874.
MLA Zou, Guo Hua,et al."Imputation of mean of ratios for missing data and its application to PPSWR sampling".ACTA MATHEMATICA SINICA-ENGLISH SERIES 26.5(2010):863-874.
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