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Surrogate space based dimension reduction for nonignorable nonresponse
Deng, Jianqiu1; Yang, Xiaojie2; Wang, Qihua1,3
2022-04-01
发表期刊COMPUTATIONAL STATISTICS & DATA ANALYSIS
ISSN0167-9473
卷号168页码:18
摘要Sufficient dimension reduction (SDR) for nonignorable nonresponse poses a challenge and the literature about this issue is very rare. In the nonignorable case, the SDR methods developed for ignorable missing data generally yield serious estimation bias and thus are invalid. A regression-calibration-based cumulative mean estimation (RC-CUME) procedure is proposed to recover the central subspace (CS) with the aid of a surrogate subspace. Asymptotic properties of the RC-CUME are investigated. A modified BIC-type criterion is used to determine the structural dimension of the CS. Some extensions to other SDR methods are presented. Simulation studies are conducted to access the finite-sample performance of the proposed RC-CUME approach, and a real data set is analyzed for illustration. (C) 2021 Elsevier B.V. All rights reserved.
关键词Sufficient dimension reduction Nonignorable nonresponse Cumulative mean estimation Exponential tilting model Regression calibration Surrogate subspace
DOI10.1016/j.csda.2021.107374
收录类别SCI
语种英语
资助项目National Natural Science Foundation of China[11871460] ; National Natural Science Foundation of China (project for Innovative Research Group in China)[61621003] ; Key Lab of Random Complex Structure and Data Science, CAS ; Basic Research Programs of Yunnan Provincial Science and Technology Department[202101AU070091]
WOS研究方向Computer Science ; Mathematics
WOS类目Computer Science, Interdisciplinary Applications ; Statistics & Probability
WOS记录号WOS:000721109600002
出版者ELSEVIER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/59623
专题应用数学研究所
通讯作者Wang, Qihua
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
2.Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming, Yunnan, Peoples R China
3.Zhejiang Gongshang Univ, Hangzhou, Peoples R China
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GB/T 7714
Deng, Jianqiu,Yang, Xiaojie,Wang, Qihua. Surrogate space based dimension reduction for nonignorable nonresponse[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS,2022,168:18.
APA Deng, Jianqiu,Yang, Xiaojie,&Wang, Qihua.(2022).Surrogate space based dimension reduction for nonignorable nonresponse.COMPUTATIONAL STATISTICS & DATA ANALYSIS,168,18.
MLA Deng, Jianqiu,et al."Surrogate space based dimension reduction for nonignorable nonresponse".COMPUTATIONAL STATISTICS & DATA ANALYSIS 168(2022):18.
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