Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random

doi:10.1198/jasa.2011.tm10573

CSpace > 应用数学研究所

	Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random
	Ding, Xiaobo1 ; Wang, Qihua1,2
	2011-09-01
发表期刊	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN	0162-1459
卷号	106 期号:495 页码:1193-1207
摘要	Dimension reduction methods are useful for handling high-dimensional data. It is a common situation that responses of some subjects are not observed in practice. Generally, the missingness carries additional information about the central subspace. Here we propose a two-stage procedure known as the fusion-refinement (FR) procedure. In the first stage, we obtain a subspace including the central subspace by fusing information on regression and missingness. In the second stage, we refine the obtained subspace to recover the central subspace by imputation method. We use sliced inverse regression to illustrate the FR procedure. We conduct simulation studies, and suggest a data-driven procedure to choose from the complete-case analysis and the FR procedure for a purpose of a real application. A real data analysis is used to illustrate our methods.
关键词	Central subspace Complete-case analysis Data-driven Imputation
DOI	10.1198/jasa.2011.tm10573
语种	英语
资助项目	China Postdoctoral Science Foundation[20090450603] ; National Science Fund for Distinguished Young Scholars in China[10725106] ; National Natural Science Foundation of China[10671198] ; National Natural Science Foundation of China[11171331] ; National Science Fund for Creative Research Groups in China ; Key grant from Yunnan Province[2010CC003] ; Key Lab of Random Complex Structure and Data Science, CAS
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000296224200042
出版者	AMER STATISTICAL ASSOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11538
专题	应用数学研究所
通讯作者	Ding, Xiaobo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Yunnan Univ, Minist Educ, Changjiang Scholars Program, Kunming 650091, Peoples R China
推荐引用方式 GB/T 7714	Ding, Xiaobo,Wang, Qihua. Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,2011,106(495):1193-1207.
APA	Ding, Xiaobo,&Wang, Qihua.(2011).Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random.JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,106(495),1193-1207.
MLA	Ding, Xiaobo,et al."Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random".JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 106.495(2011):1193-1207.