Fusion-Refinement Procedure for Dimension Reduction With Missing Response at Random
文献类型：期刊论文
| 作者 | Ding, Xiaobo1 ; Wang, Qihua1,2
|
| 刊名 | JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 106期号:495页码:1193-1207 |
| 关键词 | Central subspace Complete-case analysis Data-driven Imputation |
| ISSN号 | 0162-1459 |
| DOI | 10.1198/jasa.2011.tm10573 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000296224200042 |
| 出版者 | AMER STATISTICAL ASSOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11537]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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