Variable screening for ultrahigh dimensional heterogeneous data via conditional quantile correlations | |
Zhang, Shucong1; Zhou, Yong1,2 | |
刊名 | JOURNAL OF MULTIVARIATE ANALYSIS |
2018-05 | |
卷号 | 165页码:1-13 |
关键词 | Conditional quantile correlation Conditional quantile screening Ultrahigh dimensionality Varying coefficient models |
ISSN号 | 0047-259X |
DOI | 10.1016/j.jmva.2017.11.005 |
英文摘要 | In this article, we propose a new conditional quantile correlation and establish its connection with conditional quantile regression coefficient functions. We further introduce a conditional quantile screening method based on this metric for varying coefficient models with ultrahigh dimensional features. Under some technical conditions, the proposed approach is shown to enjoy desirable theoretical properties, including ranking consistency and sure screening properties. The extent of the new method's dimensionality reduction is also qualified. To reduce the false selection rate, an iterative algorithm is proposed for improving the accuracy of variable screening. We conduct simulation studies to demonstrate that the proposed screening method can perform reasonably well, and we illustrate the proposed methodology through a real data analysis. (C) 2017 Elsevier Inc. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER INC |
WOS记录号 | WOS:000428360200001 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/631] |
专题 | 上海财经大学 |
通讯作者 | Zhang, Shucong |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China; 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Shucong,Zhou, Yong. Variable screening for ultrahigh dimensional heterogeneous data via conditional quantile correlations[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2018,165:1-13. |
APA | Zhang, Shucong,&Zhou, Yong.(2018).Variable screening for ultrahigh dimensional heterogeneous data via conditional quantile correlations.JOURNAL OF MULTIVARIATE ANALYSIS,165,1-13. |
MLA | Zhang, Shucong,et al."Variable screening for ultrahigh dimensional heterogeneous data via conditional quantile correlations".JOURNAL OF MULTIVARIATE ANALYSIS 165(2018):1-13. |
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