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General directional regression
Yu, Zhou1; Dong, Yuexiao2; Huang, Mian3,4
刊名JOURNAL OF MULTIVARIATE ANALYSIS
2014-02
卷号124页码:94-104
关键词General empirical directions Nonlinear dimension reduction Permutation test Sliced inverse regression Sliced average variance estimation
ISSN号0047-259X
DOI10.1016/j.jmva.2013.10.016
英文摘要Directional regression is an effective sufficient dimen sion reduction method which implicitly synthesizes the first two conditional moments. In this paper, we extend directional regression to a general family of estimators via the notion of general empirical directions. Data-driven method is used to identify the optimal estimator within this family. Based on the proposed general directional regression estimators, we develop a new methodology for nonlinear dimension reduction. Improvement of general directional regression over classical directional regression is demonstrated via simulation studies and an empirical study with the wine recognition data. (C) 2013 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:000330599800008
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/1816]  
专题上海财经大学
通讯作者Dong, Yuexiao
作者单位1.E China Normal Univ, Sch Finance & Stat, Shanghai 200241, Peoples R China;
2.Temple Univ, Dept Stat, Philadelphia, PA 19122 USA;
3.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China;
4.Minist Educ, Key Lab Math Econ SUFE, Shanghai 200433, Peoples R China
推荐引用方式
GB/T 7714
Yu, Zhou,Dong, Yuexiao,Huang, Mian. General directional regression[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2014,124:94-104.
APA Yu, Zhou,Dong, Yuexiao,&Huang, Mian.(2014).General directional regression.JOURNAL OF MULTIVARIATE ANALYSIS,124,94-104.
MLA Yu, Zhou,et al."General directional regression".JOURNAL OF MULTIVARIATE ANALYSIS 124(2014):94-104.
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