Assessing the number of linear components in a general regression problem

被引:48
作者
Velilla, S [1 ]
机构
[1] Univ Carlos III Madrid, Dept Stat & Econometr, Madrid 28903, Spain
关键词
asymptotic tests; dimension reduction; eigenvalues; sliced inverse regression;
D O I
10.2307/2669852
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This article presents a method for testing the dimension of a general regression model without assuming any specific model for the distribution of the repressors. Examples of application and comparisons with existing methods are also studied.
引用
收藏
页码:1088 / 1098
页数:11
相关论文
共 19 条
[1]  
[Anonymous], 1990, GEN MULTIVARIATE ANA
[2]   ROBUST LOCALLY WEIGHTED REGRESSION AND SMOOTHING SCATTERPLOTS [J].
CLEVELAND, WS .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1979, 74 (368) :829-836
[3]  
Cook R.D., 1994, INTRO REGRESSION GRA
[4]   ON THE INTERPRETATION OF REGRESSION PLOTS [J].
COOK, RD .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1994, 89 (425) :177-189
[5]  
COOK RD, 1991, J AM STAT ASSOC, V86, P328, DOI 10.2307/2290564
[6]  
COOK RD, 1993, TEST, V2, P33
[7]  
DAWID AP, 1979, J ROY STAT SOC B MET, V41, P1
[8]   SLICING REGRESSION - A LINK-FREE REGRESSION METHOD [J].
DUAN, N ;
LI, KC .
ANNALS OF STATISTICS, 1991, 19 (02) :505-530
[9]   ON WIELANDT INEQUALITY AND ITS APPLICATION TO THE ASYMPTOTIC-DISTRIBUTION OF THE EIGENVALUES OF A RANDOM SYMMETRICAL MATRIX [J].
EATON, ML ;
TYLER, DE .
ANNALS OF STATISTICS, 1991, 19 (01) :260-271
[10]   ON ALMOST LINEARITY OF LOW-DIMENSIONAL PROJECTIONS FROM HIGH-DIMENSIONAL DATA [J].
HALL, P ;
LI, KC .
ANNALS OF STATISTICS, 1993, 21 (02) :867-889