Title
Variable selection in robust regression models for longitudinal data
Abstract
In this article, we consider variable selection in robust regression models for longitudinal data. We propose a penalized robust estimating equation to estimate the regression parameters and to select the important covariate variables simultaneously. Under some regularity conditions, we show the oracle properties of the proposed robust variable selection methods. A simulation study shows the robustness of the proposed methods against outliers. Moreover, it is found by the simulation study that incorporating the correlation structure into the procedure of variable selection will lead to better performance than ignoring the correlation structure for longitudinal data. In the end, the proposed methods are illustrated in the analysis of a real data set.
Year
DOI
Venue
2012
10.1016/j.jmva.2012.03.007
J. Multivariate Analysis
Keywords
Field
DocType
robust regression model,simulation study,correlation structure,penalized robust estimating equation,important covariate variable,longitudinal data,proposed robust variable selection,variable selection,estimating equation,robust estimator,robust regression
Econometrics,Covariate,Feature selection,Regression,Oracle,Outlier,Robustness (computer science),Robust regression,Statistics,Mathematics,Estimating equations
Journal
Volume
ISSN
Citations 
109,
0047-259X
6
PageRank 
References 
Authors
0.87
0
3
Name
Order
Citations
PageRank
Yali Fan160.87
Guoyou Qin2123.82
Zhong Yi Zhu33410.77