Title
Estimation and variable selection in single-index composite quantile regression.
Abstract
In this article, a new composite quantile regression estimation approach is proposed for estimating the parametric part of single-index model. We use local linear composite quantile regression (CQR) for estimating the nonparametric part of single-index model (SIM) when the error distribution is symmetrical. The weighted local linear CQR is proposed for estimating the nonparametric part of SIM when the error distribution is asymmetrical. Moreover, a new variable selection procedure is proposed for SIM. Under some regularity conditions, we establish the large sample properties of the proposed estimators. Simulation studies and a real data analysis are presented to illustrate the behavior of the proposed estimators.
Year
DOI
Venue
2017
10.1080/03610918.2016.1222424
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
Field
DocType
Adaptive lasso,Composite quantile regression,Optimal weights,Single-index model,Variable selection
Econometrics,Feature selection,Nonparametric regression,Nonparametric statistics,Single-index model,Parametric statistics,Composite quantile regression,Statistics,Mathematics,Estimator,Quantile regression
Journal
Volume
Issue
ISSN
46
9
0361-0918
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Huilan Liu121.07
Hu Yang25017.12