Title
Automatic variable selection for longitudinal generalized linear models
Abstract
We consider the problem of variable selection for the generalized linear models (GLMs) with longitudinal data. An automatic variable selection procedure is developed using smooth-threshold generalized estimating equations (SGEE). The proposed procedure automatically eliminates inactive predictors by setting the corresponding parameters to be zero, and simultaneously estimates the nonzero regression coefficients by solving the SGEE. The proposed method shares some of the desired features of existing variable selection methods: the resulting estimator enjoys the oracle property; the proposed procedure avoids the convex optimization problem and is flexible and easy to implement. Moreover, we propose a penalized weighted deviance criterion for a data-driven choice of the tuning parameters. Simulation studies are carried out to assess the performance of SGEE, and a real dataset is analyzed for further illustration.
Year
DOI
Venue
2013
10.1016/j.csda.2012.12.015
Computational Statistics & Data Analysis
Keywords
Field
DocType
variable selection method,data-driven choice,corresponding parameter,automatic variable selection procedure,convex optimization problem,generalized linear model,inactive predictor,longitudinal generalized linear model,proposed method share,proposed procedure,variable selection,generalized estimating equations
Econometrics,Mathematical optimization,Feature selection,Generalized linear array model,Generalized linear model,Statistics,Generalized linear mixed model,Convex optimization,Generalized estimating equation,Mathematics,Linear regression,Estimator
Journal
Volume
Issue
ISSN
61
C
0167-9473
Citations 
PageRank 
References 
7
0.91
1
Authors
4
Name
Order
Citations
PageRank
Gaorong Li16414.58
Heng Lian210627.59
Sanying Feng3296.30
Lixing Zhu411634.41