Title
Varying-coefficient single-index model
Abstract
In this paper, the varying-coefficient single-index model (VCSIM) is proposed. It can be seen as a generalization of the semivarying-coefficient model by changing its constant coefficient part to a nonparametric component, or a generalization of the partially linear single-index model by replacing the constant coefficients of its linear part with varying coefficients. Based on the local linear method, average method and backfitting technique, the estimates of the unknown parameters and the unknown functions of the VCSIM are obtained and their asymptotic distributions are derived. Both simulated and real data examples are given to illustrate the model and the proposed estimation methodology.
Year
DOI
Venue
2008
10.1016/j.csda.2007.04.008
Computational Statistics & Data Analysis
Keywords
Field
DocType
linear single-index model,average method,constant coefficient,constant coefficient part,varying-coefficient single-index model,local linear method,proposed estimation methodology,linear part,unknown function,semivarying-coefficient model,asymptotic theory,single index model,asymptotic distribution,primary
Econometrics,Linear methods,Mean estimation,Linear model,Constant coefficients,Nonparametric statistics,Single-index model,Statistics,Distribution function,Mathematics
Journal
Volume
Issue
ISSN
52
3
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
11
3.39
1
Authors
3
Name
Order
Citations
PageRank
Heung Wong18022.74
Wai-Cheung Ip22711.72
Riquan Zhang35221.55