Title
Estimation for Partially Linear Single-index Instrumental Variables Models
Abstract
In this article, we generalize the partially linear single-index models to the scenario with some endogenous covariates variables. It is well known that the estimators based on the existing methods are often inconsistent because of the endogeneity of covariates. To deal with the endogenous variables, we introduce some auxiliary instrumental variables. A three-stage estimation procedure is proposed for partially linear single-index instrumental variables models. The first stage is to obtain a linear projection of endogenous variables on a set of instrumental variables, the second stage is to estimate the link function by using local linear smoother for given constant parameters, and the last stage is to obtain the estimators of constant parameters based on the estimating equation. Asymptotic normality is established for the proposed estimators. Some simulation studies are undertaken to assess the finite sample performance of the proposed estimation procedure.
Year
DOI
Venue
2016
10.1080/03610918.2014.950745
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
Field
DocType
Endogenous variables,Instrumental variables,Local linear smoother,Partially linear single-index model,62G05,62G20
Econometrics,Endogeneity,Covariate,Instrumental variable,Design matrix,Linear predictor function,Statistics,Mathematics,Estimating equations,Asymptotic distribution,Estimator
Journal
Volume
Issue
ISSN
45
10
0361-0918
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
yousheng zhou100.34
Yiping Yang2449.84
jian han300.34
peixin zhao400.34