Title
Multi-index regression models with missing covariates at random
Abstract
This paper considers estimation of the semiparametric multi-index model with missing covariates at random. A weighted estimating equation is suggested by invoking the inverse selection probability approach, and estimators of the indices are respectively defined when the selection probability is known in advance, is estimated parametrically and nonparametrically. The consistency is provided. For the single-index model, the large sample properties show that the estimators with both parametric and nonparametric plug-in estimations can play an important role to achieve smaller limiting variances than the estimator with the true selection probability. Simulation studies are carried out to assess the finite sample performance of the proposed estimators. The proposed methods are applied to an AIDS clinical trials dataset to examine which method could be more efficient. A horse colic dataset is also analyzed for illustration.
Year
DOI
Venue
2014
10.1016/j.jmva.2013.10.006
J. Multivariate Analysis
Keywords
Field
DocType
horse colic dataset,true selection probability,single-index model,large sample property,missing covariates,proposed estimator,finite sample performance,semiparametric multi-index model,multi-index regression model,inverse selection probability approach,selection probability,single index model
Econometrics,Inverse,Covariate,Regression analysis,Nonparametric statistics,Parametric statistics,Single-index model,Statistics,Mathematics,Estimator,Estimating equations
Journal
Volume
ISSN
Citations 
123,
0047-259X
0
PageRank 
References 
Authors
0.34
2
3
Name
Order
Citations
PageRank
Xu Guo165.09
Wangli Xu296.40
Lixing Zhu311634.41