Title
Estimation for biased partial linear single index models
Abstract
In this paper, we propose a novel method to consistently estimate, at the root-n rate, the coefficient parameters in a biased partial linear single-index model whose error term does not have zero conditional expectation. To achieve this purpose, we first transfer the model to a pro forma linear model and then introduce an artificial variable into a linear bias correction model. Based on the bias correction model, the parameters can then be consistently estimated by the linear least squares method. Both numerical studies and real data analyses are conducted to show the effectiveness of the proposed estimation procedure.
Year
DOI
Venue
2019
10.1016/j.csda.2019.03.006
Computational Statistics & Data Analysis
Keywords
Field
DocType
Partial linear single index model,Artificial variable construction,Bias-corrected model,Estimation consistency
Linear model,Conditional expectation,Bias correction,Statistics,Mathematics,Linear least squares method
Journal
Volume
ISSN
Citations 
139
0167-9473
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
jun lu195.04
Xuehu Zhu232.28
Lu Lin3278.56
Lixing Zhu411634.41