Title
Empirical likelihood based diagnostics for heteroscedasticity in partial linear models
Abstract
In this paper, we propose a diagnostic technique for checking heteroscedasticity based on empirical likelihood for the partial linear models. We construct an empirical likelihood ratio test for heteroscedasticity. Also, under mild conditions, a nonparametric version of Wilk's theorem is derived, which says that our proposed test has an asymptotic chi-square distribution. Simulation results reveal that the finite sample performance of our proposed test is satisfactory in both size and power. An empirical likelihood bootstrap simulation is also conducted to overcome the size distortion in small sample sizes.
Year
DOI
Venue
2009
10.1016/j.csda.2009.02.029
Computational Statistics & Data Analysis
Keywords
Field
DocType
diagnostic technique,empirical likelihood bootstrap simulation,empirical likelihood ratio test,finite sample performance,empirical likelihood,simulation result,small sample size,asymptotic chi-square distribution,proposed test,size distortion,partial linear model
Econometrics,Score test,Heteroscedasticity,Likelihood-ratio test,Linear model,Empirical likelihood,Nonparametric statistics,Statistics,Ratio test,Sample size determination,Mathematics
Journal
Volume
Issue
ISSN
53
9
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
1
0.37
0
Authors
4
Name
Order
Citations
PageRank
Heung Wong18022.74
Liu Feng2535.05
Min Chen310.71
Wai-Cheung Ip42711.72