SFB 303 Discussion Paper No. A - 215

Author:   Park, Byeong, and J. S. Marron
 
Title:   Comparison of Data-Driven Bandwidth Selectors
 
Abstract:   This paper provides a comparison of several promising data-driven methods for selecting the bandwidth of  
a kernel density estimator. The methods compared are: least squares cross-validation, biased cross-validation and  
plug-in rule. The comparison is done by asymptotic rate of convergence to the optimum and a simulation study.  
It is seen that the plug-in bandwidth is usually most efficient when the underlying density is sufficient smooth,  
but is less robust when there is not enough smoothness present. We believe the plug-in rule is the best of those  
currently available, but there is still room for improvement. 
 
Keywords:   cross-validation, data driven bandwidth selection, density estimation, kernel estimators, plug-in method
 
JEL-Classification-Number: 
 
Creation-Date:   December 1988 
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