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  4. Choice of the bandwidth ratio in Rice's boundary modification
 
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Choice of the bandwidth ratio in Rice's boundary modification

Resource
中國統計學報 44(3),235-251
Journal
中國統計學報,44
Pages
235-251
Date Issued
2006
Date
2006
Author(s)
Cheng, Ming-Yen  
DOI
20060927121123929369
URI
http://ntur.lib.ntu.edu.tw//handle/246246/20060927121123929369
Abstract
Rice (1984) proposed a boundary modified kernel regression method which linearly combines two kernel regression estimators based on different bandwidths. In the context of density estimation, advantages of this method over two other popular approaches, local linear fitting & the boundary kernels of M¨uller (1991), are discussed. Selection of the ratio of the two bandwidths is studied. Asymptotic & exact mean squared errors are provided as tools to analyze the problem. In the case of Normal kernels, keeping the bandwidth ratio fixed, for ease & speed of implementation, & a specific bandwidth ratio are suggested.
Subjects
boundary effect
boundary kernel
exact mean squared error
kernel
smoothing
local linear smoothing
Type
journal article
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