A short note on optimal bandwidth selection for kernel estimators

For kernel estimators of an unknown density it has been proposed to use a data-based bandwidth which is as close to the (nonrandom, unknown) minimiser of the Mean Integrated Squared Error as possible. In this note it will be shown that this strategy of bandwidth selection is not optimal.

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Bibliographic Details
Main Author: Mammen, Enno (Author)
Format: Article (Journal)
Language:English
Published: 1990
In: Statistics & probability letters
Year: 1990, Volume: 9, Issue: 1, Pages: 23-25
DOI:10.1016/0167-7152(90)90090-T
Online Access:Verlag, Volltext: http://dx.doi.org/10.1016/0167-7152(90)90090-T
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/016771529090090T
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Author Notes:Enno Mammen
Description
Summary:For kernel estimators of an unknown density it has been proposed to use a data-based bandwidth which is as close to the (nonrandom, unknown) minimiser of the Mean Integrated Squared Error as possible. In this note it will be shown that this strategy of bandwidth selection is not optimal.
Item Description:Available online 22 March 2002
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Physical Description:Online Resource
DOI:10.1016/0167-7152(90)90090-T