On qualitative smoothness of kernel density estimates1

In this paper we give asymptotic expansions for the expected number of local extremes and inflection points of kernel density estimates. We argue that these numbers can be used as an indicator for the “qualitative” smoothness of the density estimate.

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Bibliographic Details
Main Author: Mammen, Enno (Author)
Format: Article (Journal)
Language:English
Published: 1995
In: Statistics
Year: 1995, Volume: 26, Issue: 3, Pages: 253-267
ISSN:1029-4910
DOI:10.1080/02331889508802494
Online Access:Verlag, Volltext: http://dx.doi.org/10.1080/02331889508802494
Verlag, Volltext: https://doi.org/10.1080/02331889508802494
Verlag, Volltext: http://www.tandfonline.com/doi/abs/10.1080/02331889508802494
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Author Notes:E. Mammen
Description
Summary:In this paper we give asymptotic expansions for the expected number of local extremes and inflection points of kernel density estimates. We argue that these numbers can be used as an indicator for the “qualitative” smoothness of the density estimate.
Item Description:Published online: 27 Jun 2007
Gesehen am 22.02.2018
Physical Description:Online Resource
ISSN:1029-4910
DOI:10.1080/02331889508802494