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On Qualitative Smoothness of Kernel Density Estimates1
Author:
E. Mammen a
| Affiliation: | a Humboldt University of Berlin, |
DOI:
10.1080/02331889508802494
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
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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| Keywords: Modality; inflection points; smoothness; density estimation; kernel estimator |
| view references (15) |
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