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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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1995
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| 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 |
| Author Notes: | E. Mammen |
MARC
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| 520 | |a 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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| 650 | 4 | |a density estimation | |
| 650 | 4 | |a inflection points | |
| 650 | 4 | |a kernel estimator | |
| 650 | 4 | |a Modality | |
| 650 | 4 | |a smoothness | |
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