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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1995
|
| In: |
Statistics
Year: 1995, Jahrgang: 26, Heft: 3, Pages: 253-267 |
| ISSN: | 1029-4910 |
| DOI: | 10.1080/02331889508802494 |
| Online-Zugang: | 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 |
| Verfasserangaben: | E. Mammen |
| Zusammenfassung: | 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. |
|---|---|
| Beschreibung: | Published online: 27 Jun 2007 Gesehen am 22.02.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 1029-4910 |
| DOI: | 10.1080/02331889508802494 |