Nonparametric regression under qualitative smoothness assumptions
We propose a new nonparametric regression estimate. In contrast to the traditional approach of considering regression functions whose mmmth derivatives lie in a ball in the L∞L∞L_\infty or L2L2L_2 norm, we consider the class of functions whose (m−1)(m−1)(m - 1)st derivative consists of at most kkk m...
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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1991
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| In: |
The annals of statistics
Year: 1991, Volume: 19, Issue: 2, Pages: 741-759 |
| ISSN: | 2168-8966 |
| DOI: | 10.1214/aos/1176348118 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1214/aos/1176348118 Verlag, Volltext: https://projecteuclid.org/euclid.aos/1176348118 Verlag, Volltext: https://projecteuclid.org/download/pdf_1/euclid.aos/1176348118 
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| Author Notes: | Enno Mammen |
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