Mammen, Enno ; Tsybakov, Alexandre B.
In: The Annals of Statistics, 27 (1999), Nr. 6. pp. 1808-1829. ISSN 0090-5364
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Abstract
Discriminant analysis for two data sets in R^d with probability densities f and gcan be based on the estimation of the set G = { x : f(x) > = g(x) }. Weconsider applications where it is appropriate to assume that the regionG has a smooth boundary. In particular, this assumption makes sense if discriminant analysis is used as a data analytic tool. We discussoptimal rates for estimation of G.
| Document type: | Article |
|---|---|
| Journal or Publication Title: | The Annals of Statistics |
| Volume: | 27 |
| Number: | 6 |
| Publisher: | IMS Business Office |
| Place of Publication: | Hayward, California |
| Date Deposited: | 02 Jun 2016 07:55 |
| Date: | 1999 |
| ISSN: | 0090-5364 |
| Page Range: | pp. 1808-1829 |
| Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
| DDC-classification: | 310 General statistics 510 Mathematics |
| Uncontrolled Keywords: | Discrimination analysis, optimal rates, empirical risk, Bayes risk, sieves |
| Series: | Beiträge zur Statistik > Beiträge |
