Mammen, Enno ; Tsybakov, Alexandre B.
In: The Annals of Statistics, 27 (1999), Nr. 6. pp. 1808-1829. ISSN 0090-5364
Preview |
PDF, English
Download (181kB) | Terms of use |
Official URL: http://projecteuclid.org/euclid.aos/1017939240
Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the DOI, URN or the persistent URL below, as we can guarantee their long-time accessibility.
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 |