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http://hdl.handle.net/1942/207| Title: | Nonparametric regression M-quantiles | Authors: | Antoch, J. JANSSEN, Paul |
Issue Date: | 1989 | Source: | Statist. Prob. Letters, 8(4), p. 355-362 | Abstract: | For the regression model Yi = m(xi)+var epsiloni, i = 1,…,n, robust nonparametric estimators are introduced and studied in Härdle and Gasser (1984). We show that these estimators can be viewed as regression M-quantiles. We then establish a probability inequality and a Bahadur representation for such quantiles and discuss some applications. | Document URI: | http://hdl.handle.net/1942/207 | DOI: | 10.1016/0167-7152(89)90044-8 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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