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|Title: ||Nonparametric regression M-quantiles|
|Authors: ||Antoch, J.|
|Keywords: ||Mathematical Statistics|
Non and semiparametric methods
|Issue Date: ||1989|
|Citation: ||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.|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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