| Asymptotic distribution of robust k-nearest neighbour estimator for functional nonparametric models |
| Mohammed Kadi Attouch and Tawfik Benchikh |
Abstract We propose a family of robust nonparametric estimators for robust regression function based on k-nearest neighbour (k-NN) method. We establish the asymptotic normality of the estimator under the concentration properties on small balls of the probability measure of the functional explanatory variables.
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Keywords: Asymptotic distribution; functional data; k-nearest neighbour; robust estimation; small balls probability. |
MSC: 62G05, 62G08, 62G20, 62G35 |
Pages: 275$-$285 |
Volume 64 , Issue 4 , 2012 |
