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Variable bandwidth and one-step local M-estimator |
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Notes for this articletres bon article sur comment reduire le biais de l estimateur de Nadaraya Watson, d autre par cet estimateur permet de changer la taille du noyau ponctuellement
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AbstractWe study a robust version of local linear regression smoothers augmented with variable bandwidth. The proposed method inherits the advantages of local polynomial regression and overcomes lack of robustness of least-squares techniques. The use of variable bandwidth enhances the flexibility of the resulting local M-estimators and makes them possible to cope well with spatially inhomogeneous curves, heteroscedastic errors and nonuniform design densities. Under appropriate regularity conditions, it ...
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