Nonparametric Regression Estimation for Random Fields in a Fixed-Design |
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Authors: | Mohamed El Machkouri |
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Institution: | 1.Laboratoire de Mathématiques Rapha?l Salem,UMR 6085, Université de Rouen,Site Colbert,Mont-Saint-Aignan Cedex |
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Abstract: | We investigate the nonparametric estimation for regression in a fixed-design setting when the errors are given by a field
of dependent random variables. Sufficient conditions for kernel estimators to converge uniformly are obtained. These estimators
can attain the optimal rates of uniform convergence and the results apply to a large class of random fields which contains
martingale-difference random fields and mixing random fields.
Articlenote: In final form 24 January 2005 |
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Keywords: | AMS Mathematics Subject Classification (2000):" target="_blank">AMS Mathematics Subject Classification (2000): 60G60 62G08 |
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