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Some Uniform Limit Results in Additive Regression Model
Authors:Mohammed Debbarh
Institution:1. LSTA, Université Paris 6 , Paris, France debbarh@ccr.jussieu.fr
Abstract:In the setting of additive regression model components estimation, we establish some uniform limit results in probability. Our results allow to give an asymptotic simultaneous 100% confidence band for these components. These results are stated in the framework of i.i.d random vectors when the marginal integration estimation method is used.
Keywords:Additive model  Curse of dimensionality  Marginal integration  Non parametric multivariate regression
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