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NONPARAMETRIC ADDITIVE REGRESSION

In this article we discuss statistical methods of estimating structured nonparametric regression models. Our discussion is mainly on the additive models where the regression function (map) is expressed as a sum of unknown univariate functions (maps), but it also covers some other nonand semi-parametric models. We present the state of the art in the subject area with the prospect of an extension to non-Euclidean data objects.