A Simple Wavelet Approach to Nonparametric Regression from Recursive Partitioning Schemes

J. Engel

Journal of Multivariate Analysis, 1994, vol. 49, issue 2, 242-254

Abstract: Rates of convergence for nonparametric regression estimators based on recursive partitioning schemes are derived. The central idea is to consider the tree-structured regression estimator as a wavelet estimator based on the orthogonal system of Haar functions. A locally adaptive data-driven smoothing method is proposed and its performance is studied.

Date: 1994
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