A note on the use of binning in kernel smoothing

by Dinh Tuan PHAM.

Abstract: The aim of this paper is to provide a general binning scheme for fast computation of kernel and local polynomial estimation, both in the density and regression context. It is shown that binning is equivalent to using a different equivalent kernel. A method to design binning scheme for which this equivalent kernel approximates a given scaled kernel is proposed.

Key Words: Binning. Fast Computation. Fast Fourier Transform. Discretization. Kernel Estimation. Local Polynomial Regression. Smoothing.

Dinh Tuan PHAM, Dinh-Tuan.Pham@imag.fr

Editor: Marian Scott , marian@stats.gla.ac.uk

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