Multivariate density estimation with general flat-top kernels of infinite order
type: Item
instance of: scholarly article
title: Multivariate density estimation with general flat-top kernels of infinite order
zbMATH Open document ID: 0954.62042
author: Dimitris Politis
author: Joseph P. Romano
published in: Journal of Multivariate Analysis
publication date: 2001-02-18T00:00:00Z
review text: The paper addresses the problem of nonparametric estimation of multivariate density functions. In particular, a general class of estimators with favourable asymptotic performance (bias, variance, and rate of convergence) is proposed by the authors. These proposed estimators are characterised by the flatness near the origin of the Fourier transform of the kernel and are actually shown to be exactly \(\sqrt N\)-consistent provided the density is sufficiently smooth.
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 1271179
zbMATH Keywords: smoothing
zbMATH Keywords: Fourier transform
reviewed by: Christina Diakaki
describes a project that uses: KernSmooth
MaRDI profile type: Publication
full work available at URL: jmva.1998.1774
OpenAlex ID: W2023734903
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DOI: 10.1006/JMVA.1998.1774
description: scientific article; zbMATH DE number 1271179