Uniform in bandwidth exact rates for a class of kernel estimators

DOI10.1007/S10463-010-0286-5zbMath1230.62045arXiv1201.5507OpenAlexW1996655692MaRDI QIDQ652606

Davit Varron, Ingrid Van Keilegom

Publication date: 14 December 2011

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5507

zbMATH Keywords

kernel smoothingempirical likelihooduniform in bandwidth consistencylocal empirical processes

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15) Strong limit theorems (60F15)

Related Items (3)

Uniform-in-bandwidth functional limit laws ⋮ Functional limit laws for local empirical processes in a spatial setting ⋮ Uniform in bandwidth consistency for various kernel estimators involving functional data

Cites Work

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• Strong approximation for multivariate empirical and related processes, via KMT constructions
• A Bennett concentration inequality and its application to suprema of empirical processes
• A uniform functional law of the logarithm for the local empirical process.
• Weak convergence and empirical processes. With applications to statistics
• A limited in bandwidth uniformity for the functional limit law of the increments of the empirical process
• Some universal results on the behavior of increments of partial sums
• Uniform in bandwidth consistency of kernel-type function estimators
• On the Choice of the Bandwidth in Kernel Nonparametric Regression
• How Far Are Automatically Chosen Regression Smoothing Parameters From Their Optimum?
• An Empirical Likelihood Goodness-of-Fit Test for Time Series
• An empirical process approach to the uniform consistency of kernel-type function estimators

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