Large deviations of kernel density estimator in \(L^1(\mathbb R^d)\) for reversible Markov processes
type: Item
instance of: scholarly article
title: Large deviations of kernel density estimator in \(L^1(\mathbb R^d)\) for reversible Markov processes
zbMATH Open document ID: 1098.62039
published in: Bernoulli
publication date: 2006-11-06T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bj/1141136649
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 62M05
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 5070891
zbMATH Keywords: Bahadur efficiency
zbMATH Keywords: kernel density estimator
zbMATH Keywords: large deviations
zbMATH Keywords: reversible Markov processes
zbMATH Keywords: uniformly integrable operators
author: Liang Zhen Lei
MaRDI profile type: Publication
cites work: Asymptotic normality for density kernel estimators in discrete and continuous time
cites work: Central limit theorems for \(L_ p\)-norms of density estimators
cites work: The equivalence of weak, strong, and complete convergence in \(L_ 1\) for kernel density estimates
cites work: Asymptotic evaluation of certain markov process expectations for large time, I
cites work: Asymptotic evaluation of certain Markov process expectations for large time—III
cites work: Asymptotic evaluation of certain markov process expectations for large time. IV
cites work: The \(L_1\)-norm density estimator process
cites work: Q3312749
cites work: Large deviations of kernel density estimator in \(L^1(\mathbb R^d)\) for uniformly ergodic Markov processes
cites work: Q3369435
cites work: Large deviations for the \(L_1\)-distance in kernel density estimation
cites work: Markov chains and stochastic stability
cites work: Properties of uniform consistency of the kernel estimators of density and regression functions under dependence assumptions
cites work: Moderate deviations of dependent random variables related to CLT
cites work: Uniformly integrable operators and large deviations for Markov processes
cites work: A deviation inequality for non-reversible Markov processes
description: scientific article; zbMATH DE number 5070891