Central limit theorems for additive functionals of Markov chains.
type: Item
instance of: scholarly article
title: Central limit theorems for additive functionals of Markov chains.
zbMATH Open document ID: 1044.60014
author: Michael Maxwell
author: Michael Woodroofe
published in: The Annals of Probability
publication date: 2003-05-06T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 1906373
zbMATH Keywords: asymptotic normality
zbMATH Keywords: ergodic theorem
zbMATH Keywords: functional central limit theorem
zbMATH Keywords: Hilbert space
zbMATH Keywords: martingale
zbMATH Keywords: maximal inequality
zbMATH Keywords: one-sided shifts
zbMATH Keywords: Poisson's equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1019160258
OpenAlex ID: W2073358026
cites work: Asymptotics of a class of Markov processes which are not in general irreducible
cites work: Q5560061
cites work: Central limit theorems for mixing sequences of random variables under minimal conditions
cites work: Functional limit theorems for dependent variables
cites work: Q4178270
cites work: Q3911791
cites work: Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
cites work: Markov chains and stochastic stability
cites work: Q3739955
cites work: Persistent random walks in random environment
cites work: A central limit theorem for functions of a Markov chain with applications to shifts
DOI: 10.1214/AOP/1019160258
description: scientific article; zbMATH DE number 1906373