Ergodicity and stability of the conditional distributions of nondegenerate Markov chains
type: Item
instance of: scholarly article
title: Ergodicity and stability of the conditional distributions of nondegenerate Markov chains
zbMATH Open document ID: 1252.60069
DOI: 10.1214/11-AAP800
author: Xin Thomson Tong
author: Ramon van Handel
published in: The Annals of Applied Probability
publication date: 2012-09-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1101.1822
full work available at URL: https://projecteuclid.org/euclid.aoap/1344614202
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 28D99
Mathematics Subject Classification ID: 62M20
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6083942
zbMATH Keywords: nonlinear filtering
zbMATH Keywords: unique ergodicity
zbMATH Keywords: asymptotic stability
zbMATH Keywords: nondegenerate Markov chains
zbMATH Keywords: exchange of intersection and supremum
zbMATH Keywords: Markov chain in random environment
MaRDI profile type: Publication
arXiv ID: 1101.1822
cites work: Asymptotic Stability of the Wonham Filter: Ergodic and Nonergodic Signals
cites work: Q3254656
cites work: On invariant measures of discrete time filters in the correlated signal-noise case
cites work: Asymptotic stability, ergodicity and other asymptotic properties of the nonlinear filter.
cites work: Q2707622
cites work: Inference in hidden Markov models.
cites work: Exercises in Probability
cites work: Q3086327
cites work: Q3957683
cites work: Ergodicity of hidden Markov models
cites work: Asymptotic properties of the maximum likelihood estimator in autoregressive models with Markov regime
cites work: Real Analysis and Probability
cites work: Q2774021
cites work: Q5657974
cites work: Q3976842
cites work: Markov Chains and Stochastic Stability
cites work: Asymptotic Stability of the Optimal Filter with Respect to Its Initial Condition
cites work: An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels
cites work: Q4733804
cites work: The stability of conditional Markov processes and Markov chains in random environments
cites work: Uniform time average consistency of Monte Carlo particle filters
cites work: On the exchange of intersection and supremum of \({\sigma}\)-fields in filtering theory
cites work: Some Limit Theorems for Random Functions. I
cites work: Q4747288
description: scientific article; zbMATH DE number 6083942