Strong law of large numbers for hidden Markov chains indexed by an infinite tree with uniformly bounded degrees
type: Item
instance of: scholarly article
title: Strong law of large numbers for hidden Markov chains indexed by an infinite tree with uniformly bounded degrees
zbMATH Open document ID: 1322.60022
DOI: 10.1155/2014/628321
author: Huilin Huang
published in: International Journal of Stochastic Analysis
publication date: 2015-03-27T00:00:00Z
review text: Summary: We study strong limit theorems for hidden Markov chains fields indexed by an infinite tree with uniformly bounded degrees. We mainly establish the strong law of large numbers for hidden Markov chains fields indexed by an infinite tree with uniformly bounded degrees and give the strong limit law of the conditional sample entropy rate.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 6420150
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: hidden Markov chains
zbMATH Keywords: infinite tree
zbMATH Keywords: conditional sample entropy rate
Wikidata QID: Q59047042
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/628321
OpenAlex ID: W1993662156
cites work: Image segmentation and compression using hidden Markov models
cites work: Biological Sequence Analysis
cites work: Hidden Markov models for bioinformatics
cites work: Hidden Markov Models for Microarray Time Course Data in Multiple Biological Conditions
cites work: A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle
cites work: Hidden Markov processes
cites work: Statistical Inference for Probabilistic Functions of Finite State Markov Chains
cites work: Probabilistic Functions of Finite State Markov Chains
cites work: Maximum-likelihood estimation for hidden Markov models
cites work: Inference in hidden Markov models. I: Local asymptotic normality in the stationary case.
cites work: Markov chains indexed by trees
cites work: Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
description: scientific article; zbMATH DE number 6420150