Some generalized strong limit theorems for Markov chains in bi-infinite random environments
From MaRDI portal
Publication:5079220
DOI10.1080/03610926.2020.1744655OpenAlexW3013221116MaRDI QIDQ5079220
No author found.
Publication date: 25 May 2022
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2020.1744655
Statistics (62-XX) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items (2)
A CLASS OF SMALL DEVIATION THEOREMS FOR FUNCTIONALS OF RANDOM FIELDS ON A TREE WITH UNIFORMLY BOUNDED DEGREE IN RANDOM ENVIRONMENT ⋮ A class of small deviation theorems for Markov chains in bi-infinite random environment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- On the strong law of large numbers for delayed sums and random fields
- On the central limit theorem for Markov chains in random environments
- On Markov chains in space-time random environments
- On direct convergence and periodicity for transition probabilities of Markov chains in random environments
- The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
- A sandwich proof of the Shannon-McMillan-Breiman theorem
- Limit theorems for delayed sums
- Recurrence and invariant measure of Markov chains in double-infinite random environments
- An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
- A strong limit theorem for the average of ternary functions of Markov chains in bi-infinite random environments
- The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree
- The ergodic theory of Markov chains in random environments
- The Individual Ergodic Theorem of Information Theory
- The Asymptotic Equipartition Property for<tex>$M$</tex>th-Order Nonhomogeneous Markov Information Sources
- A kind of asymptotic properties of moving averages for Markov chains in Markovian environments
- THE SHANNON–MCMILLAN THEOREM FOR MARKOV CHAINS INDEXED BY A CAYLEY TREE IN RANDOM ENVIRONMENT
- The strong law of large numbers for moving average of continuous state nonhomogeneous Markov chains
- The asymptotic equipartition property of Markov chains in single infinite Markovian environment on countable state space
- THE GENERALIZED ENTROPY ERGODIC THEOREM FOR NONHOMOGENEOUS MARKOV CHAINS INDEXED BY A HOMOGENEOUS TREE
- A Note on the Ergodic Theorem of Information Theory
- The Basic Theorems of Information Theory
This page was built for publication: Some generalized strong limit theorems for Markov chains in bi-infinite random environments