Strong law of large numbers for generalized sample relative entropy of non homogeneous Markov chains
From MaRDI portal
Publication:4563470
DOI10.1080/03610926.2017.1321770zbMath1444.94033OpenAlexW2612140554MaRDI QIDQ4563470
Jie Yang, Yiqing Li, Yue Zhang, Zhiyan Shi, Bei Wang, Wei-guo Yang
Publication date: 1 June 2018
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2017.1321770
Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Measures of information, entropy (94A17)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- The generalized entropy ergodic theorem for nonhomogeneous Markov chains
- Some generalized limit theorems concerning delayed sums of random sequences
- On strong law of large numbers for dependent random variables
- On the strong law of large numbers for delayed sums and random fields
- The strong law of large numbers and the Shannon-McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree
- Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
- Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
- A class of small deviation theorems for functionals of random fields on a homogeneous tree
- Limit theorems for delayed sums
- A note on the strong law of large numbers for Markov chains indexed by irregular trees
- Retraction: ``Strong limiting behavior in binary search trees
- The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree
- The Individual Ergodic Theorem of Information Theory
- The Asymptotic Equipartition Property for<tex>$M$</tex>th-Order Nonhomogeneous Markov Information Sources
- THE ASYMPTOTIC EQUIPARTITION PROPERTY FOR ASYMPTOTIC CIRCULAR MARKOV CHAINS
- Some limit theorems of runs to the continuous‐valued sequence
- The Asymptotic Equipartition Property for a Nonhomogeneous Markov Information Source
- STRONG LAW OF LARGE NUMBERS FOR MARKOV CHAINS INDEXED BY SPHERICALLY SYMMETRIC TREES
- The Basic Theorems of Information Theory
- Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
This page was built for publication: Strong law of large numbers for generalized sample relative entropy of non homogeneous Markov chains