A class of strong deviation theorems for the sequence of real valued random variables with respect to continuous-state non-homogeneous Markov chains
Author:
Affiliation:
1. Faculty of Science, Jiangsu University, Zhenjiang, P. R. China
Funder
National Natural Science Foundation of China
Publisher
Informa UK Limited
Subject
Statistics and Probability
Link
https://www.tandfonline.com/doi/pdf/10.1080/03610926.2020.1734838
Reference12 articles.
1. The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree
2. Relative Entropy Densities and a Class of Limit Theorems of the Sequence of $m$-Valued Random Variables
3. A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables
4. The Markov approximation of the sequences of N-valued random variables and a class of small deviation theorems
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1. Small deviation properties concerning arrays of non-homogeneous Markov information sources;Frontiers in Physics;2023-03-17
2. A CLASS OF SMALL DEVIATION THEOREMS FOR FUNCTIONALS OF RANDOM FIELDS ON A TREE WITH UNIFORMLY BOUNDED DEGREE IN RANDOM ENVIRONMENT;Probability in the Engineering and Informational Sciences;2020-08-24
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