A Strong Deviation Theorem for Markov Chains Functional Indexed by a Non-homogeneous Tree

机译：非均匀树的马尔可夫链的强大偏差定理

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摘要

The strong deviation theorems is one of the central questions for studying in the International Probability theory. In this paper, a strong deviation theorem for Markov chains functional indexed by a non-homogeneous tree were obtained by constructing a non-negative martingale.

机译：强大的偏差定理是在国际概率理论中学习的核心问题之一。本文通过构建非负鞅获得非均匀树冠的马尔可夫链的强偏差定理。

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《International symposium on intelligent ubiquitous computing and education》|2010年||共4页
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作者
Shaohua JIN; Yanmin ZHANG; Yanping WAN; Nan LI; Huipeng ZHANG;
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正文语种
中图分类计算技术、计算机技术;
关键词
Markov chains; martingale; non-homogeneous tree; strong deviation theorem;

机译：马尔可夫链;鞅;非同质树;强大的偏差定理;

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2. A Class of Strong Deviation Theorems for the Random Fields Associated with Nonhomogeneous Markov Chains Indexed by a Bethe Tree [J] . Weiguo Yanga* Stochastic Analysis and Applications . 2012,第2期

机译：与Bethe树索引的非齐次马氏链相关的随机场的一类强偏差定理。
3. A Class of Strong Deviation Theorems for the Random Fields Associated with Nonhomogeneous Markov Chains Indexed by a Bethe Tree [J] . WEIGUO YANG Stochastic Analysis and Applications . 2012,第2期

机译：与Bethe树索引的非齐次马氏链相关的随机场的一类强偏差定理。
4. A Strong Deviation Theorem for Markov Chains Functional Indexed by a Non-homogeneous Tree [C] . Shaohua Jin, Yanmin Zhang, Yanping Wan, International conference on teaching and computational science;WTCS 2009 . 2012

机译：非齐次树索引的马尔可夫链函数的一个强偏差定理
5. Large deviations of a class of non-homogeneous Markov chains. [D] . Dietz, Zachariah Espe. 2003

机译：一类非齐次马尔可夫链的大偏差。
6. Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains [O] . Rodrigo Cofré, Cesar Maldonado, Fernando Rosas 2018

机译：尖峰火车最大熵马尔可夫链的大偏差特性
7. Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees [O] . 2016

机译：可控树索引的非齐次马尔可夫链的一些强极限定理
8. SOME THEOREMS ON FUNCTIONALS OF MARKOV CHAINS [R] . Sidney C. Port 1964

机译：关于马尔可夫链功能的一些定理

A Strong Deviation Theorem for Markov Chains Functional Indexed by a Non-homogeneous Tree

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