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2010 Asia-Pacific Conference on Information Theory (APCIT 2010 E-BOOK)

Xi'an,China,10.1-10.2,2010

ISBN: 978-1-935068-47-1 Scientific Research Publishing, USA

E-Book 506pp Pub. Date: November 2010

Category: Computer Science & Communications

Price: $80

Title: Understanding of a Class of Small Deviation Theorems for Random Fields on a Homogeneous Tree
Source: 2010 Asia-Pacific Conference on Information Theory (APCIT 2010 E-BOOK) (pp 435-437)
Author(s): Shuai Wang, Faculty of Science, Jiangsu University, Zhenjiang , China, 212013
Yiqian Lv, Faculty of Science, Jiangsu University, Zhenjiang , China, 212013
Abstract: By introducing the asymptotic logarithmic likelihood ratio as a measure of Markov approximation of the arbitrary random fields on a homogeneous tree, by constructing a non-negative martingale on a homo- geneous tree, a class of small deviation theorems of functionals and a class of small deviation theorems of the frequencies of occurrence of states for random fields on a homogeneous tree are established. Some known results are generalized in this paper.
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