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A class of small deviation theorems for random fields on a uniformly bounded tree

✍ Scribed by Shuai Wang, Weiguo Yang


Book ID
120732840
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
201 KB
Volume
2013
Category
Article
ISSN
1025-5834

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By introducing the sample relative entropy rate as a measure of the deviation between the arbitrary random ΓΏelds and the Markov chain ΓΏelds on Cayley trees, a class of small deviation theorems for the frequencies of state ordered couples is established. In the proof a new analytic technique in the s