The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems

Wen Liu and Liying Wang

Statistics & Probability Letters, 2003, vol. 63, issue 2, 113-121

Abstract: By introducing the sample relative entropy rate as a measure of the deviation between the arbitrary random fields and the Markov chain fields 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 study of the strong limit theorems for Markov chains is applied.

Keywords: Markov; chain; fields; on; Cayley; trees; Sample; relative; entropy; rate; Small; deviation; theorem; Strong; deviation; theorem; Strong; limit; theorem (search for similar items in EconPapers)
Date: 2003
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