By introducing the asymptotic logarithmic likelihood ratio as a measure of Markov approximation of the arbitrary random field on a homogeneous tree, and constructing a non-negative martingale, a class of small deviation theorems for random fields is established, and an existing result is generalized.
PENG Weicai
, YANG Weiguo. , {{custom_author.name_en}}.
A Class of Small Deviation Theorems for Random Fields on a Homogeneous Tree. Journal of Systems Science and Mathematical Sciences, 2009, 29(5): 577-584 https://doi.org/10.12341/jssms08396