The strong deviation theorem is one of the central questions for studying in the international Probability theory . This paper brings in relative entropy ratio of sample as a measure of deviation between arbitrary random field and Markov random fields of order two on a non-homogeneous tree, and gives a strong deviation theorem on arbitrary probability measure of (Ω,F) by constructing a martingale and using Doob's martingale convergence theorem.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.