%0 Journal Article
%T Some Limit Properties of Random Transition Probability for Second-Order Nonhomogeneous Markov Chains Indexed by a Tree
%A Shi Zhiyan
%A Yang Weiguo
%J Journal of Inequalities and Applications
%D 2009
%I Springer
%X We study some limit properties of the harmonic mean of random transition probability for a second-order nonhomogeneous Markov chain and a nonhomogeneous Markov chain indexed by a tree. As corollary, we obtain the property of the harmonic mean of random transition probability for a nonhomogeneous Markov chain.
%U http://www.journalofinequalitiesandapplications.com/content/2009/503203