Some Limit Properties of Random Transition Probability for Second-Order Nonhomogeneous Markov Chains Indexed by a Tree

Zhiyan Shi, Weiguo Yang
2009 Journal of Inequalities and Applications  
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.
doi:10.1155/2009/503203 fatcat:lt4a4ymdbzdlzltkz67k3yy3lm