研究树上二重非齐次马氏链随机转移概率的调和平均极限性质,作为推论,得到了树上非齐次马氏链以及非齐次马氏链上的随机转移概率调和平均极限性质.
In this paper,we study some limit properties of the harmonic mean of random transition probability for a second-order 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 indexed by a tree and a nonhomogeneous Markov chain.