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Some limit properties of random transition probability for second-order nonhomogeneous Markov chains indexed by a tree. (English) Zbl 1191.60084

Summary: 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.

MSC:

60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60F15 Strong limit theorems
60J35 Transition functions, generators and resolvents
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References:

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