Some Limit Properties of the Harmonic Mean of Transition Probabilities for Markov Chains in Markovian Environments Indexed by Cayley's Trees

Huilin Huang

International Journal of Stochastic Analysis, 2013, vol. 2013, 1-5

Abstract:

We prove some limit properties of the harmonic mean of a random transition probability for finite Markov chains indexed by a homogeneous tree in a nonhomogeneous Markovian environment with finite state space. In particular, we extend the method to study the tree-indexed processes in deterministic environments to the case of random enviroments.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:961571

DOI: 10.1155/2013/961571

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