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

Huilin Huang | Zendy

Open Access

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

Author(s) -

Huilin Huang

Publication year - 2013

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2013/961571

Subject(s) - mathematics , markov chain , limit (mathematics) , markov process , finite state , homogeneous , statistical physics , state space , tree (set theory) , harmonic , examples of markov chains , harmonic mean , space (punctuation) , pure mathematics , discrete mathematics , variable order markov model , markov model , combinatorics , mathematical analysis , statistics , computer science , physics , quantum mechanics , operating system

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. © 2013 Huilin Huang.

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