Strong Law of Large Numbers for Countable Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree | Zendy

Bao Wang | Zendy; Weiguo Yang | Zendy; Zhiyan Shi | Zendy; Qing-pei Zang | Zendy

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Strong Law of Large Numbers for Countable Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree

Author(s) -

Bao Wang,

Weiguo Yang,

Zhiyan Shi,

Qing-pei Zang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/325361

Subject(s) - countable set , markov chain , bounded function , mathematics , tree (set theory) , degree (music) , combinatorics , markov process , discrete mathematics , law of large numbers , markov chain mixing time , markov property , markov model , random variable , statistics , mathematical analysis , physics , acoustics

We study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by an infinite tree with uniformly bounded degree, which extends the corresponding results of countable Markov chains indexed by a Cayley tree and generalizes the relative results of finite Markov chains indexed by a uniformly bounded tree

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