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The Absolute Average Strong Ergodic for a Nonhomogeneous Markov Chains

Yang Weiguo

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Abstract

The concept of absolute average strong ergodic for Markov chains is quoted.Firstly,we give the equivalence between the absolute average strong ergodic and strong ergodic for homogeneous Markov chains.And then we give sufficient condition of absolute average strong ergodic for a nonhomogeneous Markov chains through injecting another nonhomogeneous Markov chains which is strong ergodic.

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What this paper is about

The concept of absolute average strong ergodic for Markov chains is quoted.Firstly,we give the equivalence between the absolute average strong ergodic and strong ergodic for homogeneous Markov chains.And then we give sufficient condition of absolute average strong ergodic for a nonhomogeneous Markov chains through injecting another nonhomogeneous Markov chains which is strong ergodic.

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Available abstract

The concept of absolute average strong ergodic for Markov chains is quoted.Firstly,we give the equivalence between the absolute average strong ergodic and strong ergodic for homogeneous Markov chains.And then we give sufficient condition of absolute average strong ergodic for a nonhomogeneous Markov chains through injecting another nonhomogeneous Markov chains which is strong ergodic.

Key concepts: Ergodic theory, Markov chain, Mathematics, Equivalence (formal languages), Homogeneous, Stationary ergodic process, Markov process, Ergodicity

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