Uniformly Weak Ergodicity of Markov Chainsin Random Environments

Xiao Yan · 2003

Cogburn(1984,1990) first introduced the concept for weakly ergodic that starting time is original point, and gave some conditions ensuring that Markov chains in random environments are weakly ergodic.Using the ideas of cogburn, for Markov chains in random environments, the definition of uniformly weakly ergodic that starting time is any point are introduced. Some conditions ensuring that Markov chains in random environments are uniformly weakly ergodic are given.

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