Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 163-171.

• Articles • Previous Articles     Next Articles

The Limit Theorems for Function of Markov Chains in Random Environments

 WAN Cheng-Gao   

  1. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062
  • Received:2013-10-08 Revised:2014-12-10 Online:2015-02-25 Published:2015-02-25

Abstract:

In this paper, the limit theorems for function of Markov Chains in random environments are investigated. Moreover, some sufficient conditions for the strong convergence of the weighted sums to hold for function of Markov Chains in random environments are obtained, which extend and improve the related known works for  weighted sums of  random  variables  in the literature.

Key words: Random environments ,  Markov Chains ,  Limit theorem ,  Weighted sums ,  Strong convergence.

CLC Number: 

  • 60F99
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