Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (S1): 27-34.

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The Convergence of The Cesaro Averages and The Strong Law of Large Numbers for Nonhomogeneous Markov Chains

Yang Weiguo1, Liu Kaidi1, Dong Wei2   

  1. 1. Hebei Institute of Architectural Science and Technology. Handan 056038;
    2. North China Institute of Water Conservancy and Hydroelectric Power, Handn 056021
  • Received:1996-05-16 Revised:1997-07-20 Online:1998-12-26 Published:1998-12-26

Abstract: In this paper authers are to study the convergence of Cesaro averages and the stronglaw of large numbers for nonhomogeneous Markov chains,and to study the Shannon-McMillantheorem for nonhomogeneous Markov chaims by using above two concepts.

Key words: Countable nonhomogeneous Markov chains, convergence of Cesaro averages, strong law of large numbers, Shannon-McMilllan theorem

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