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Strong law of large numbers for Markov chains field on a Bethe tree

Author

Listed:
  • Yang, Weiguo
  • Liu, Wen

Abstract

In this paper, we study the strong law of large numbers on the frequencies of states for a Markov chains field on a Bethe tree. In the proof, we apply a new technique in the study of the strong limit theorem.

Suggested Citation

  • Yang, Weiguo & Liu, Wen, 2000. "Strong law of large numbers for Markov chains field on a Bethe tree," Statistics & Probability Letters, Elsevier, vol. 49(3), pages 245-250, September.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:3:p:245-250
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    Cited by:

    1. Yang, Weiguo, 2003. "Some limit properties for Markov chains indexed by a homogeneous tree," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 241-250, November.
    2. Shi, Zhiyan & Yang, Weiguo, 2010. "Some limit properties for the mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree," Statistics & Probability Letters, Elsevier, vol. 80(15-16), pages 1223-1233, August.

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