Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 550-558.

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Some Strong Limit Theorems for Even-odd Markov Chain Fields Indexed by Trees 

  

  1. 1. School of Statistics, Renmin University of China2. School of Sciences, Tianjin University of Commerce3. Department of Mathe matics and Physics, Beijing Institute of Petro-Chemical Technology
  • Received:2006-01-05 Online:2010-12-30 Published:2023-05-18
  • About author:MA Li-na(1979-), female, native of Tianjin, a lecturer of Tianjin University of Commerce, Ph.D., engages in probability theory and statistics.
  • Supported by:
    Supported by the Special Fundation of Tianjin Education Committee(2006ZH91); Supported by the Key Discipline of Applied Mathematics at Tianjin University of Commerce(X0803);

Abstract: First, a class of strong limit theorems are proved by constructing two nonnegative martingales. Then they are applied to the study of all kinds of even-odd Markov chain fields and Markov chain fields defined in the paper. Finally, some strong limit theorems for the even-odd Markov chain fields and Markov chain fields are obtained.

Key words: strong limit theorem, even-odd Markov chain fields, generalized Bethe tree

CLC Number: