YANG WEIGUO, YE ZHONGXING. Asymptotic Equipartition Property for Even-Odd Markov[J]. Chinese Journal of Applied Probability and Statistics, 2006, 22(1): 35-42.
Citation: YANG WEIGUO, YE ZHONGXING. Asymptotic Equipartition Property for Even-Odd Markov[J]. Chinese Journal of Applied Probability and Statistics, 2006, 22(1): 35-42.

Asymptotic Equipartition Property for Even-Odd Markov

  • In this paper, we study the asymptotic equipartition property for even-odd Markov chain fields on a Cayley tree. We first give strong law of large numbers on the frequencies of states and ordered state couples for even-odd Markov chain fields on a Cayley tree, then prove the asymptotic equipartition property for even-odd Markov chain fields on a Cayley tree with a.e. convergence.
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