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一类非齐次树上的Shannon-McMillan定理 被引量:9

Shannon-McMillan Theorem on a Kind of Non-homogeneous Tree
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摘要 通过构造适当的辅助鞅差序列,利用鞅差序列的收敛定理给出了一类特殊非齐次树上具有a.e.收敛性质的Shannon-M cM illan定理. Shannon-McMillan theorem which convergence almost everywhere on a special kind of non-homogeneous tree was given by constructing a martingale difference sequences and using the convergence theorem of martingale difference sequences.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第14期137-140,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金(10671052) 河北省科学技术研究与发展指导计划项目(07217181)
关键词 树模型 非齐次马尔可夫链 鞅差序列 SHANNON-MCMILLAN定理 tree model non-homogeneous markov chains martingale difference sequences Shannon-McMillan theorem
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参考文献4

  • 1Jin Shaohua,Jiang Huihui,Yan Lu,Chen Wenfeng.Some strong laws of the Random Selection System on aspecial kind of Non-homogeneous tree[].Proceedings of First International Conference on MathematicalModelling.2008 被引量:1
  • 2Spitzer F.Markov random fields on an infinite trees[].The Annals of Probability.1975 被引量:1
  • 3Yang,W. G.Some limit properties for Markov chains indexed by a homogeneous tree[].Statistics and Probability Letters.2003 被引量:1
  • 4W. Yang,W. Liu.Strong law of large numbers and Shannon-McMillan theorem for Markov fields on trees[].IEEE Transactions on Information Theory.2002 被引量:1

同被引文献9

  • 1马越,杨卫国,黄辉林.一类特殊非齐次树上马氏链的若干强大数定律[J].大学数学,2007,23(1):121-129. 被引量:1
  • 2Yang Weiguo. Some limit properties for Markov chains indexed by a homogeneous tree [J]. Statistics & Probability letters, 2003, 65 (3): 241-250. 被引量:1
  • 3YangWeiguo. TheAsymptoticPropertiesforNonhomogeneousMarkovchainsindexedbyahomogeneoustree [J]. IEEETranslnformTheory, 2007 (53): 3275-3280. 被引量:1
  • 4Yang Weiguo, Liu Wen. The asymptotic equipartition property for Mth-order nonhomogeneous Markov information sources [J]. IEEE Trans Inform Theory, 2004, 50 (12): 3326-3330. 被引量:1
  • 5Weiguo, Yang. And Wen, liu. The asymptotic equipartition property for mth-order nonhomoge- neous markov information sources[J]. IEEE Trans Inform Theory, 2004(50): 3326-3330. 被引量:1
  • 6Yang Weiguo, Liu Wen. The Asymptotic Equipartition Property for Mth-Order Nonhomogeneous Markov Information Sources [J]. IEEE Trans Inform Theory, 2004, 50 (12): 3326-3330. 被引量:1
  • 7Yang Weiguo,liu Wen.The Asymptotic Equipartition Property for Mth-Order Nonhomogeneous Markov Information Sources[].IEEE Transactions on Information Theory.2004 被引量:1
  • 8Yang Weiguo, Liu Wen. The Asymptotic Equipartition Property for Mth-Order Nonhomogeneous Markov Information Sources [J]. IEEE Trans Inform Theory, 2004, 50 (12): 3326-3330. 被引量:1
  • 9金少华.可列值相依随机序列的一个强极限定理[J].大学数学,1994,15(1):90-94. 被引量:1

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