期刊文献+

非齐次树上的马氏链场关于Γ-分布的强偏差定理

Some strong deviation theorems of the Γ-distribution for Markov chain fields on a non-homogeneous tree
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摘要 树指标随机过程已成为近年来发展起来的概率论的研究方向之一.强偏差定理一直是国际概率论界研究的中心课题之一.本文通过构造非负上鞅,根据Doob鞅收敛定理给出了模m的非齐次树上的马氏链场关于Γ-分布的若干强偏差定理. In recent years,tree indexed stochastic process has become one of the research directions for studying in the probability theory.The strong deviation theorem has been one of the central issues of the international probability theory.In this paper,through constructing a non-negative supermartingale and applies Doob's martingale convergence theorem,we give some strong deviation theorems of the Γ-distribution for Markov chain fields on a non-homogeneous tree of module m.
出处 《河北工业大学学报》 CAS 北大核心 2012年第3期24-27,共4页 Journal of Hebei University of Technology
基金 河北省教育厅科学研究计划(Z2008308)
关键词 非齐次树 上鞅 马氏链 强偏差定理 non-homogeneous trees supermartingale Markov chain strong deviation theorem
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参考文献2

  • 1Yang Weiguo, Liu Wen. The asymptotic equipartition property for Mth-order nonhomogeneous Markov information sources [J]. IEEE Trans Inform Theory, 2004, 50 (12): 3326-3330.
  • 2金少华,霍艳,张会鹏,王霞.一类非齐次树上的Shannon-McMillan定理[J].数学的实践与认识,2009,39(14):137-140. 被引量:9

二级参考文献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
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