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一类特殊非齐次树上非齐次马尔可夫链的强律
引用本文:金少华,霍艳,孙曙光,宛艳萍,王东.一类特殊非齐次树上非齐次马尔可夫链的强律[J].大学数学,2011,27(1):48-51.
作者姓名:金少华  霍艳  孙曙光  宛艳萍  王东
作者单位:金少华,孙曙光,宛艳萍,JIN Shao-hua,SUN Shu-guang,WAN Yan-ping(河北工业大学,天津,300130);霍艳,HUO Yan(石家庄工商职业学院,石家庄,050091);王东,WANG Dong(河北工业大学,廊坊分校,廊坊,065000)
基金项目:河北省科学技术研究与发展指导计划项目
摘    要:极限定理一直是国际概率论界研究的中心课题之一.本文通过构造适当的辅助非负鞅而给出了一类特殊非齐次树上可列非齐次马尔可夫链场的若干强律.

关 键 词:树模型  非齐次马尔可夫链  非负鞅  强律

Some Strong Laws for Non-homogeneous Markov Chains on a Special Kind of Non-homogeneous Tree
JIN Shao-hua,HUO Yan,SUN Shu-guang,WAN Yan-ping,WANG Dong.Some Strong Laws for Non-homogeneous Markov Chains on a Special Kind of Non-homogeneous Tree[J].College Mathematics,2011,27(1):48-51.
Authors:JIN Shao-hua  HUO Yan  SUN Shu-guang  WAN Yan-ping  WANG Dong
Institution:JIN Shao-hua1,HUO Yan 2,SUN Shu-guang 1,WAN Yan-ping1,WANG Dong 3 (1.Hebei University of Technology,Tianjin 300130,China,2.Shijiazhuang Vocational College of Industry and Commerce,Shijiazhuang 050091,3.Hebei University of Technology,Langfang Branch,Langfang 065000,China)
Abstract:The limit theorems is one of the central questions for studying in the international Probability theory.In this paper,some strong laws for non-homogeneous Markov chains with countable states on a special kind of non-homogeneous tree were obtained by constructing a non-negative martingale.
Keywords:tree model  non-homogeneous Markov chains  non-negative martingale  strong laws  
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