| 一类非齐次树上二重马氏链的若干强偏差定理 |
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| 引用本文： | 宛艳萍,金少华,王霞,孙曙光,崔春红.一类非齐次树上二重马氏链的若干强偏差定理[J].大学数学,2011,27(3):36-39. |
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| 作者姓名： | 宛艳萍 金少华 王霞 孙曙光 崔春红 |
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| 作者单位： | 1. 河北工业大学,天津,300130
2. 河北农业大学中兽医学院,河北,定州,073000 |
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| 基金项目： | 河北省科学技术研究与发展指导计划项目(Z2008308) |
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| 摘 要： | 强偏差定理一直是概率论研究的中心问题之一.本文通过构造一非负鞅,利用Doob鞅收敛定理得到了一类特殊非齐次树上二重马尔可夫链关于三元状态序组出现频率的若干强偏差定理.
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| 关 键 词： | 马氏链场 强偏差定理 二重马氏链 鞅 鞅收敛定理 |
Some Strong Deviation Theorems for Two Orders Markov Chains on a Kind of Non-homogeneous Tree |
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| WAN Yan-ping,JIN Shao-hua,WANG Xia,SUN Shu-guang,CUI Chun-hong.Some Strong Deviation Theorems for Two Orders Markov Chains on a Kind of Non-homogeneous Tree[J].College Mathematics,2011,27(3):36-39. |
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| Authors: | WAN Yan-ping JIN Shao-hua WANG Xia SUN Shu-guang CUI Chun-hong |
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| Institution: | WAN Yan-ping1,JIN Shao-hua1,WANG Xia1,SUN Shu-guang1,CUI Chun-hong2 (1.Hebei University of Technology,Tianjin 300130,China,2.College of Traditional Chinese Veterinary Medicine,Agricultural University of Hebei,Dingzhou,Hebei 073000,China) |
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| Abstract: | The strong deviation theorems is one of the central questions for studying Probability theory.In this paper,some strong deviation theorems for the frequency of occurrence of 3-tuple of states for two orders Markov chains on a special non-homogeneous tree are obtained by constructing a non-negative martingale and using the martingale convergence theorem. |
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| Keywords: | Markov chain fields strong deviation theorem two orders Markov chains martingale martingale convergence theorem |
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