| 非齐次树上非齐次马氏链的若干强大数定律 |
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| 引用本文： | 金少华,任梦,孙赛赛,韩瑞泽.非齐次树上非齐次马氏链的若干强大数定律[J].纯粹数学与应用数学,2015(2):111-121,170. |
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| 作者姓名： | 金少华 任梦 孙赛赛 韩瑞泽 |
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| 作者单位： | 河北工业大学理学院,天津,300401 |
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| 基金项目： | 河北省高等学校科学技术研究重点项目 |
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| 摘 要： | 通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上m重连续状态非齐次马氏链的若干强大数定律,推广了相关结果.
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| 关 键 词： | 非齐次树 鞅 马氏链 强大数定律 |
A class of strong laws of large numbers of non-homogeneous Markov chain on a non-homogeneous tree |
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| Jin Shaohua,Ren Meng,Sun Saisai,Han Ruize.A class of strong laws of large numbers of non-homogeneous Markov chain on a non-homogeneous tree[J].Pure and Applied Mathematics,2015(2):111-121,170. |
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| Authors: | Jin Shaohua Ren Meng Sun Saisai Han Ruize |
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| Institution: | Jin Shaohua;Ren Meng;Sun Saisai;Han Ruize;College of Science, Hebei University of Technology; |
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| Abstract: | In this paper, through constructing a non-negative martingale and appllying Doob′s martingale convergence theorem to the research of a.e. convergence, a class of strong laws of large numbers of m-ordered continuous state non-homogeneous Markov chain on a non-homogeneous tree are given. We promote the relative results. |
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| Keywords: | non-homogeneous tree martingale Markov chain strong law of large numbers |
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