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| 非齐次树指标马氏双链转移矩阵的一个强极限性质 | |
| 引用本文： | 金少华,马雷雨,赵秀梅,闫素平. 非齐次树指标马氏双链转移矩阵的一个强极限性质[J]. 数学的实践与认识, 2020, 0(7): 286-291 |
| 作者姓名： | 金少华 马雷雨 赵秀梅 闫素平 |
| 作者单位： | 河北工业大学理学院 |
| 基金项目： | 2019年河北省研究生示范课项目。 |
| 摘 要： | 强极限定理是概率论中的重要问题之一.通过引入广义赌博系统的概念,研究给出了关于非齐次树指标马氏双链转移矩阵的一个强极限定理. |
| 关 键 词： | 马氏双链 强极限定理 非齐次树 鞅 广义赌博系统 转移矩阵 |
A Strong Limit Property for the Transition Matrix of Double Markov chains indexed by a non-homogeneous tree |
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| JIN Shao-hua,MA Lei-yu,ZHAO Xiu-mei,YAN Su-ping. A Strong Limit Property for the Transition Matrix of Double Markov chains indexed by a non-homogeneous tree[J]. Mathematics in Practice and Theory, 2020, 0(7): 286-291 | |
| Authors: | JIN Shao-hua MA Lei-yu ZHAO Xiu-mei YAN Su-ping |
| Affiliation: | (College of Science,Hebei University of Technology,Tianjin 300401,China) |
| Abstract: | Strong limit theorem is one of the most important problems in probability theory.In this paper,by introducing the concept of generalized gambling systems,a strong limit theorem for the transition matrix of double Markov chains indexed by a non-homogeneous tree is established. |
| Keywords: | double Markov chains strong limit theorem non-homogeneous tree martingale generalized gambling systems transition matrix |
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