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| 引用本文： | 祝东进. ��ֱ�����������������ζ���ǿ��������[J]. 应用概率统计, 2013, 29(1): 97-105 |
| 作者姓名： | 祝东进 |
| 作者单位： | ??????????????????????? |
| 基金项目： | supported by the National Natural Science Foundation of China(10901003);the Natural Science Foundation of Education Department of Anhui Province(KJ2012ZD01);the Philosophy and Social Science Planning Foundation of Anhui Province(AHSK11-12D128);the Anhui Provincial Natural Science Foundation (10040606Q30) |
| 摘 要： | 本文讨论了右半直线上带有原点反射壁的随机环境中随机游动,并给出了其常返性的充要条件.在非常返的情况下,获得了{Xn}从n-1到n首中时τn的二阶矩Eτn2的一个估计.同时,给出了右半直线上随机环境中随机游动的强大数定律. |
| 关 键 词： | 强大数定律 随机游动 随机环境 常返 矩 |
The Strong Law of Large Numbers of Random Walk in Random Environments on Half-Line |
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| Zhu Dongjin. The Strong Law of Large Numbers of Random Walk in Random Environments on Half-Line[J]. Chinese Journal of Applied Probability and Statisties, 2013, 29(1): 97-105 | |
| Authors: | Zhu Dongjin |
| Affiliation: | School of Mathematics and Computer Science, Anhui Normal University |
| Abstract: | The random walk in random environments (RWIRE) on the right half line with reflected barrier on the origin is discussed. The recurrence of RWIRE on the right half line is studied. In the non-recurrent case, we obtain an estimation for the second moment of , the frist time of RWIRE from to , which in turn yields a strong law of large numbers of RWIRE on the right half line. |
| Keywords: | Strong law of large numbers random walk random environment recurrence moment |
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