半直线上随机环境中随机游动的强大数定律(英文)  

The Strong Law of Large Numbers of Random Walk in Random Environments on Half-Line

作　　者：祝东进[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,芜湖241003

出　　处：《应用概率统计》2013年第1期97-105,共9页Chinese Journal of Applied Probability and Statistics

基　　金：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.The random walk in random environments（RWIRE） on the right half line with re？ected 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 τn,the frist time of RWIRE {Xn} from n-1 to n,which in turn yields a strong law of large numbers of RWIRE on the right half line.

关 键 词：强大数定律 随机游动 随机环境 常返 矩 

分 类 号：O211.4[理学—概率论与数理统计]