随机环境下一维随机行走的极限定理

Wang He-song
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引用次数: 0

摘要

研究了具有随机时间环境的一维随机行走问题。当环境过程平稳且遍历时,该模型在一定条件下满足大数定律和中心极限定理。特别是在独立同分布环境下,得到了与经典大数定律和中心极限定理相对应的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Limit Theorems in One-Dimensional Random Walks with Random Environments
The one-dimensional random walk with random time-environments is considerd.When environmental process is stationary and ergodic,the model satisfies law of large numbers and central limit theorem under certain conditions.Especially in the case of independent and identically distributed environment,results corresponding to classical law of large numbers and central limit theorem are obtained.
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