Limit Theorems in One-Dimensional Random Walks with Random Environments

湖南师范大学自然科学学报 Pub Date : 2008-01-01 DOI:10.1515/9783112319024-009

Wang He-song

引用次数: 0

Abstract

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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随机环境下一维随机行走的极限定理

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。

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来源期刊

湖南师范大学自然科学学报

自引率

0.00%

发文量

3833

期刊介绍： Journal of Natural Science of Hunan Normal University (ISSN2096-5281, CN43-1542/N) was founded in 1956, is approved by the State Press and Publication General Administration of the People's Republic of China and sponsored by Hunan Normal University, is a comprehensive academic journal of natural science. It is a national Chinese core journal, Chinese science and technology core journal, China Journal Square double award journal, Caj-cd standard award-winning journal, and has won the first prize of the second national excellent science and technology journal, the first prize of the Ministry of Education's excellent university natural science journal, the nomination prize of the first national periodical award, the second national periodical award for 100 key journals, and the first and second ‘Top Ten’ journals of Hunan Province. It is the first and second ‘Top Ten’ scientific and technological journals in Hunan Province. The main columns are: Mathematics and Computer, Physics and Information Science, Chemistry and Chemical Materials, Life Science, Resources and Environment. At present, the journal is simultaneously included in 10 major international search institutions, namely: American Chemical Abstracts (CA), Mathematical Reviews (MR), Biological Abstracts (BP), Russian Journal of Abstracts (PЖ), Japanese Literature Express on Science and Technology (CBST), British Scientific Abstracts (INSPEC), German Mathematical Abstracts, and the series of Royal Society of Chemistry Abstracts, International Centre for Agricultural and Biological Research Abstracts (CAB) and Public Health Database (GH) in the UK, and Scopus database in the Netherlands. It is also included in the following large domestic databases: China Science Citation Database, CNKI China Knowledge Network Database, Wanfang Database, and Wipu Database.