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随机环境中马氏链函数加权和的极限定理
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O211.62[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]湖北大学数学与统计学院,武汉430062
  • 相关基金：国家自然科学基金（61070225,11071058）资助
作者： 万成高, 许雪, 程龚
关键词： 随机环境, 马氏链, 极限定理, 加权和, 强收敛性, Random environments, Markov Chains, Limit theorem, Weighted sums, Strong convergence
中文摘要：

该文研究了随机环境中马氏链函数的极限定理,给出了随机环境中马氏链函数加权和强收敛性成立的一系列充分条件,这些结果推广和改进了已知的一些文献中随机变量序列加权和的相应的结论.

英文摘要：

In this paper,the limit theorems for function of Markov Chains in random environments are investigated.Moreover,some sufficient conditions for the strong convergence of the weighted sums to hold for function of Markov Chains in random environments are obtained,which extend and improve the related known works for weighted sums of random variables in the literature.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139