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随机变量序列函数的几乎处处中心极限定理
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O211[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆400715, [2]浙江大学数学系,杭州310028
  • 相关基金：西南大学博士基金（SWUB2006054）和国家自然科学基金（10571159）资助
作者： 陈守全[1], 林正炎[2]
关键词： 几乎处处中心极限定理, 随机函数, 平稳强混合序列, U统计量, Almost sure central limit theorem, Random function, Stationary strongly mixing sequence, U-statistic.
中文摘要：

该文证明了随机元序列的一个一般的几乎处处中心极限定理，并把这一结论应用于随机变量序列的函数．

英文摘要：

The authors prove a general almost sure central limit theorem for a sequence of random elements, and apply the result to the functionals of random variables.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,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:5382