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行内NA组列的完全收敛性
  • ISSN号：1008-9497
  • 期刊名称：《浙江大学学报：理学版》
  • 时间：0
  • 分类：O211.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]浙江大学数学系,浙江杭州310027, [2]湖州中学,浙江湖州313000
  • 相关基金：国家自然科学基金资助项目（10671176,10771192＆70871103）
作者： 凌红[1,2], 傅可昂[1]
关键词： 行内NA三角组列, 完全收敛, 弱K平均控制, triangular arrays of rowwise NA random variables, complete convergence, weakly K-mean domination
中文摘要：

通过建立一个改进部分和极大值的不等式，在二阶矩可能不存在的条件下，得到了行内NA三角组列的完全收敛性．所得到的结果推广了以前关于行内独立和行内NA序列相应的结果．

英文摘要：

By an improved probability inequality for the maximum of partial sums, the complete convergence is discussed for triangular arrays of rowwise NA random variables whose 2nd-moment may be infinite. The previous corresponding results of triangular arrays of rowwise are independent or NA random variables are extended.

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期刊信息
  • 《浙江大学学报：理学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:浙江大学
  • 主编：贺贤士 张富春
  • 地址：杭州市天目山路148号
  • 邮编：310028
  • 邮箱：zdxb_l@zju.edu.cn
  • 电话：0571-88272803
  • 国际标准刊号：ISSN：1008-9497
  • 国内统一刊号：ISSN：33-1246/N
  • 邮发代号:32-36
  • 获奖情况:
  • 第二届中国高校精品科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,英国动物学记录,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（2014版）
  • 被引量:7855