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φ~混合序列加权和的强收敛性
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 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]安徽大学,数学科学学院,安徽合肥230601
  • 相关基金：国家自然科学基金（11201001）;安徽省自然科学基金（1208085QA03）;安徽大学应用性教学示范课程（XJYYXKC04）;安徽大学火学生创新创业训练计划（201310357004）;安徽大学大学牛科研训练计划（KYXL2012007;kyx12013003）
作者： 葛梅梅[1], 邓新[1], 陈志勇[1], 王学军[1], 王曦泽[1]
关键词： ■混合序列, 加权和, 强收敛性, φ-mixing sequence, weighed sums, strong convergence
中文摘要：

主要利用φ混合序列的矩不等式讨论了φ混合序列加权和的强收敛性质，给出了证明函混合序列加权和的强收敛性质的充分条件．该文结果推广了独立序列的相应结果．

英文摘要：

In this paper, the strong convergence for weighted sums of φ-mixing sequence is studied by using the moment inequality of φ-mixing random variables, and some sufficient conditions to prove the strong convergence for weighted sums of φ-mixing sequence are given. The results obtained in the paper extend some corresponding ones for independent sequences.

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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:3669