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φ混合序列的完全矩收敛性
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：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]安徽大学数学科学学院,安徽合肥230601
  • 相关基金：国家自然科学基金资助项目（11201001）; 安徽大学国家级大学生创新创业训练计划项目（201310357004）; 安徽大学研究性教学示范课程项目（xjyjkc1407）
作者： 郑璐璐[1], 葛梅梅[1], 刘艳芳[1], 王学军[1]
关键词： φ混合序列, 完全收敛性, 完全矩收敛性, sequences of φ-mixing random variables, complete convergence, complete moment convergence
中文摘要：

主要利用φ混合序列的矩不等式和随机变量的截尾技术,在适当的矩条件下,研究了φ混合序列的完全矩收敛性。本文的结果推广了独立序列和已有文献关于φ混合序列的相应结果,同时也将φ混合序列的完全收敛性改进到完全矩收敛性。

英文摘要：

Under some suitable moment conditions,the complete moment convergence for sequences of φ-mixing random variables was investigated by using the moment inequality of φ-mixing random variables and the truncated method.The result obtained in this paper extends the corresponding ones for independent random variables and φ-mixing random variables. In addition,the complete convergence is improved to complete moment convergence.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,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）,英国英国皇家化学学会文摘
  • 被引量:6243