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相依样本平滑移动过程的矩完全收敛性
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 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]安徽师范大学数学计算机科学学院,安徽芜湖241003
  • 相关基金：Supported by the National Natural Science Foundation of China （10901003）; the Key Project of Chinese Ministry of Education （211077）; the Anhui Provincial Natural Science Foundation（1208085MA11）
作者： 郭明乐[1], 何润东[1]
关键词： 平滑移动过程, φ-混合, 完全收敛性, 矩完全收敛性, moving average process, -mixing, complete convergence, complete moment convergence
中文摘要：

本文研究了基于 -混合随机序列的平滑移动过程. 利用矩不等式和截尾的方法, 获得了基于 -混合随机序列平滑移动过程的矩完全收敛性的充分条件, 推广了文[4]和[8]的结果.

英文摘要：

In this paper, the moving average processes based on -mixing random sequence is investigated. By using moment inequality and truncation method, sufficient conditions for complete moment convergence of moving average processes based on -mixing random sequence are obtained. We improve some results in [4] and [10].

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期刊信息
  • 《数学杂志》
  • 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:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 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:3910