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负相关样本平滑移动过程的矩完全收敛性（英文）
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 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）
作者： 郭明乐[1], 戴佳佳[1], 祝东进[1]
关键词： 平滑移动过程, 负相关, 完全收敛性, 矩完全收敛性, Moving average process, Negative association, Complete convergence, Complete moment convergence
中文摘要：

本文研究了负相关样本平滑移动过程Xk=∑∞i=-∞ai＋kYi的矩完全收敛性,这里{Yi,-∞

英文摘要：

The moving average processes Xk=∑∞i=-∞ai＋kYi is investigated,where {Yi,-∞i∞} is a double infinite sequence of negatively associated random variables which is stochastically dominated by a random variable X,and {ai,-∞i∞} is an absolutely summable sequence of real numbers.We prove the complete moment convergence of moving average processes under some suitable conditions,improving the former results.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 被引量:4139