数学物理学报 ›› 2010, Vol. 30 ›› Issue (6): 1394-1401.

• 论文 • 上一篇    下一篇

阵列滑动和的强收敛性

陈平炎|管总平   

  1. 暨南大学数学系 广州 510630;暨南大学统计学系 广州 510630
  • 收稿日期:2008-07-01 修回日期:2009-09-26 出版日期:2010-12-25 发布日期:2010-12-25
  • 基金资助:

    国家自然科学基金资助项目

Strong Law for Moving Average Processes of Arrays

 CHEN Ping-Yan, GUAN Zong-Ping   

  1. Department of Mathematics, Jinan University, Guangzhou 510630;Department of Statistics, Jinan University, Guangzhou 510630
  • Received:2008-07-01 Revised:2009-09-26 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金资助项目

摘要:

该文获得了独立同分布随机变量阵列滑动平均和的对数律成立的充分必要条件, 推广了已有的结果.

关键词: 对数律, 滑动平均和, 独立同分布随机变量阵列

Abstract:

In this paper, the sufficient and necessary conditions of the law of logarithm law for the moving average processes of array of independent identically distributed random variables are obtained, which extend some well-known results.

Key words: Law of logarithm, Moving average processes, Array of independent identically distributed random variables

中图分类号: 

  • 60F05