J4 ›› 2010, Vol. 48 ›› Issue (02): 183-188.

• 数学 • 上一篇    下一篇

h-可积条件下两两NQD阵列加权和的完全收敛性

章茜| 王文胜   

  1. 杭州师范大学 理学院, 杭州 310018
  • 收稿日期:2009-06-26 出版日期:2010-03-26 发布日期:2010-03-22
  • 通讯作者: 王文胜 E-mail:wswang@stat.ecnu.edu.cn

Complete Convergence for Weighted Sums of Pairwise NQDRandom Arrays under Condition of h-Integrability

ZHANG Qian, WANG Wensheng   

  1. College of Science, Hangzhou Normal University, |Hangzhou 310018, China
  • Received:2009-06-26 Online:2010-03-26 Published:2010-03-22
  • Contact: WANG Wensheng E-mail:wswang@stat.ecnu.edu.cn

摘要:

利用截尾和矩不等式方法研究在h-可积条件下, 两两NQD阵列加权和的完全收敛性, 建立并证明了关于两两NQD阵列加权和完全收敛性的两个重要定理, 推广和改进了一些已有的结果.

关键词: 两两NQD阵列, h-可积, 完全收敛性

Abstract:

Under the condition of h-integrability, we investigated the complete convergence for the weighted sums of pairwise NQD random arrays using the means moment inequality and truncated method. Two classical results for weighed sums of arrays were established. The results presented in this paper have extended and improved the main existed results.

Key words: pairwise NQD random arrays, h-integrability, complete convergence

中图分类号: 

  • O211.4