数学物理学报 ›› 2005, Vol. 25 ›› Issue (4): 489-495.

• 论文 • 上一篇    下一篇

NA随机变量加权和的极限结果

 陈平炎   

  1. 暨南大学数学系 广州 510630
  • 出版日期:2005-08-25 发布日期:2005-08-25
  • 基金资助:

    国家自然科学基金(10271120)资助

Limiting Behavior of Weighted Sums of Negatively Associated Random Variables

 CHEN Beng-Tan   

  • Online:2005-08-25 Published:2005-08-25
  • Supported by:

    国家自然科学基金(10271120)资助

摘要:

该文研究了NA随机变量序列加权和的Marcinkiewcz Zygmund 强大数定律和完全收敛性.这些结果推广和完善了Bai和Cheng[1]和Cuzick[2]的结果.

关键词: Marcinkiewcz Zygmund强大数定律;完全收敛性;加权和;NA随机变量序列.

Abstract:

The Marcinkiewcz Zygmund strong laws of large numbers an d complete convergence are established for weighted sums of negatively associate d random variables under certain moments  both on the weights and the distributi on. These complement  extend the results of Cuzick(1995) and Bai and Cheng(2000) .

Key words: Marcinkiewcz Zygmund strong laws of large numbers;Com plete convergence