| NA随机变量加权和的极限结果 |
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| 引用本文： | 陈平炎. NA随机变量加权和的极限结果[J]. 数学物理学报(A辑), 2005, 25(4): 489-495 |
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| 作者姓名： | 陈平炎 |
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| 作者单位： | 暨南大学数学系,广州510630 |
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| 基金项目： | 国家自然科学基金（10271120）资助 |
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| 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.
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| 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. |
| 文章编号： | 1003-3998(2005)04-489-07 |
| 收稿时间： | 2003-10-28 |
| 修稿时间： | 2003-10-28 |
Limiting Behavior of Weighted Sums of Negatively Associated Random Variables |
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| CHEN Beng-Tan. Limiting Behavior of Weighted Sums of Negatively Associated Random Variables[J]. Acta Mathematica Scientia, 2005, 25(4): 489-495 |
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| Authors: | CHEN Beng-Tan |
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| Abstract: | The Marcinkiewcz-Zygmund strong laws of large numbers and complete convergence are established for weighted sums of negatively associated random variables under certain moments both on the weights and the distribution. These complement extend the results of Cuzick(1995) and Bai and Cheng(2000). |
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| Keywords: | Marcinkiewcz-Zygmund strong laws of large numbers Complete convergence Weighted sums NA random variables. |
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