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NA随机变量加权和的极限结果 被引量:6

Limiting Behavior of Weighted Sums of Negatively Associated Random Variables
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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. 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).
作者 陈平炎
机构地区 暨南大学数学系
出处 《数学物理学报(A辑)》 CSCD 北大核心 2005年第4期489-495,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(10271120)资助
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 Marcinkiewcz-Zygmund strong laws of large numbers Complete convergence Weighted sums NA random variables.
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参考文献11

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  • 2Cuzick J. A strong law for weighted sums of i. i.d. random variables. J Theorem Probab, 1995, 8(3): 625-641.
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