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ND序列的中心极限定理 被引量:2

Central Limit Theorems for Arrays of Negatively Dependent Random Variables
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摘要 讨论同分布ND序列的渐进正态问题,给出ND序列的中心极限定理,在NA的基础上得到了ND条件下同样的结果,并通过加进数列有界的控制,使得中心极限定理的证明过程得到进一步简化. This paper discusses the arrays of negatively dependent random variables,it is difficult to study sequences of ND because common moment inequality of ND have not been given.In this paper we suppose that the series of numbers has a marginal.Then we shall try to extend the limit theorem to sequences of ND.The same result is obtained and the certification process is also simplified.
出处 《广西科学》 CAS 2010年第1期43-47,51,共6页 Guangxi Sciences
基金 国家自然科学基金(10661006) 广西"新世纪十百千人才工程"专项资金(2005214) 广西自然科学基金(桂科自0832262)资助
关键词 NA序列 ND序列 中心极限定理 NA ND central limit theorems.
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参考文献14

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二级参考文献2

  • 1苏淳,中国科学.A,1996年,26卷,12期,1091页 被引量:1
  • 2苏淳(译),独立随机变量之和的极限定理,1991年 被引量:1

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