| 引用本文： |
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李春红,吴群英,付艳莉.ND序列的中心极限定理[J].广西科学,2010,17(1):43-47,51. [点击复制]
- LI Chun-hong,WU Qun-ying,FU Yan-li.Central Limit Theorems for Arrays of Negatively Dependent Random Variables[J].Guangxi Sciences,2010,17(1):43-47,51. [点击复制]
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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. |
| 关键词: NA序列 ND序列 中心极限定理 |
| DOI： |
| 投稿时间：2009-04-08修订日期：2009-05-30 |
| 基金项目: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)及广西自然科学基金(桂科自0832262)资助。 |
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| Central Limit Theorems for Arrays of Negatively Dependent Random Variables |
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LI Chun-hong, WU Qun-ying, FU Yan-li
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| (College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| 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. |
| Key words: NA ND central limit theorems |
