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NA随机变量序列的Berry-Esseen界

The Berry-Esseen bound for the sequence of negatively associated random variables
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摘要 负相关NA(negatively associated)随机变量序列是一类较弱的相依序列。讨论了NA随机变量序列的BerryEsseen界问题,在不同的条件下,得到了Berry-Esseen界分别为O(n-1/4·log n·loglogn)和O(n-1/6·log n·log log n),结果推广了已有文献的相关结论。 The negatively associated( NA) sequence of random variables is a weak dependent sequence. The Berry-Es-sen bound for the sequence of negatively associated random variables was discussed. Under some diffident conditions, the Berry-Esseen bounds were respectively presented as O(n-1/4·logn·loglogn) and O(n-1/6·logn·loglogn), and the results extend the corresponding one in the literature.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2014年第3期101-106,共6页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(11326172 11301004) 安徽省高校优秀青年人才基金资助项目(2012SQRL204) 安徽省自然科学基金资助项目(1308085QA03 1408085QA02) 安徽大学博士科研启动基金资助项目 安徽大学应用性教学示范课程资助项目(XJYYXKC08)
关键词 BERRY-ESSEEN界 NA随机变量 收敛速度 Berry-Esseen bound negatively associated random variables convergence rate
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参考文献10

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