山东大学学报(理学版)
山東大學學報(理學版)
산동대학학보(이학판)
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2014年
3期
101-106
,共6页
刘婷婷%陈志勇%李晓琴%杨文志
劉婷婷%陳誌勇%李曉琴%楊文誌
류정정%진지용%리효금%양문지
Berry-Esseen界%NA随机变量%收敛速度
Berry-Esseen界%NA隨機變量%收斂速度
Berry-Esseen계%NA수궤변량%수렴속도
Berry-Esseen bound%negatively associated random variables%convergence rate
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Berry-Esseen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 · log log n)和 O ( n-1/6· log n · log log n),结果推广了已有文献的相关结论。
負相關NA( negatively associated)隨機變量序列是一類較弱的相依序列。討論瞭NA隨機變量序列的Berry-Esseen界問題,在不同的條件下,得到瞭Berry-Esseen界分彆為O ( n-1/4· log n · log log n)和 O ( n-1/6· log n · log log n),結果推廣瞭已有文獻的相關結論。
부상관NA( negatively associated)수궤변량서렬시일류교약적상의서렬。토론료NA수궤변량서렬적Berry-Esseen계문제,재불동적조건하,득도료Berry-Esseen계분별위O ( n-1/4· log n · log log n)화 O ( n-1/6· log n · log log n),결과추엄료이유문헌적상관결론。
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.