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The Berry-Esseen bound for the sequence of #br# negatively associated random variables#br#

LIU Ting-ting, CHEN Zhi-yong, LI Xiao-qin*, YANG Wen-zhi   

  1. School of Mathematical Sciences of Anhui University, Hefei 230601, Anhui, China
  • Received:2013-06-18 Online:2014-03-20 Published:2014-05-29

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Abstract: The negatively associated(NA) sequence of random variables is a weak dependent sequence. The BerryEssen 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.

Key words: Berry-Esseen bound, negatively associated random variables, convergence rate

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