JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (1): 102-110.doi: 10.6040/j.issn.1671-9352.0.2016.126

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Precise asymptotics in the complete moment convergence for NA random variables

DENG Xiao-qin, WU Qun-ying*   

  1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China
  • Received:2016-03-24 Online:2017-01-20 Published:2017-01-16

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Abstract: Let {Xn; n≥1} be a strictly stationary sequence of negatively associated random variables with mean zero and finite variance. We obtain general functions for the precise asymptotics of the logarithm law in the complete moment convergence, which about partial sums and the maximum of partial sums under suitable conditions for NA random sequences, and expand the application range.

Key words: complete moment convergence, NA sequence, precise asymptotics, the logarithm law

CLC Number: 

  • O211.4
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