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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (1): 102-110.doi: 10.6040/j.issn.1671-9352.0.2016.126

• • 上一篇    

NA序列完全矩收敛的精确渐近性

邓小芹,吴群英*   

  1. 桂林理工大学理学院, 广西 桂林 541004
  • 收稿日期:2016-03-24 出版日期:2017-01-20 发布日期:2017-01-16
  • 通讯作者: 吴群英(1961— ),女,博士,教授,研究方向为概率极限理论. E-mail:wqy666@glut.edu.cn E-mail:1084979551@qq.com
  • 作者简介:邓小芹(1989— ),女,硕士研究生,研究方向为概率极限理论. E-mail:1084979551@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11361019,11661029);广西自然科学基金资助项目(2015GXNSFAA139008)

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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摘要： 设{Xn; n≥1}是具有零均值、有限方差的严平稳负相关(negatively associated, NA)随机变量序列,在适当的条件下,得到了NA序列下部分和以及部分和最大值在对数律下的完全矩收敛精确渐近性的一般函数式,扩大了应用范围。

关键词: 对数律, 精确渐近性, 完全矩收敛, NA序列

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

中图分类号: 

  • O211.4
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