吉林大学学报(理学版)

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NA序列部分和之和的大数定律及重对数律的精确渐近性

邹广玉1, 吕阳阳2   

  1. 1. 长春工程学院 理学院, 长春 130012; 2. 东北师范大学 数学与统计学院, 长春 130024
  • 收稿日期:2014-03-12 出版日期:2015-01-26 发布日期:2015-01-19
  • 通讯作者: 邹广玉 E-mail:jingyang999@126.com

Precise Asymptotics in the Law of Large Numbers and IteratedLogarithm for the Sum of Partial Sums of NA Sequences

ZOU Guangyu1, LV Yangyang2   

  1. 1. School of Science, Changchun Institute of Technology, Changchun 130012, China;
    2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2014-03-12 Online:2015-01-26 Published:2015-01-19
  • Contact: ZOU Guangyu E-mail:jingyang999@126.com

摘要:

利用NA序列部分和之和的渐近分布, 得到了NA序列部分和之和的大数定律及重对数律的精确渐近性.

关键词: NA序列, 部分和之和, 精确渐近性

Abstract:

With the aid of the asymptotic distribution for sum of partial sums of NA sequences, some results on precise asymptotics were obtained in the
 law of large numbers and iterated logarithm for the sum of partial sum of NA sequences.

Key words: NA sequences, sum of partial sum, precise asymptotics

中图分类号: 

  • O211.4