吉林大学学报(理学版)

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NA序列部分和随机乘积的渐近分布

邹广玉   

  1. 长春工程学院 理学院, 长春 130012
  • 收稿日期:2014-09-15 出版日期:2015-07-26 发布日期:2015-07-27
  • 通讯作者: 邹广玉 E-mail:jingyang999@126.com

Asymptotic Distribution for Random Product ofPartial Sums of NA Sequences

ZOU Guangyu   

  1. School of Science, Changchun Institute of Technology, Changchun 130012, China
  • Received:2014-09-15 Online:2015-07-26 Published:2015-07-27
  • Contact: ZOU Guangyu E-mail:jingyang999@126.com

摘要:

利用NA序列部分和最大值的矩不等式及部分和乘积的渐近分布, 得出NA序列部分和随机乘积的渐近分布, 并将已有部分和乘积的结果推广到部分和随机乘积上, 进而得到一类统计量随机乘积的渐近分布.

关键词: NA序列, 部分和乘积, 随机乘积, 渐近分布

Abstract:

Applying the moment inequality for the maximum of partial sums and asymptotic distribution for product of partial sums of NA sequences, the author obtained the asymptotic distribution for random product of partial sums of NA sequences and extended the asymptotic distribution for products of partial sums is  to the random product of partial sums of NA sequences so as to get  asymptotic distribution of random product for a class of random functions.

Key words: NA sequences, product of partial sums, random product, asymptotic distribution

中图分类号: 

  • O211.4