数学物理学报 ›› 2017, Vol. 37 ›› Issue (2): 265-277.

• 论文 • 上一篇    下一篇

ρ混合随机变量序列加权和的矩完全收敛性

邱德华1, 段振华2   

  1. 1 广东财经大学数学与统计学院 广州 510320;
    2 广州铁路职业技术学院基础课部 广州 510430
  • 收稿日期:2016-05-31 修回日期:2016-11-20 出版日期:2017-04-26 发布日期:2017-04-26
  • 作者简介:邱德华,qiudhua@sina.com;段振华,gtxyjwc@163.com
  • 基金资助:

    国家自然科学基金(11271161)

Complete Moment Convergence for Weighted Sums of ρ-Mixing Random Variable Sequences

Qiu Dehua1, Duan Zhenghua2   

  1. 1 School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320;
    2 Department of Basic Courses, Guangzhou Institute of Railway Technology, Guangzhou 510430
  • Received:2016-05-31 Revised:2016-11-20 Online:2017-04-26 Published:2017-04-26
  • Supported by:

    Supported by the NSFC (11271161)

摘要:

该文研究了混合随机变量序列加权和的矩完全收敛性.利用混合随机变量的Rosenthal型最大值不等式,得到了混合随机变量序列加权和的矩完全收敛性定理,这些结果推广和改进了已知的一些文献中相应结论.

关键词: ρ混合随机变量, 矩完全收敛, 加权和

Abstract:

In this paper, we discuss complete moment convergence for weighted sums of -mixing random variables. Complete moment convergence theorems for weighted sums of -mixing random variable sequences are obtained by utilizing the Rosenthal maximal type inequality, which generalize and extend the well-known results in the literature.

Key words: ρ-Mixing random variables, Complete moment convergence, Weighted sums

中图分类号: 

  • O211.4