数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1319-1330.doi: 10.1016/S0252-9602(17)30075-9

• 论文 • 上一篇    下一篇

COMPLETE MOMENT CONVERGENCE FOR LP-MIXINGALES

邱德华1, ?陈平炎2, Volodin ANDREI3   

  1. 1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China;
    2. Department of Mathematics, Jinan University, Guangzhou 510630, China;
    3. Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S 0A2, Canada
  • 收稿日期:2016-03-15 修回日期:2016-12-16 出版日期:2017-10-25 发布日期:2017-10-25
  • 通讯作者: Dehua QIU,E-mail:qiudhua@sina.com E-mail:qiudhua@sina.com
  • 作者简介:Pingyan CHEN,E-mail:tchenpy@jnu.edu.cn;Volodin ANDREI,E-mail:andrei.volodin@uregina.ca
  • 基金资助:

    This work was supported by the National Science Foundation of China (11271161).

COMPLETE MOMENT CONVERGENCE FOR LP-MIXINGALES

Dehua QIU1, Pingyan CHEN2, Volodin ANDREI3   

  1. 1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China;
    2. Department of Mathematics, Jinan University, Guangzhou 510630, China;
    3. Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S 0A2, Canada
  • Received:2016-03-15 Revised:2016-12-16 Online:2017-10-25 Published:2017-10-25
  • Contact: Dehua QIU,E-mail:qiudhua@sina.com E-mail:qiudhua@sina.com
  • Supported by:

    This work was supported by the National Science Foundation of China (11271161).

摘要:

In this paper, the complete moment convergence for Lp-mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp-mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known works in the literature.

关键词: complete moment convergence, q-smooth Banach space, Lp-mixingales

Abstract:

In this paper, the complete moment convergence for Lp-mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp-mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known works in the literature.

Key words: complete moment convergence, q-smooth Banach space, Lp-mixingales