COMPLETE MOMENT CONVERGENCE FOR LP-MIXINGALES

doi:10.1016/S0252-9602(17)30075-9

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

COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES

邱德华¹, ?陈平炎², Volodin ANDREI³

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 L^P-MIXINGALES

Dehua QIU¹, Pingyan CHEN², Volodin ANDREI³

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/Abstract

摘要：

In this paper, the complete moment convergence for L^p-mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued L^p-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, L^p-mixingales

Abstract:

Key words: complete moment convergence, q-smooth Banach space, L^p-mixingales

邱德华, ?陈平炎, Volodin ANDREI. COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES[J]. 数学物理学报(英文版), 2017, 37(5): 1319-1330.

Dehua QIU, Pingyan CHEN, Volodin ANDREI. COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES[J]. Acta mathematica scientia,Series B, 2017, 37(5): 1319-1330.

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COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES

COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES

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