COMPLETE MOMENT CONVERGENCE FOR LP-MIXINGALES

Dehua QIU; Pingyan CHEN; Volodin ANDREI

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

Acta mathematica scientia, Series B >

2017 , Vol. 37 >Issue 5: 1319 - 1330

DOI: https://doi.org/10.1016/S0252-9602(17)30075-9

Articles

COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES

Dehua QIU ,
Pingyan CHEN ,
Volodin ANDREI

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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 date: 2016-03-15

Revised date: 2016-12-16

Online published: 2017-10-25

Supported by

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

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Abstract

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.

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

Cite this article

Dehua QIU , Pingyan CHEN , Volodin ANDREI . COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES[J]. Acta mathematica scientia, Series B, 2017 , 37(5) : 1319 -1330 . DOI: 10.1016/S0252-9602(17)30075-9

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