Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (5): 1319-1330.doi: 10.1016/S0252-9602(17)30075-9

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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).

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

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