期刊论文

Huang, Haiwu

英文

JOURNAL OF MATHEMATICAL INEQUALITIES

1846-579X

2018

12

2

507-516

10.7153/jmi-2018-12-37

This paper is supported by the National Nature Science Foundation of China (11526085), the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(15YJCZH066), the Science and Technology Plan Project of Hengyang City (2017KJ183), the Nature Science Foundation of Guangxi Province (2014GXNSFBA118006), the Science and Technology Plan Project of Hunan Province(2016TP1020), the Construct Program of the Key Discipline in Hunan Province and University Students Research and Innovation Experiment Project of Hunan Province (C1718).

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In this work, the authors investigate the strong convergence for weighted sums of ρ* - mixing random variables and obtain an improved convergence theorem so called the complete moment convergence in some sense. The result archived not only generalizes the corresponding ones of Sung (Stat. Papers 52: 447-454 (2011)), Zhou et al. (J. Inequal. Appl. 2011, Article ID 157816 (2011)), Sung (Stat. Papers 54: 773-781 (2013)) and Wu et al. (Lith. Math. J. 54 (2): 220-228 (2014)...