COMPLETE AND COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF (ρ)over-tilde-MIXING RANDOM VARIABLES

被引：2

作者：

Feng, Fengxiang ^{[1
,2
]}

Wang, Dingcheng ^{[2
]}

Wu, Qunying ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; complete moment convergence; weighted sums; (rho)over-tilde-mixing random variables; DEPENDENT RANDOM-VARIABLES; SEQUENCES;

D O I：

10.7153/jmi-2018-12-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish complete convergence results and a complete moment convergence result and prove the equivalence of them for weighted sums of (rho) over tilde -mixing random variables. Our results generalize and improve the results of Baum and Katz(1965) and Peligrad and Gut (1999). As an application, we obtain the Marcinkiewicz- Zygmund type strong law of large numbers for weighted sums of (rho) over tilde -mixing random variables.

引用

页码：201 / 217

页数：17

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