期刊论文

Huang, Haiwu

英文

Mathematica Slovaca

0139-9918

2018

68

6

1495-1505

10.1515/ms-2017-0197

2010 M a t h e m a t i c s S u b j e c t C l a s s i f i c a t i o n: 60F15. K e y w o r d s: ANA random variables, complete convergence, weighted sums. 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 Hunan Province (2016TP1020) and the Construct Program of the Key Discipline in Hunan Province and the Science and Technology Plan project of Hengyang City (2017KJ183).

本校为第一且通讯机构

In this paper, the author investigates the complete convergence for weighted sums of asymptotically negatively associated (ANA) random variables with different distributions, and obtains some equivalent conditions of complete convergence theorem for weighted sums as well as summation of ANA cases. These results generalize and improve the corresponding ones obtained by Baum and Katz (1965), Peligrad and Gut (1999) and Cai (2006), respectively...