On the complete convergence for weighted sums of a class of random variables

Abstract In this article, some new results as regards complete convergence for weighted sums ∑ i = 1 n a n i X i $\sum_{i=1}^{n}a_{ni}X_{i}$ of random variables satisfying the Rosenthal type inequality are established under some mild conditions. These results extend the corresponding theorems of Den...

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Bibliographic Details
Main Authors: Jinghuan Zhao, Yan Sun, Yu Miao
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1165-2