On the strong convergence for weighted sums of negatively superadditive dependent random variables

Bing Meng; Dingcheng Wang; Qunying Wu

doi:10.1186/s13660-017-1530-9

On the strong convergence for weighted sums of negatively superadditive dependent random variables

J Inequal Appl. 2017;2017(1):269. doi: 10.1186/s13660-017-1530-9. Epub 2017 Oct 27.

Authors

Bing Meng^{1

2}, Dingcheng Wang¹, Qunying Wu²

Affiliations

¹ School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731 P.R. China.
² College of Science, Guilin University of Technology, Guilin, Guangxi 541004 P.R. China.

Abstract

In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 52:447-454, 2011), but also extend and improve the corresponding one of Chen and Sung (Stat. Probab. Lett. 92:45-52, 2014).

Keywords: negatively superadditive dependent random variables; strong convergence; weighted sums.