Almost sure convergence theorem and strong stability for weighted sums of NSD random variables

Authors
Shen, Yan Wang, Xue Jun Yang, Wen Zhi Hu, Shu He
Citation
Shen, Yan et al., Almost sure convergence theorem and strong stability for weighted sums of NSD random variables, Acta mathematica Sinica. English series (Print) , 29(4), 2013, pp. 743-756
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
4
Year of publication
2013
Pages
743 - 756
Database
ACNP
SICI code
Abstract
In this paper, Kolmogorov-type inequality for negatively superadditive dependent (NSD) random variables is established. By using this inequality, we obtain the almost sure convergence for NSD sequences, which extends the corresponding results for independent sequences and negatively associated (NA) sequences. In addition, the strong stability for weighted sums of NSD random variables is studied.