Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables |
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| Authors: | Bing Meng Qunying Wu |
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| Affiliation: | 1. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, PR China;2. College of Science, Guilin University of Technology, Guilin, Guangxi, PR China;3. College of Science, Guilin University of Technology, Guilin, Guangxi, PR China |
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| Abstract: | In this paper, some complete convergence and complete moment convergence results for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables are studied. The obtained theorems not only extend the result of Gan and Chen (2007 Gan, S. X., and P. Y. Chen. 2007. On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables. Acta Mathematica Scientia. Series B 27 (2):283–90.[Crossref], [Web of Science ®] , [Google Scholar]) to the case of NSD random variables, but also improve them. |
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| Keywords: | Complete convergence complete moment convergence negatively superadditive dependent random variables. |
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