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Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables

Meiqian Chen, Kan Chen, Zijian Wang, Zhengliang Lu and Xuejun Wang

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 5, 1158-1173

Abstract: In this paper, the complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, for short) random variables is established. As applications, the complete convergence and the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise NSD random variables are also obtained. Finally, a numerical simulation is carried out to verify the validity of theoretical results. The results obtained in the paper extend the corresponding ones in the literature.

Date: 2020
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DOI: 10.1080/03610926.2018.1554136

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