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

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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… Click to show full abstract

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.

Keywords: arrays rowwise; complete moment; random variables; moment convergence

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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