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

机译:行负负超加性相关随机变量数组的部分和的完全矩收敛

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摘要

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.
机译:在本文中,建立了行负负超加性因变量(简称NSD)随机变量数组的完整矩收敛性。作为应用,还获得了行NSD随机变量数组的完全收敛性和Marcinkiewicz-Zygmund型强数定律。最后,通过数值模拟验证了理论结果的正确性。本文获得的结果扩展了文献中相应的结果。

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