Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (5): 1101-1106.
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HU Xueping, WANG Liuliu, YANG Rui
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Abstract: By utilizing the Rosenthal moment inequality of negatively superadditive dependent (NSD) random arrays and truncated method, we discussed the weak convergence, the Lr convergence and the complete convergence for maximum weighted sums of NSD random arrays under the condition of {Xnk, 1≤k≤kn, n≥1} on {ank, 1≤k≤kn, n≥1} uniform integrability.
Key words: NSD random arrays; , uniform integrability, weak convergence, Lr convergence, complete convergence
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HU Xueping, WANG Liuliu, YANG Rui. Convergence Properties for Maximum Weighted Sums of NSD Random Arrays[J].Journal of Jilin University Science Edition, 2021, 59(5): 1101-1106.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2021/V59/I5/1101
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