NSD随机阵列加权和最大值的收敛性

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (5): 1101-1106.

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Convergence Properties for Maximum Weighted Sums of NSD Random Arrays

HU Xueping, WANG Liuliu, YANG Rui

School of Mathematics and Physics, Anqing Normal University, Anqing 246133, Anhui Province, China

Received:2021-04-12 Online:2021-09-26 Published:2021-09-26

Abstract

Abstract: By utilizing the Rosenthal moment inequality of negatively superadditive dependent (NSD) random arrays and truncated method,
we discussed the weak convergence, the L^r convergence and the complete convergence for maximum weighted sums of NSD random arrays under the condition of {X_nk, 1≤k≤k_n, n≥1} on {a_nk, 1≤k≤k_n, n≥1} uniform integrability.

Key words: NSD random arrays; , uniform integrability, weak convergence, L^r convergence, complete convergence

CLC Number:

O211.4

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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Convergence Properties for Maximum Weighted Sums of NSD Random Arrays

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