Hilbert空间下CAANA序列的完全矩收敛

Hilbert空间下CAANA序列的完全矩收敛

Complete Moment Convergence for CAANA Sequences in Hilbert Spaces

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吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (4): 866-872.

费丹丹, 付宗魁, 李彩娟

信阳学院数学与统计学院, 河南信阳 464000

收稿日期:2021-09-16 出版日期:2022-07-26 发布日期:2022-07-26
通讯作者: 费丹丹 E-mail:fdd_together@163.com

FEI Dandan, FU Zongkui, LI Caijuan

School of Mathematics and Statistics, Xinyang University, Xinyang 464000, Henan Province, China

Received:2021-09-16 Online:2022-07-26 Published:2022-07-26

摘要： 用Hilbert空间下CAANA(coordinatewise asymptotically almost negatively associated)序列的性质及矩不等式考虑CAANA序列的一阶矩收敛性问题, 得到了Hilbert空间下不同分布的CAANA序列的完全矩收敛.

关键词: Hilbert空间, CAANA序列, 完全矩收敛

Abstract: By using the properties and the moment inequality of coordinatewise asymptotically almost negatively associated (CAANA) sequences in Hilbert space, we considered the problem of the first order moment convergence of CAANA sequences, and obtained the complete moment convergence of CAANA sequences with different distributions in Hilbert space.

Key words: Hilbert space, coordinatewise asymptotically almost negatively associated (CAANA) sequence, complete moment convergence

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O211.4

费丹丹, 付宗魁, 李彩娟. Hilbert空间下CAANA序列的完全矩收敛[J]. 吉林大学学报(理学版), 2022, 60(4): 866-872.

FEI Dandan, FU Zongkui, LI Caijuan. Complete Moment Convergence for CAANA Sequences in Hilbert Spaces[J]. Journal of Jilin University Science Edition, 2022, 60(4): 866-872.

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