Complete Convergence and Complete Moment Convergence for Weighted Sums of ANA Random Variables
孟兵 1吴群英1
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作者信息
1. 桂林理工大学数学与统计学院,桂林,541004
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摘要
本文研究了不同分布下 ANA 随机变量序列加权和的完全收敛性与完全矩收敛性.所得结果推广了Ann和Yuan[1]以及Shen等[2]的结果到ANA序列的情形.
Abstract
In this paper,we investigate the complete convergence and complete moment conver-gence for weighted sums of arrays of rowwise asymptotically negatively associated(ANA)random variables,without assuming identical distribution.The obtained results not only extend those of An and Yuan[1]and Shen et al.[2]to the case of ANA random variables,but also partially improve them.
关键词
ANA随机变量/完全收敛性/完全矩收敛性/加权和
Key words
ANA random variables/complete convergence/complete moment convergence/weighted sums
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基金项目
National Natural Science Foundation of China(12061028)
National Natural Science Foundation of China(71871046)
Support Program of the Guangxi China Science Foundation(2018GXNSFAA281011)
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