ANA随机变量序列加权和的完全收敛性与完全矩收敛性
Complete Convergence and Complete Moment Convergence for Weighted Sums of ANA Random Variables
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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 convergence 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 Yuan1 and Shen et al.2 to the case of ANA random variables, but also partially improve them.