phi混合随机变量序列加权和的矩完全收敛性
Complete Moment Convergence for Weighted Sums of -Mixing Random Variable Series
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摘要: 本文研究了phi混合随机变量序列加权和的矩完全收敛性, 利用phi混合随机变量序列的Rosenth-al型不等式,得到了phi混合随机变量序列加权和的矩完全收敛性定理,这些结果推广和改进了已有的结果.Abstract: In this paper, the complete moment convergence for weighted sums of -mixing random variable series are investigated. By using Rosenthal type inequality, we obtain complete moment convergence theorems for weighted sums of -mixing random variable series, which generalize and improve the corresponding results.