数学物理学报
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甘师信;陈平炎
武汉大学数学与统计科学学院 武汉 430072
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Gan Shixin;Chen Pingyan
School of Mathematics and Statistics, Wuhan University, Wuhan 430072
Department of Mathematics, Jinan University, Guangzhou 510630
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摘要： 该文研究了NOD序列加权和的强收敛速度, 获得了一些新的完全收敛性的结果. 该文的结果推广了陈瑞林$^{[1]}$在NA情形时的结果,部分推广了Stout$^{[2]}$在独立同分布情形时的结果.
关键词: 强收敛速度, 完全收敛性, 加权和, NOD序列
Abstract: In this paper the authors study the strong convergence rate of weighted sums for NOD sequences. The authors obtain some new complete convergence results of weighted sums for NOD sequences. The results extend the results of Chen Ruilin$^{[1]}$ in NA sequence case and partially extendthe corresponding work of i.i.d. case due to Stout$^{[2]}$.
Key words: Strong convergence rate, Complete convergence, Weighted sums, NOD sequences
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甘师信;陈平炎. NOD序列加权和的强收敛速度[J]. 数学物理学报, 2008, 28(2): 283-290.
Gan Shixin;Chen Pingyan. Strong Convergence Rate of Weighted Sums for NOD Sequences[J]. Acta mathematica scientia,Series A, 2008, 28(2): 283-290.
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链接本文: http://121.43.60.238/sxwlxbA/CN/
http://121.43.60.238/sxwlxbA/CN/Y2008/V28/I2/283
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