On complete convergence for arrays

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• 作者：Victor M. Kruglov ; Andrei I. Volodin and Tien-Chung Hu
• 关键词：Arrays ; Rowwise independence ; Sums of independent random variables ; Complete convergence
• 刊名：Statistics and Probability Letters
• 出版年：2006
• 期刊代码：56_01677152
• 类别：mt
• 出版时间：1 September 2006
• 卷：76
• 期：15
• 页码：1631-1640
• 文件大小：161 K

摘要

In this note we present new results on a complete convergence for arrays of rowwise independent random variables that generalize the results of Hu et al. [2003. Complete convergence for arrays of rowwise independent random variables. Comm. Korean Math. Soc. 18, 375–383], Kuczmaszewska [2004. On some conditions for complete convergence for arrays. Statist. Probab. Lett. 66, 399–405], and Sung et al. [2005. More on complete convergence for arrays. Statist. Probab. Lett. 71, 303–311]. Additional results that deal with complete convergence for rowwise dependent arrays are given.