Precise asymptotics for a new kind of complete moment convergence

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• 作者：Weidong Liu and Zhengyan Lin
• 关键词：Precise asymptotics ; Independent random variables ; Moment ; 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 October 2006
• 卷：76
• 期：16
• 页码：1787-1799
• 文件大小：169 K

摘要

In this paper, we introduce a new kind of complete moment convergence, which includes complete convergence as a special case. And we also achieves some results about precise asymptotics for this kind of complete moment convergence. For example, let {X,X_n;n1} be a sequence of i.i.d. random variables, then