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标题：Complete Moment Convergence of Weighted Sums for Arrays of Rowwise <svg style="vertical-align:-3.69pt;width:15.95px;" id="M1" height="15.075" version="1.1" viewBox="0 0 15.95 15.075" width="15.95" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,0,0,-.022,.062,10.413)"><path id="x1D74B" d="M259 30l27 122q23 103 52 155q30 53 92 105q15 13 47 27q31 15 52 15q57 0 98 -45q40 -43 40 -118q0 -116 -82 -204q-84 -90 -220 -97l-44 -195h-117l45 195q-91 7 -142.5 58t-51.5 130q0 120 88 202t209 82h41l-10 -39q-83 0 -147 -81q-65 -80 -65 -172q0 -55 24.5 -94
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作者：Ming Le Guo
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/730962
出版社：Hindawi Publishing Corporation
摘要：The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a φ-mixing random sequence is obtained, which improves the result of Kim et al. (2008).