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标题：Complete Convergence for Weighted Sums of <svg style="vertical-align:-3.294pt;width:20.2125px;" id="M1" height="20.5875" version="1.1" viewBox="0 0 20.2125 20.5875" width="20.2125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.5875)"> <g transform="translate(72,-55.53)"> <text transform="matrix(1,0,0,-1,-71.95,58.86)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜌</tspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.04)"> <tspan style="font-size: 12.55px; " x="0" y="0">∗</tspan> </text> </g> </g> </svg>-Mixing Random Variables
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作者：Soo Hak Sung
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2010
卷号：2010
DOI：10.1155/2010/630608
出版社：Hindawi Publishing Corporation
摘要：We obtain the complete convergence for weighted sums of 𝜌∗-mixing random variables. Our result extends the result of Peligrad and Gut (1999) on unweighted average to a weighted average under a mild condition of weights. Our result also generalizes and sharpens the result of An and Yuan (2008).