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An Almost Sure Central Limit Theorem for Self-normalized Weighted Sums

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摘要 LetX,X1,X2,···beasequenceofnondegeneratei.i.d.randomvariableswithzeromeans,whichisinthedomainofattractionofthenormallaw.Let{ani,1≤i≤n,n≥1}beanarrayofrealnumberswithsomesuitableconditions.Inthispaper,weshowthatacentrallimittheoremforself-normalizedweightedsumsholds.WealsodeduceaversionofASCLTforself-normalizedweightedsums.

DOI 54kwxnw04k/1206233

作者 Yong ZHANG;Xiao-yun YANG

机构地区不详

出处《应用数学学报：英文版》 2013年1期

关键词几乎处处中心极限定理加权和自正则随机变量归一化非退化

分类 [理学][基础数学]

出版日期 2013年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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应用数学学报：英文版

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几乎处处中心极限定理加权和自正则随机变量归一化非退化

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