Almost Sure Central Limit Theorems for Heavily Trimmed Sums 被引量：1

Almost Sure Central Limit Theorems for Heavily Trimmed Sums

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摘要 We obtain an ahnost sure central limit theorem(ASCLT)for heavily trimmed sums.We also prove a function-typed ASCLT under the same conditions that assure measurable functions to satisfy the ASCLT for the partial sums of i.i.d,random variables with EX_1=0,EX_1~2=1. We obtain an ahnost sure central limit theorem(ASCLT)for heavily trimmed sums.We also prove a function-typed ASCLT under the same conditions that assure measurable functions to satisfy the ASCLT for the partial sums of i.i.d,random variables with EX_1=0,EX_1~2=1.

作者 FangWANG ShiHongCHENG

机构地区 DepartmentofMathematics DepartmentofProbabilityandStatistics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第5期869-878,共10页 数学学报（英文版）

基金 Supported by the National Natural Science Foundation of China(No.10071003) Beijing Municipal Education Commission(KM200310028107)

关键词 Almost sure central limit theorem Heavily trimmed sums Quantile-transform Almost sure central limit theorem Heavily trimmed sums Quantile-transform

分类号 O211.6 [理学—概率论与数理统计]

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1LU Chuanrong, QIU Jin & XU Jianjun School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China,Department of Mathematics, Zhejiang University, Hangzhou 310028, China.Almost sure central limit theorems for random functions[J].Science China Mathematics,2006,49(12):1788-1799. 被引量：2

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Acta Mathematica Sinica,English Series

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Almost Sure Central Limit Theorems for Heavily Trimmed Sums 被引量：1

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