吉林大学学报（理学版）2016，Vol.54Issue(5)：1036-1038,3.DOI:10.13413/j.cnki.jdxblxb.2016.05.19
截断和乘积几乎处处中心极限定理的注记
Note on the Almost Sure Central Limit Theorem for Product of Trimmed Sums
摘要
Abstract
Let {Xn,n ≥ 1 }be a sequence of i.i.d.positive square integrable random variables with continuous and independent medium tail distribution function. For a fixed constant a > 0, Tn (a)=Sn -Sn (a)denoted the trimmed sum,we proved the almost sure central limit theorem for the product of trimmed sums under the general weight by using the limit properties of the trimmed sums and the law of large numbers.关键词
截断和/几乎处处中心极限定理/中尾分布/对数平均Key words
trimmed sum/almost sure central limit theorem/medium tail distribution/logarithmic average分类
数理科学引用本文复制引用
赵珈玉,高瑞梅..截断和乘积几乎处处中心极限定理的注记[J].吉林大学学报（理学版）,2016,54(5):1036-1038,3.基金项目
国家自然科学基金(批准号:11501051) （批准号:11501051）
