吉林大学学报（理学版）2018，Vol.56Issue(2)：306-310,5.DOI:10.13413/j.cnki.jdxblxb.2018.02.20
随机序列几乎处处中心极限定理的注记
A Note on Almost Sure Central Limit Theorems for Random Sequences
摘要
Abstract
Let {Sk,k≥1}be a random sequence satisfying the almost sure central limit theorem,and{Tk,k≥1}be a random sequence with Tk→0(or 1)a.s.By using the limit theory,we proved that{Sk+Tk,k≥1}and {Sk/Tk,k≥1}satisfied the almost sure central limit theorem,and gave some examples such as linear processes,self-normalized sums,error variance estimates in linear models and products of partial sums.关键词
几乎处处中心极限定理/线性过程/自正则和/部分和乘积Key words
almost sure central limit theorem/linear processes/self-normalized sum/product of partial sum分类
数理科学引用本文复制引用
关丽红,李映红..随机序列几乎处处中心极限定理的注记[J].吉林大学学报（理学版）,2018,56(2):306-310,5.基金项目
吉林省自然科学基金(批准号:20140101005JC). （批准号:20140101005JC）
