华东师范大学学报（自然科学版）Issue(2)：146-153,159,9.DOI:10.3969/j.issn.1000-5641.2013.02.018
自正则部分和精确渐近性的一般结果
General result on precise asymptotics for self-normalized sums
摘要
Abstract
Gien a sequence of i.i.d. nondegenerate random variables with zero means and belonging to the domain of attraction of the normal law, by the weak convergence theorem and the tail probability inequalities of the independent and identically distributed sequence, a general result on precise asymptotics for the self-normalized sums with generalized boundary functions has been proved. It can describe the relations among the weighted function, boundary function, convergence rate and limit value, then the known results of this field are improved and extended.关键词
精确渐近性/自正则和/一般结果/独立同分布Key words
precise asymptotics/ self-normalized sums/ a general result/ independent and identically distributed (i.i.d.)分类
数理科学引用本文复制引用
陆振刚,姜玉秋..自正则部分和精确渐近性的一般结果[J].华东师范大学学报（自然科学版）,2013,(2):146-153,159,9.基金项目
国家外专局项目(L20102200012) （L20102200012）
