A General Law of Precise Asymptotics for Products of Sums under Dependence

被引：0
|
作者：
Yong ZHANG Xiao Yun YANG Zhi Shan DONG College of Mathematics
机构：
来源：
Acta Mathematica Sinica(English Series) | 2010年 / 26卷 / 01期
基金：
中国国家自然科学基金;
关键词：
general law; precise asymptotics; products of sums; NA (PA); LNQD (LPQD);
D O I：
暂无
中图分类号：
O211.5 [随机变量];
学科分类号：
摘要：
Let {X, n≥1} be a strictly stationary LNQD (LPQD) sequence of positive random variables with EX=μ>0, and VarX= σ~2 < ∞. Denote by S= ∑~n Xand γ = σ/μ the coefficients of variation. In this paper, under some suitable conditions, we show that a general law of precise asymptotics for products of sums holds. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in the study of complete convergence.
引用
收藏
页码：107 / 116
页数：10
相关论文
共 50 条
12345