%0 Journal Article
%T Precise Asymptotics of Strictly Stationary \rho-Mixing Sequences<br>强平稳\rho-混合序列的精确渐近性
%A ZHAO Yuexu
%A MA Zhihao
%A SUN Weiliang
%A <br>赵月旭
%J 系统科学与数学
%D 2008
%I 
%X The precise asymptotics for partial sums S_{n}=X_{1}+X_{2}+\cdots+X_{n}of strictly stationary \rho-mixing sequences are investigated, and the limit properties and the convergence rate of series \sum\limits_{n=1}^{\infty}\varphi(n)P(|S_{n}|\geq \varepsilon H(n)) as \varepsilon\searrow 0 are given, and hence the relations between functions \varphi(n) and H(n) are revealed.
%K \rho-mixing
%K partial sums
%K mixing rate
%K precise asymptotics<br>\rho-混合
%K 部分和
%K 混合速度
%K 精确渐近性.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=F9CACFD7C3F812D434D6915B6AB49B38&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=DF92D298D3FF1E6E&sid=F7C11D7E3E8C5D3F&eid=AB1DE136C335A86C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0