On the rate of complete convergence for weighted sums of arrays of random elements

被引：0

作者：

Sung, Soo Hak ^{[1
]}

Volodin, Andrei I.

机构：

[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea

[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2006年 / 43卷 / 04期

关键词：

arrays of random elements; rowwise independence; weighted sums; complete convergence; rate of convergence; convergence in probability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {V-nk, k >= 1, n >= 1} be an array of rowwise independent random elements which are stochastically dominated by a random variable X with E|X| (gamma)/(alpha+0) log(rho)(|X|) < infinity for some rho > 0,alpha > 0,gamma > 0, > 0 such that theta+alpha/gamma < 2. Let {ank, k >= 1,n >= 1} be an array of suitable constants. A complete convergence result is obtained for the weighted sums of the form Sigma(infinity)(k=1) a(nk)V(nk).

引用

页码：815 / 828

页数：14

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