Strong Law of Large Numbers for a Class of Dependent Random Variables

被引：0

作者：

Dong, Yan ^{[1
]}

Yang, Weiguo ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

来源：

PROCEEDING OF THE 10TH INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES | 2009年

关键词：

dependent random variables; strong law of large numbers; Jensen inequality; SEQUENCES; MOMENT;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Let p >= 2. For a sequence of dependent p- integrable random variables, a sequence of positive real numbers {a(n),n >= 1} and a sequence of positive constants {b(n), >= 1}, conditions are provided under which the series Sigma(n)(i-1)(X-i - EXi)/h(i) converges almost surely as n ->infinity and {X-n, n >= 1} obeys the strong law of large numbers lim(n ->infinity)Sigma(n)(t=1) (X-i - EXi)/b(n) = 0 almost surely.

引用

页码：458 / 462

页数：5

共 11 条

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