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.
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页码：458 / 462
页数：5
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