摘要
在本文中,首先我们得到了负相关(ND)随机变量序列的指数不等式和矩不等式,然后运用这些不等式讨论了ND序列的对数律.结果,我们将独立情形下的对数律推广到ND序列情形下依然成立.
In this paper, first we obtain exponential inequality and moment inequality for negatively dependent random sequences. Then we apply these inequalities to discuss logarithm theorems for negatively dependent random sequences. As a result, we extend the logarithm theorems to the case of negatively dependent random sequences.
出处
《应用数学》
CSCD
北大核心
2009年第2期248-254,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(10661006)
the Support Program of New Century Guangxi Ten-hundred-thousand Talents Project(2005214)
the Guangxi Science Foundation(0728212)
关键词
负相关(ND)随机变量序列
对数律
指数不等式
矩不等式
Negatively dependent random sequence
Logarithm theorem
Exponential inequality
Moment inequality
