摘要
利用随机序列的似然比与相对熵概念作为刻画任意相依随机序列独立逼近的随机性度量,借助B-C引理与纯分析的方法,给出了用不等式形式表示的关于任意离散随机序列无规则性的强极限定理。
The likelihood ratio and relative entropy, as the random measure, are employed for depicting the dependence random sequence with respect to independence case, and by means of B-C lemma and pure analysis method,the strong limit theorems for the irregularity of arbitrary random sequence represented with inequality forms are obtained.
出处
《安徽工业大学学报(自然科学版)》
CAS
2013年第2期182-186,共5页
Journal of Anhui University of Technology(Natural Science)
基金
国家自然科学基金项目(11071104)
关键词
无规则性
似然比
相对熵
强极限定理
irregularity
likelihood ratio
relative entropy
strong limit theorem