摘要
利用指数型分布类研究相依连续型非负随机变量序列的极限性质,得到一类强偏差定理,即用不等式表示的一类强极限定理.证明中提出了将似然比和Laplace变换应用于强极限定理研究的一种方法.
In virtue of the exponential distribution, the limit properties of the sequences of dependent nonnegative continuous variables are studied, and a class of strong limit theorems represented by inequalities with random bounds which call the random deviation theorem are obtained. In the proof, the notion of likelihood ratio and an approach of applying the tool of Laplace transform to the study of strong limit theorem is proposed.
出处
《河北工业大学学报》
CAS
2005年第4期90-93,共4页
Journal of Hebei University of Technology
关键词
强偏差定理
指数分布
强极限定理
似然比
LAPLACE变换
exponential distribution
likelihood ratio
strong deviation theorem
strong limit theorem
Laplace transform
