连续型随机变量的一类强律与Laplace变换方法  

A Class of Strong Law for the Sequences for Continuous Random Variable and the Approach of Laplace Transform

作　　者：李高荣[1] 陈爽[2] 薛留根[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022 [2]河北工业大学理学院,天津300130

出　　处：《北京工业大学学报》2007年第7期751-756,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金(10571008);北京市自然科学基金(1072004);河南省基础与前沿技术研究计划资助项目(072300410090).

摘　　要：研究了相依连续型非负随机变量序列的极限性质,利用似然比的概念和Laplace变换方法得到了一类强偏差定理,即用不等式表示的一类强极限定理．In this paper, the limit properties of the sequences of dependent, nonnegative, and continuous random variables are studied. By making use of the notion of likelihood ratio and the approach of Laplace transform, a class of strong limit theorems represented by inequalities which call the strong deviation theorems are obtained.

关 键 词：强偏差定理 似然比 强极限定理 LAPLACE变换 

分 类 号：O211.4[理学—概率论与数理统计]