| 连续型随机变量的一类强律与Laplace变换方法 |
| |
| 引用本文： | 李高荣, 陈爽, 薛留根. 连续型随机变量的一类强律与Laplace变换方法[J]. 北京工业大学学报, 2007, 33(7): 751-756. |
| |
| 作者姓名： | 李高荣 陈爽 薛留根 |
| |
| 作者单位： | 北京工业大学,应用数理学院,北京,100022;河北工业大学,理学院,天津,300130 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 强偏差定理 似然比 强极限定理 Laplace变换 |
| 文章编号： | 0254-0037（2007）07-0751-06 |
| 收稿时间： | 2006-03-21 |
| 修稿时间： | 2006-03-21 |
A Class of Strong Law for the Sequences for Continuous Random Variable and the Approach of Laplace Transform |
| |
| LI Gao-rong, CHEN Shuang, XUE Liu-gen. A Class of Strong Law for the Sequences for Continuous Random Variable and the Approach of Laplace Transform[J]. Journal of Beijing University of Technology, 2007, 33(7): 751-756. |
| |
| Authors: | LI Gao-rong CHEN Shuang XUE Liu-gen |
| |
| Affiliation: | 1.College of Applied Sciences;Beijing University of Technology;Beijing 100022;China;2.School of Sciences;Hebei University of Technology;Tianjin 300130;China |
| |
| Abstract: | In this paper,the limit properties of the sequences of dependent,nonnegative,and continuous ran- dom variables are studied.By making use of the notion of likelihood ratio and the approach of Laplace trans- form,a class of strong limit theorems represented by inequalities which call the strong deviation theorems are obtained. |
| |
| Keywords: | strong deviation theorem likelihood ratio strong limit theorem laplace transform |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京工业大学学报》浏览原始摘要信息 |
|
点击此处可从《北京工业大学学报》下载全文 |
