A Class of Strong Limit Theorems and Moment Generating Function Method

作     者：Wen Han LI 1,Gao Rong LI 2,,Nan Bin CAO 1 1.College of Mathematics and Physics,Shijiazhuang University of Economics,Hebei 050031,P.R.China 2.College of Applied Sciences,Beijing University of Technology,Beijing 100124,P.R.China 

作者机构：College of Mathematics and PhysicsShijiazhuang University of Economics Hebei 050031 College of Applied SciencesBeijing University of Technology Beijing 100124 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2012年第32卷第1期

页      面：76-82页

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by the National Nature Science Foundation of China (Grant No. 11101014) the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20101103120016) the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (Grant No. PHR20110822) Training Programme Foundation for the Beijing Municipal Excellent Talents (Grant No. 2010D005015000002) the Fundamental Research Foundation of Beijing University of Technology (Grant No. X4006013201101) Education Department Science Project of Hebei Province (Grant No. Z2010297) Science Project of Shijiazhuang University of Economics (Grant No. XN0912) 

主　　题：likelihood ratio strong limit theorem moment generating function. 

摘      要：In virtue of the notion of likelihood ratio and moment generating function,the limit properties of the sequences of absolutely continuous random variables are studied,and a class of strong limit theorems represented by inequalities with random bounds are obtained.