A Class of Strong Limit Theorems and Moment Generating Function Method

• 作 者: Wen Hart LI Gao Rong LI Nan Bi
• 机 构: CollegeofMathematicsandPhysics,CollegeofAppliedSciences
• 出 处: 数学研究及应用：英文版
• 发表日期: 2012年1期
• 关键词: 强极限定理 母函数方法 随机变量序列 矩母函数 极限性质 绝对连续 随机边界 似然比 likelihood ratio strong limit theorem
• 基金项目: 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 F

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