一类强极限定理与矩母函数方法

A CLASS OF STRONG LIMIT THEOREMS AND THE APPROACH OF MOMENT-GENERATING FUNCTION

本文利用似然比的概念，研究离散随机变量序列的极限性质，得到了一类用不等式表示的强极限定理．证明中结合区间剖分法，提出了将矩母函数的工具应用于强极限定理的研究的一种途径．

In virtue of the notion of likelihood ratio the limit properties of the sequences of discrete random variables are studied, and a class of limit theorem represented by inequalities are obtained. In the proof an approach of applying the tool of moment-generating function together with the method of splitting intervals to the study of the strong limit theorems is proposed.