一类随机偏差定理与母函数方法

A Class of Random Deviation Theorems and the Approach of Generating Function

  • 摘要: 本文利用对数似然比的概念研究非负整数值随机变量序列的极限性质,得到一类随机偏差定理,即用不等式表示的一类强极限定理,其偏差界依赖于样本点.证明中提出了将母函数的工具应用于强极限定理研究的一种途径。

     

    Abstract: In virtue of the notion of log likelilood ratio the limit properties of the sequences of dependent nonnegative integer-valued random variables are studied, and a class of strong linit theorems represented by inequalities with random bounds which we call the random deviation theorem are obtained. In tile proof an approach of applying the tool of generating function to tile study of strong limit theorem is proposed.

     

/

返回文章
返回