整值随机变量序列的一类强律

A Class of Strong Laws for The Sequence of Integer-Valued Random Variables

本文引进似然比作为整值随机变量序列相对于服从Poisson分布的独立随机变量序列的偏差的一种度量，并通过限制似然比给出了样水空间的某种子集．在这种子集上得到了一类用不等式表示的强律，独立随机变量序列的一类强律是其特例．

In this paper,the notion of liklihood ration,as a measure of the fifference between a sequence of integer-valued random variables and a independent random sequence with poissom distribution,is introduced,and a class of strong laws,presented by inequlaities,considered on certain sets dertermined by this notion,are obtained.A class of strong laws for the sequences of inependent poisson random variables are special cases of thois paper.