中文摘要：

给出了Poisson分布正态近似定理的一个初等证明;利用Lévy距离刻画了正态分布逼近Poisson分布的整体性能;运用R软件编程,数值计算结果表明了该近似的有效性.

英文摘要：

In this paper,the elementary proof for normal approximation theory of Poisson distribution is given.And then,the holistic normal approximation level of distribution function sequences is characterized through Lévy distance.Finally,the efficiency of normal approximation theory is showed by numerical calculation.