泊松分布高阶原点矩的两种计算方法  

Two Computational Methods of Possion Distribution Higher-order Moments about the Origin

作　　者：于晶贤[1] 李金秋[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《数学的实践与认识》2010年第21期221-224,共4页Mathematics in Practice and Theory

摘　　要：考虑到直接用定义计算泊松分布高阶原点矩的复杂性,将组合数学中的第二类Stirling数和二项式定理应用到泊松分布高阶原点矩的计算中,得到了泊松分布高阶原点矩的简单和式与递推表达式,并利用结论计算了泊松分布的前九阶原点矩.Considering the complexity on calculating Possion distribution higher-order moments about the origin with definition,Stirling numbers of the second kind and binomial theorem in combinatorics were brought into the calculation of Possion distribution higher-order moments about the origin.We got a simple sum formula and a recursion formula of Possion distribution higher-order moments about the origin.With the conclusion we got,we calculated Possion distribution higher-order moments about the origin from 1st to 9th.

关 键 词：泊松分布 高阶原点矩 第二类STIRLING数 二项式定理 

分 类 号：O211.3[理学—概率论与数理统计]