Abstract: 　Conside ring the complexity on calculating the binomial distributio n moments on the origin o f hig her -o rder with definition , Stirling number o f the second kind o f combina to rics w as applied to pro bability .And a method in which Stir ling numbe r of the second kind w as used w as given to so lve this pro blem :EXm = Σm l =0 S(m , l)[ n] l p l .M oreo ver , the method w as tested by an example .

Key words: Moment on the origin, Binomial distribution, Stirling number

摘要： 考虑到直接用定义计算二项分布高阶原点矩的复杂性, 将组合数学中的第二类Stir ling 数应用到概率中, 给出了利用第二类S tirling 数求二项分布m 阶原点矩的方法:EX m = Σm l =0 S(m , l)[ n] l p l , 并用实例对此方法进行了验证。

关键词: 原点矩, 二项分布, 第二类Stirling数