| 泊松分布高阶原点矩的两种计算方法 |
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| 引用本文： | 于晶贤,李金秋.泊松分布高阶原点矩的两种计算方法[J].数学的实践与认识,2010,40(21). |
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| 作者姓名： | 于晶贤 李金秋 |
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| 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.
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| 关 键 词： | 泊松分布 高阶原点矩 第二类Stirling数 二项式定理 |
Two Computational Methods of Possion Distribution Higher-order Moments about the Origin |
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| YU Jing-xian,LI Jin-qiu.Two Computational Methods of Possion Distribution Higher-order Moments about the Origin[J].Mathematics in Practice and Theory,2010,40(21). |
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| Authors: | YU Jing-xian LI Jin-qiu |
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| Abstract: | 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. |
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| Keywords: | Possion distribution higher-order moments about the origin Stirling numbers of the second kind binomial theorem |
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