| 超几何分布高阶矩的一种简便算法 |
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| 引用本文： | 李金秋.超几何分布高阶矩的一种简便算法[J].科学技术与工程,2010,10(32). |
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| 作者姓名： | 李金秋 |
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| 作者单位： | 辽宁石油化工大学理学院,抚顺,113001 |
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| 摘 要： | 超几何分布是概率论中一种重要的分布，考虑到直接用定义计算其高阶原点矩的复杂性，本文将组合数学中的第二类Stirling数应用到概率中，给出了利用第二类Stirling数求超几何分布m阶原点矩的计算公式,并用实例对此公式进行了验证。
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| 关 键 词： | 原点矩 超几何分布 第二类Stirling数 |
| 收稿时间： | 9/5/2010 2:27:33 PM |
| 修稿时间： | 9/19/2010 4:01:57 PM |
Simple Algorithm for the Hypergeometric Distribution Moments about the Origin of Higher-order |
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| LI Jin-qiu.Simple Algorithm for the Hypergeometric Distribution Moments about the Origin of Higher-order[J].Science Technology and Engineering,2010,10(32). |
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| Authors: | LI Jin-qiu |
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| Institution: | LI Jin-qiu,TIAN Qiu-ju(School of Science,Liaoning University of Petroleum & Chemical Technology,Fushun 113001,P.R.China) |
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| Abstract: | Hypergeometric distribution is an important distribution in probability. Considering the complexity on calculating its moments about the origin of higher-order with definition, stirling number of the second kind of combinatorics was applied to probability in this paper. And a formula in which stirling number of the second kind was used was given to solve this problem. Moreover, the formula was tested by an example. |
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| Keywords: | moment about the origin hypergeometric distribution stirling number of the second kind |
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