| 一类离散型随机变量高阶原点矩的递推计算方法 |
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| 引用本文： | 于晶贤.一类离散型随机变量高阶原点矩的递推计算方法[J].科学技术与工程,2010,10(15). |
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| 作者姓名： | 于晶贤 |
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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： | 考虑到直接用定义计算随机变量高阶原点矩的复杂性,将组合数学中两个重要的组合恒等式ni=n-1i-1+n-1i和ini=nn-1i-1应用到一类离散型随机变量高阶原点矩的计算中,给出了二项分布、负二项分布和超几何分布随机变量高阶原点矩的递推计算公式.
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| 关 键 词： | 高阶原点矩 超几何分布 二项分布 负二项分布 组合恒等式 |
| 收稿时间： | 2010/3/21 0:00:00 |
| 修稿时间： | 2010/3/21 0:00:00 |
Recursive Computation Method for Higher-order Moments about the Origin of a kind of Discrete Distribution |
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| yujingxian.Recursive Computation Method for Higher-order Moments about the Origin of a kind of Discrete Distribution[J].Science Technology and Engineering,2010,10(15). |
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| Authors: | yujingxian |
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| Abstract: | Considering the complexity on calculating the moments about the origin of higher-order of variable, and which are two important combinational identities, are applied to the computation of higher-order moments about the origin of a kind of discrete distribution. The recursive computation formulas of higher-order moment about the origin of binomial distribution, negative binomial distribution, hypergeometric distribution are given. |
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| Keywords: | higher-order moment about the origin hypergeometric distribution binomial distribution negative binomial distribution combinational identities |
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