| 利用组合恒等式求数学期望与方差 |
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| 引用本文： | 魏瑛源.利用组合恒等式求数学期望与方差[J].河西学院学报,2012(2):37-40. |
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| 作者姓名： | 魏瑛源 |
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| 作者单位： | 河西学院数学与统计学院 |
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| 基金项目： | 2010年河西学院教学研究课题“概率论与数理统计教学研究” |
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| 摘 要： | 直接从随机变量的数学期望与方差的定义出发,运用组合恒等式,给出了超几何分布和负二项分布的数学期望与方差的求解过程.该方法简洁明了,容易理解和掌握.
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| 关 键 词： | 超几何分布 负二项分布 数学期望 方差 组合恒等式 |
Solving Mathematical Expectation and Variance through Combinatorial Identities |
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| Wei Ying-yuan.Solving Mathematical Expectation and Variance through Combinatorial Identities[J].Journal of Hexi University,2012(2):37-40. |
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| Authors: | Wei Ying-yuan |
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| Institution: | Wei Ying-yuan(Department of Mathematics,Hexi University,Zhangye,Gansu 734000) |
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| Abstract: | Directly from the definitions of mathematical expectation and variance of random variables,by using combinatorial identities,we give the solution to the mathematical expectation and variance of hyper-geometric distribution and negative binomial distribution.This method is concise,easy to understand and use. |
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| Keywords: | Hyper-geometric distribution Negative binomial distribution Mathematical expectation Variance Combinatorial identities |
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