| De Moivre—Laplace定理求解结果差异的分析 |
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| 引用本文： | 庄刘,曾艳.De Moivre—Laplace定理求解结果差异的分析[J].实验科学与技术,2010,8(2):43-44,106. |
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| 作者姓名： | 庄刘 曾艳 |
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| 作者单位： | 中国民航飞行学院计算机学院,四川,广汉,618307 |
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| 基金项目： | 国家自然科学基金，中国民航飞行学院科研基金 |
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| 摘 要： | De Moivre—Laplace定理作为独立同分布中心极限定理的一种特殊情形，为近似计算二项分布的概率提供了一种简捷的方法。文中主要对应用De Moivre—Laplace定理解题时容易产生不同结果的原因作了细致的分析，有助于帮助学生进一步理解中心极限定理的本质含义，同时对教学与教材的编写有一定的启示作用。
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| 关 键 词： | De Moivre—Laplace定理 二项分布 正态分布 |
Analysis of the Difference of Solutions Derived from De Moivre-Laplace Theorem |
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| ZHUANG Liu,ZENG Yan.Analysis of the Difference of Solutions Derived from De Moivre-Laplace Theorem[J].Experiment Science & Technology,2010,8(2):43-44,106. |
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| Authors: | ZHUANG Liu ZENG Yan |
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| Affiliation: | ZHUANG Liu,ZENG Yan(College of Computer Science,Civil Aviation Flight University of China,Guanghan 618307,China) |
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| Abstract: | As a special type of the central limit theorem with independent and identical distribution,De Moivre-Laplace theorem provides a convenient way to approximately calculate the probability of binomial distribution.This paper conducts an in-depth analysis of the reasons why there might be different solutions for the same question when De Moivre-Laplace theorem is applied.It is conductive to helping students to futher understand the essence of central limit theorem,and may also enlighten the teaching work and th... |
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| Keywords: | De Moivre-Laplace theorem binomial distribution normal distribution |
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