| 浅析二项分布、泊松分布和正态分布之间的关系 |
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| 引用本文： | 于洋.浅析二项分布、泊松分布和正态分布之间的关系[J].企业科技与发展,2008(10):108-110. |
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| 作者姓名： | 于洋 |
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| 作者单位： | 东北财经大学数学与数量经济学院,辽宁大连116025 |
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| 摘 要： | 二项分布、泊松分布和正态分布一直是学习和研究概率统计的基础。在一定条件下，这三个分布之间存在着密切关系。文章通过求极限分布，研究了二项分布与泊松分布、二项分布与正态分布之间的关系，并利用特征函数和分布函数相互唯一确定这一性质，分析了泊松分布和正态分布之间的关系。
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| 关 键 词： | 二项分布 泊松分布 正态分布 特征函数 |
A Discussion of the Relations Among Binomial Distribution,Poisson Distribution and Normal Distribution |
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| Authors: | YU Yang |
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| Institution: | YU Yang (School of Mathematics and Quantitative Economies, Dongbei University of Finance and Economies, Dalian Liaoning 11602.5) |
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| Abstract: | The binomial distribution, Poisson distribution and normal distribution have been the foundation of learning and research on probability statistics. Under the certain condition, there are close relations between these three distributions. This paper studies the relations between binomial distribution and Poisson distribution, binomial distribution and normal distribution through finding limit distribution of them. By means of the interrelation between distribution function and characteristic function, the paper analyses the relation between Poisson distribution and Normal distribution. |
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| Keywords: | Binomial Distribution Possion Distribution Normal Distribution Characteristic Function |
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