| 几种反常积分的应用 |
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| 引用本文： | 朱烈浪,胡建根.几种反常积分的应用[J].江西科学,2014,32(4):501-502. |
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| 作者姓名： | 朱烈浪 胡建根 |
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| 作者单位： | 江西农业大学理学院,330045,南昌 |
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| 摘 要： | 给出3种形式无穷限反常积分在概率统计中的应用。以反常积分Γ(α)=∫∞0xα-1e-xdx,(α0)及Φ(x)=∫x-∞1/2π(1/2)e-t22 dt为例,介绍它们在概率论与数理统计及高等数学学习中的应用,利用反常积分来判断无穷级数的敛散性,计算某些定积分及验证正态分布的结论。可以看出反常积分不只是一个数学概念,其实也是一种数学方法。
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| 关 键 词： | 反常积分 无穷级数 中心极限定理 |
Several Applications of Improper Integral |
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| ZHU Lielang,HU Jiangen.Several Applications of Improper Integral[J].Jiangxi Science,2014,32(4):501-502. |
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| Authors: | ZHU Lielang HU Jiangen |
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| Institution: | ( Institute of Science, Jiangxi University of Agricultural, 330045, Nanchang, PRC) |
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| Abstract: | In this article, we give three types of applications of infinite limit improper integral in probability and statistics. For Г （a） and φ （x） example, we introduce applications of improper integral in probability and mathematical statistics, we use improper integral to judge the divergence of infinite series;to calculate some definite It can be seen that improper integral is of mathematical method. integral and to verify some conclusions in normal distribution. not only a mathematical concept, but it actually is also a kind |
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| Keywords: | improper integral infinite series central limit theorem |
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