| 二维连续型随机变量函数的概率密度 |
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| 引用本文： | 郭绍建.二维连续型随机变量函数的概率密度[J].北京航空航天大学学报,1990(2):72-80. |
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| 作者姓名： | 郭绍建 |
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| 作者单位： | 北京航空航天大学应用数理系 |
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| 摘 要： | 本文利用分布函数与概率密度之间的关系,以曲线积分为工具,导出随机变量Z=g(X,Y)的概率密度的一般公式。然后对概率统计中的一些重要分布给予比较简单的证明。
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| 关 键 词： | 随机变量 函数 概率密度 二维 |
PROBABILITY DENSITY OF THE FUNCTION OF TWO-DIMENSIONAL CONTINUOUS RANDOM VARIABLE |
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| Guo Shaojian.PROBABILITY DENSITY OF THE FUNCTION OF TWO-DIMENSIONAL CONTINUOUS RANDOM VARIABLE[J].Journal of Beijing University of Aeronautics and Astronautics,1990(2):72-80. |
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| Authors: | Guo Shaojian |
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| Institution: | Depanment of Maths and Physics |
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| Abstract: | The purpose of this paper is to derive the general formula for the probability density of the random variable Z which is equal to g(X,Y) by using the relation between distribution function and probability density and by means of the curvilinear integral.Then some important distributions in probability and statistics are proved briefly. |
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| Keywords: | two-dimensional continuous random variable function probability density distribution function curvilinear integral |
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