| 随机变量独立性的判定与运用 |
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| 引用本文： | 侯玉双,何莉敏,余亭. 随机变量独立性的判定与运用[J]. 包头钢铁学院学报, 2008, 27(3): 279-281 |
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| 作者姓名： | 侯玉双 何莉敏 余亭 |
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| 作者单位： | [1]内蒙古科技大学理学院,内蒙古包头014010 [2]中国海洋大学,山东青岛266003 |
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| 摘 要： | 主要研究了二维离散型随机变量和二维连续型随机变量的独立性问题.对于二维离散型随机变量,先从简单例子分析得到判定定理,然后从线性代数的角度予以考虑,分别用矩阵的初等变换和秩的相关概念对其进行了证明.对于二维连续型随机变量,介绍了一个比较直观的定理;同时,对其应用进行了举例说明.
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| 关 键 词： | 随机变量 独立性 秩 线性相关 联合概率密度 |
The judgment and application of the independence of random variables |
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| HOU Yu-shuang,HE li-min,YU Ting. The judgment and application of the independence of random variables[J]. Journal of Baotou University of Iron and Steel Technology, 2008, 27(3): 279-281 |
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| Authors: | HOU Yu-shuang HE li-min YU Ting |
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| Affiliation: | HOU Yu-shuang~1,HE li-min~1,YU Ting~2 (1.Mathematics , Physics School,Inner Mongolia University of Science , Technology,Baotou 014010,China,2.Ocean University of China,Qingdao 266003,China) |
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| Abstract: | The independence of random variable is the important concept of probability theory.This paper studies the independence of two common random variables:two-dimensional discrete random variables and two-dimensional continuous randow variables.For two-dimensional discrete random variables,the conclusion was firstly obtained by simple examples,then illustrated from the aspect of linear algebra,and later explained form the elementary transformation of Matrix and the relevant concepts of Rank.For two-dimensional c... |
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| Keywords: | random variables independence rank linear correlation joint probability density |
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