| 基于指数分布的随机变量函数的独立性 |
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| 引用本文： | 项海飞.基于指数分布的随机变量函数的独立性[J].温州职业技术学院学报,2010,10(4):52-53. |
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| 作者姓名： | 项海飞 |
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| 作者单位： | 温州职业技术学院公共教学部,浙江温州325035 |
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| 摘 要： | 从指数分布的定义出发,根据连续型随机变量相互独立的充分必要条件,探讨一系列建立在服从指数分布的随机变量基础上的随机变量函数的独立性。结果表明,当母体服从指数分布时,子样次序统计量构成的随机变量函数相互独立,且这些随机变量所构成的线性函数与任一分式线性函数之间相对独立。
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| 关 键 词： | 指数分布 独立性 随机变量函数 |
Independence Theorem of Random Variable Function Based on Exponential Type Distribution |
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| XIANG Haifei.Independence Theorem of Random Variable Function Based on Exponential Type Distribution[J].Journal of Wenzhou Vocational & Technical College,2010,10(4):52-53. |
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| Authors: | XIANG Haifei |
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| Institution: | XIANG Haifei(Public Courses Department,Wenzhou Vocational ＆Technical College,Wenzhou,325035,China) |
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| Abstract: | This paper,starting from the definition of exponential type distribution,discusses the independence of random variable function on the basis of the random variable of exponential random variable in the light of the condition that the continuous random process is independent.The result shows that when the general population summits to the exponential type distribution,the random variables functions consisting of subsample distributions of order statistics are independent,and the linear function and any fractional linear function consisting of these random variables are independent. |
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| Keywords: | Exponential type distribution Independence Function of random variation |
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