| 非1-1对应时连续型随机变量函数的概率密度 |
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| 引用本文： | 刘小云. 非1-1对应时连续型随机变量函数的概率密度[J]. 西安科技大学学报, 2008, 28(3) |
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| 作者姓名： | 刘小云 |
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| 作者单位： | 长安大学,理学院,陕西,西安,710064 |
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| 摘 要： | 现有的求解连续型随机变量函数的概率密度公式,要求随机自变量X的取值域(或经划分后各子域)与在变换y=g(x)下的值域1-1对应。这个条件是苛刻的,许多变换函数都不满足。文中推出了取消这个条件后,连续型随机变量函数的概率密度求解公式,并进行了应用举例,使得更多的连续型随机变量函数的概率密度得以求解。
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| 关 键 词： | 连续型随机变量 随机变量的函数 1-1对应 分布函数 概率密度函数 |
Probability density of function of continuous random variable under non one to one correspondence |
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| LIU Xiao-yun. Probability density of function of continuous random variable under non one to one correspondence[J]. JOurnal of XI’an University of Science and Technology, 2008, 28(3) |
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| Authors: | LIU Xiao-yun |
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| Abstract: | To the probability density function(PDF) of the function of continuous random variable,it is required that the range of a random independent variable X with the transfer function y=g(x) has a one to one correspondence.This condition is harsh,and it can not be contented by many transfer functions.In this paper,the formula of the PDF of the function of continuous random variable is developed,in which the above condition is canceled.By this way,more PDF of the functions of continuous random variables can be solved. |
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| Keywords: | continuous random variable random variable function one to one correspondence distribution function probability density function |
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