| Weibull分布和指数分布以及均匀分布的关系研究 |
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| 引用本文： | 吕佳,高慧,华思蕊.Weibull分布和指数分布以及均匀分布的关系研究[J].甘肃科学学报,2017,29(3). |
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| 作者姓名： | 吕佳 高慧 华思蕊 |
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| 作者单位： | 延安大学 数学与计算机科学学院,陕西 延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研计划项目，2016 国家级大学生创新创业训练计划项目 |
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| 摘 要： | 利用求随机变量函数分布的方法,证明了与Weibull分布相关的三条定理,通过定理的形式得出了Weibull变量和指数分布、均匀分布变量之间的转换关系,也得出了服从Rayleigh分布的随机变量和指数分布、均匀分布变量之间的转换关系,所得结论有利于通过指数分布和均匀分布来研究、分析Weibull分布。
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| 关 键 词： | 分布 指数分布 均匀分布 分布 |
Study on the Relationship between Weibull Distribution and Exponential Distribution and Uniform Distribution |
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| Lyu Jia,Gao Hui,Hua Sirui.Study on the Relationship between Weibull Distribution and Exponential Distribution and Uniform Distribution[J].Journal of Gansu Sciences,2017,29(3). |
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| Authors: | Lyu Jia Gao Hui Hua Sirui |
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| Abstract: | By using the method of finding the distribution of random variable function,three theorems re-lated to Weibull distribution were proved,the transformation relation between Weibull variable and expo-nential distribution and uniform distribution was obtained by the form of theorem,the conversion relation between the random variable and the exponential distribution and the uniform distribution obeying Ray-leigh distribution was also obtained.The conclusion was helpful to study and analyze the Weibull distribu-tion by means of exponential distribution and uniform distribution. |
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| Keywords: | Weibull distribution Exponential distribution Uniform distribution Rayleigh distribution |
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