| 关于二参数Weibull分布变异系数的一个定理证明 |
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| 引用本文： | 王峰. 关于二参数Weibull分布变异系数的一个定理证明[J]. 南通工学院学报(社会科学版), 2000, 16(4): 12-14 |
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| 作者姓名： | 王峰 |
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| 作者单位： | 彭城职业大学!江苏徐州221008 |
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| 摘 要： | 利用导数、级数的有关定理及Ｇａｍｍａ函数的性质证明了Ｗｅｉｂｕｌｌ分布变异系数是其形状参数的单值、单调、连续的函数。在此基础上可以进一步讨论变异系数的有关统计推断问题。
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| 关 键 词： | 变异系数 形状参数 Weibull分布 单调连续函数 |
Theorem Proving of the Coefficient ofVariation of Weibull Distribution |
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| WANG Feng. Theorem Proving of the Coefficient ofVariation of Weibull Distribution[J]. Journal Of Nantong University(Education Sciences Edition), 2000, 16(4): 12-14 |
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| Authors: | WANG Feng |
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| Abstract: | By means of the theorems concerning derivatives and series and the nature of the function Gamma, the paper proves that the coefficient of variation of Weibull distribution is a monotropic, monotonic and continuous function of its own shape parameter. On this basis, the paper continues to discuss the statistical inference of the coefficient of variation. |
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| Keywords: | coefficient of variation shape parameter monotropic monotonic and continuous |
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