| 截尾情形下Weibull分布的最大似然估计 |
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| 引用本文： | 刘晓舟,李再兴.截尾情形下Weibull分布的最大似然估计[J].数学理论与应用,2014(1):125-128. |
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| 作者姓名： | 刘晓舟 李再兴 |
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| 作者单位： | 中国矿业大学（北京）理学院,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目（11001267）;中央高校基本科研业务费资助项目（2009QS02）;北京高等学校青年英才计划项目（BeijinghigherEducationYoungElite TeacherProject） |
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| 摘 要： | 本文利用似然函数的单调性,分别给出了定时截尾和定数截尾情形下Weibull分布中参数最大似然估计(MLE)的数值解法.数据模拟研究表明,所给出的解法效果良好.
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| 关 键 词： | Weibull分布 最大似然估计 定时截尾 定数截尾 |
Maximum Likelihood Estimates of the Weibull Distribution Under Censoring Samples |
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| Liu Xiaozhou Li Zaixing.Maximum Likelihood Estimates of the Weibull Distribution Under Censoring Samples[J].Mathematical Theory and Applications,2014(1):125-128. |
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| Authors: | Liu Xiaozhou Li Zaixing |
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| Institution: | Liu Xiaozhou Li Zaixing (School of Science, China University of Mining and Technology, Beijing 100083, China) |
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| Abstract: | In this article, based on the monotonicity of the likelihood function of the Weibull distribution, the numer- ical procedures are proposed to obtain maximal likelihood estimates of the Weibull distribution under type - I censo- ring and Type - II censoring samples respectively. The Simulation indicates that our procedures perform well. |
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| Keywords: | Weibull distribution Maximum Likelihood estimate Type- I censoring Type- II censoring |
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