| Burr Type XII 分布的统计推断 |
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| 引用本文： | 王炳兴. Burr Type XII 分布的统计推断[J]. 数学物理学报(A辑), 2008, 28(6): 1103-1108 |
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| 作者姓名： | 王炳兴 |
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| 作者单位： | (浙江工商大学统计系 杭州 310035) |
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| 摘 要： | 该文讨论了两参数 Burr Type XII 分布基于逐次定数截尾样本的参数估计, 导出了有关参数的点估计和区间估计. 我们利用模拟方法对所给点估计和参数的最大似然估计作了比较, 模拟结果显示所给点估计优于常用的最大似然估计. 最后, 用一个实际例子说明本文所给方法.
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| 关 键 词： | Burr Type XII 分布 逐次定数截尾样本 点估计 区间估计 |
| 收稿时间： | 2006-11-10 |
| 修稿时间： | 2007-10-09 |
Statistical Inference for the Burr Type XII Distribution |
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| Wang Bingxing. Statistical Inference for the Burr Type XII Distribution[J]. Acta Mathematica Scientia, 2008, 28(6): 1103-1108 |
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| Authors: | Wang Bingxing |
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| Affiliation: | (Department of Statistics, Zhejiang Gongshang University, Hangzhou 310035) |
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| Abstract: | This paper obtains the new point estimate and interval estimate for the two-parameter Burr type XII distribution based on the progressively type II censored sample. Using Monte Carlo method, we compare the proposed estimators with the maximum likelihood estimators. The simulation results show that the proposed estimators outperform the maximum likelihood estimators. Finally, a numerical example is presented to illustrate the methods discussed in this paper. |
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| Keywords: | Burr type XII distributionzz Progressively type II censored samplezz Point estimationzz Confidence intervalzz |
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