| 瑞利分布全样本下的统计分析 |
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| 引用本文： | 井维兰.瑞利分布全样本下的统计分析[J].科学技术与工程,2011,11(11):2551-2553. |
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| 作者姓名： | 井维兰 |
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| 作者单位： | 1. 上海师范大学数理学院,上海,200234
2. 上海对外贸易学院商务信息学院,上海,201620 |
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| 基金项目： | 2009年上海市教委《概率论与数理统计》重点课程建设资助 |
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| 摘 要： | 针对瑞利分布,在全样本场合下给出了参数的矩估计、极大似然估计和区间估计。与此同时还通过大量Monte-Carlo模拟分别考察了参数的点估计和区间估计的精度,从中可以看到参数的极大似然估计的精度比矩估计的好些。
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| 关 键 词： | 瑞利分布 全样本 矩估计 极大似然估计 区间估计 |
| 收稿时间： | 1/5/2011 3:38:13 PM |
| 修稿时间： | 1/8/2011 9:32:40 PM |
The Statistical Analysis of Rayleigh Distribution under the Full Sample |
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| jingweilan.The Statistical Analysis of Rayleigh Distribution under the Full Sample[J].Science Technology and Engineering,2011,11(11):2551-2553. |
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| Authors: | jingweilan |
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| Institution: | JING Wei-lan1,WANG Rong-hua1,XU Xiao-ling2(College of Mathematics and Science,Shanghai Normal University,Shanghai 200234,P.R.China,Business Information Management College,Shanghai Institute of Foreign Trade2,Shanghai 201620,P.R.China) |
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| Abstract: | For the Rayleigh distribution, the moment estimate; the maximum likelihood estimate and the interval estimate of the parameter are given based on the full sample. At the same time, the precisions of both point estimates and the interval estimate are investigated by a large number of Monte-Carlo simulations, respectively. From the result, we can see the precisions of the maximum likelihood estimate for the parameter is better than that of the moment estimate. |
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| Keywords: | Rayleigh distribution the full sample the moment estimate the maximum likelihood estimate the interval estimate |
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