| 关于均匀分布统计分析的一些思考 |
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| 引用本文： | 顾蓓青,王蓉华,朱杰,徐晓岭. 关于均匀分布统计分析的一些思考[J]. 统计与信息论坛, 2010, 25(12): 20-25 |
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| 作者姓名： | 顾蓓青 王蓉华 朱杰 徐晓岭 |
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| 作者单位： | [1]上海对外贸易学院商务信息学院,上海201620 [2]上海师范大学数理学院,上海200234 |
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| 基金项目： | 上海高校选拔培养优秀青年教师科研专项基金，上海对外贸易学院统计专业建设2010年项目，上海师范大学校科研项目，2009年上海市教委，上海师范大学第五期重点学科 |
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| 摘 要： | 对于均匀分布给出了在全样本场合下参数的区间估计,在定数截尾场合下参数的点估计和区间估计,并通过大量Monte-Carlo模拟从均方差的角度比较各种点估计的优劣,考察各种区间估计方法的精度,通过实例说明这些点估计和区间估计方法的应用。
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| 关 键 词： | 均匀分布 全样本 定数截尾 点估计 区间估计 |
Some Explorations on the Statistical Analysis of Uniform Distribution |
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| GU Bei-qing,WANG Rong-hua,ZHU Jie,XU Xiao-ling. Some Explorations on the Statistical Analysis of Uniform Distribution[J]. Statistics & Information Tribune, 2010, 25(12): 20-25 |
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| Authors: | GU Bei-qing WANG Rong-hua ZHU Jie XU Xiao-ling |
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| Affiliation: | 1.School of Business Information Management,Shanghai Institute of Foreign Trade,Shanghai 201620,China;2.School of Mathematics and Science,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | For uniform distribution,the interval estimators of parameter are proposed under the full sample and the point estimators and interval estimators is also given under the type-II censored sample.Besides,a large number of Monte-Carlo simulations are calculated to compare each point estimator in terms of the mean square error and to investigate the precision of each interval estimator.At last,some examples are illustrated to show the application of these methods of point estimators and interval estimators. |
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| Keywords: | uniform distribution full sample type-II censored point estimator interval estimator |
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