| 伽玛分布参数的最短区间估计与最佳双边检验 |
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| 引用本文： | 刘瑞香,何小娟.伽玛分布参数的最短区间估计与最佳双边检验[J].太原重型机械学院学报,2011(5):413-415. |
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| 作者姓名： | 刘瑞香 何小娟 |
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| 作者单位： | [1]山西农业大学文理学院,山西太谷030801 [2]太原科技大学应用科学学院,太原030024 |
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| 摘 要： | 证明了伽玛分布参数的最短区间估计与最佳双边检验是存在且唯一的,同时给出了最短区间估计与最佳双边检验需满足的条件;并与传统的区间估计和双边检验进行了比较,得出在小样本情况下讨论参数的最短区间估计和最佳双边检验是必要的。
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| 关 键 词： | 伽玛分布 区间估计 双边检验 检验统计量 第二类错误 |
The Shortest Interval Estimation and The Optimal Two-sided Test of Parameter of Gamma Distribution |
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| LIU Rui-xiang,HE Xiao-juan.The Shortest Interval Estimation and The Optimal Two-sided Test of Parameter of Gamma Distribution[J].Journal of Taiyuan Heavy Machinery Institute,2011(5):413-415. |
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| Authors: | LIU Rui-xiang HE Xiao-juan |
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| Affiliation: | 1.College of Arts and Science,Shanxi Agricultural University,Shanxi Taigu 030801,China;2.Institute of Application Science,Taiyuan University of Science and Technology,Taiyuan 030024,China) |
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| Abstract: | Based on the interval estimation and the two-sided hypothesis of parameter of Gamma distribution,the existence and uniqueness of the shortest interval estimation and the optimal two-sided test are proved.At the same time,the necessary conditions are derived.Then the shortest interval estimation and the best two-sided test are compared with the conventional ones.So,it is necessary to research the shortest interval estimation and the optimal two-sided test of parameters for small samples. |
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| Keywords: | Gamma distribution interval estimation two-sided test test statistic type II error |
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