| 取定检验统计量的最佳双边检验 |
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| 引用本文： | 刘瑞香,杨录胜. 取定检验统计量的最佳双边检验[J]. 首都师范大学学报(自然科学版), 2014, 0(6): 6-8 |
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| 作者姓名： | 刘瑞香 杨录胜 |
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| 作者单位： | 山西农业大学文理学院; |
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| 基金项目： | 山西农业大学科技创新基金(201210)资助项目 |
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| 摘 要： | 研究了未知参数进行假设检验时构造的检验统计量.在不同检验统计量的情况下证明了最佳双边检验是存在且唯一的,同时给出了求参数最佳双边检验需满足的条件;并且将最佳双边检验与传统检验进行了比较,最后给出了一个应用实例.
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| 关 键 词： | 单峰函数 单峰分布 双边检验 检验统计量 第二类错误 |
The Best Two-sided Test about Fixed Test Satistics |
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| Liu Ruixiang Yang Lusheng. The Best Two-sided Test about Fixed Test Satistics[J]. Journal of Capital Normal University(Natural Science Edition), 2014, 0(6): 6-8 |
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| Authors: | Liu Ruixiang Yang Lusheng |
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| Affiliation: | Liu Ruixiang Yang Lusheng (College of Arts and Science , Shanxi Agricultural University , Taigu Shanxi 030801 ) |
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| Abstract: | In this paper , the test statistic structured is researched for two-sided test of the unknown parameters. The existence and uniqueness of the best two-sided test are proved according to the different test statistics. At the same time, the necessary conditions are derived. Then the best two-sided test compares with the conventional one. Finally, an application example is given. |
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| Keywords: | unimodal function unimodal distribution two-sided test test statistic type II error. |
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