| 正态总体均值与标准差比在序约束下的广义p值检验 |
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| 引用本文： | 李树有,史宁中,张宝学.正态总体均值与标准差比在序约束下的广义p值检验[J].应用概率统计,2009,25(1):77-85. |
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| 作者姓名： | 李树有 史宁中 张宝学 |
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| 作者单位： | 1. 辽宁工业大学数理系,锦州,121001
2. 东北师范大学数学与统计学院,长春,130024 |
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| 基金项目： | 国家自然科学基金，辽宁省教育厅资助项目 |
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| 摘 要： | 本文利用广义$p$\,-值和U-I检验法研究了多个正态总体均值与标准差比在简单半序和树序约束下的检验问题. 提出了广义检验变量, 得到了多个正态总体均值与标准差比在简单半序和树序约束下检验问题的广义$p$\,-值. 同时运用Monte Carlo方法给出了模拟结果.
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| 关 键 词： | 广义$p$\ 广义检验变量 U-I检验法 正态总体 半序约束. |
Testing Ratios of Means to Standard Deviations from Normal Populations under Order Restrictions with Generalized p Values |
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| LI Shuyou,SHI Ningzhong,ZHANG Baoxue.Testing Ratios of Means to Standard Deviations from Normal Populations under Order Restrictions with Generalized p Values[J].Chinese Journal of Applied Probability and Statisties,2009,25(1):77-85. |
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| Authors: | LI Shuyou SHI Ningzhong ZHANG Baoxue |
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| Institution: | Department of Mathematics and Physics, Liaoning University of Technology; Institute of Mathematics and Statistics, Northeast Normal University |
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| Abstract: | A procedure for testing ratios of means to standard deviations from normal populations under semi-order restriction and tree order restriction is developed. The testing is performed on the basis of the generalized $p$ value approach and U-I test and involves a one-dimensional numerical integration. The problem is always encountered in biology, medication, business investment, telecommunication, and so on. We propose the generalized test variable and obtain the generalized $p$ values of the testing problem. Finally, simulation results are given. |
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| Keywords: | Generalized $p$ value generalized test variable U-I test normal population semi-order restriction |
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