| 非平衡异方差单向分类模型中的广义置信区间 |
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| 引用本文： | 许利可,范永辉.非平衡异方差单向分类模型中的广义置信区间[J].华中师范大学学报(自然科学版),2017,51(6):747-753. |
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| 作者姓名： | 许利可 范永辉 |
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| 作者单位： | 天津师范大学 数学科学学院， 天津 300387 |
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| 摘 要： | 讨论了在单向分类模型中多个正态总体样本容量不等， 方差不等时样本均值的同时广义置信区间的估计问题. 结合Scheffe 和Bonferroni 区间的定义， 给出了相应的广义检验变量及广义枢轴量， 进而求得样本均值的同时广义置信区间， 并且通过数据模拟， 和文献1]中给出的方法比较， 本文所给方法具有较好的可行性.
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| 关 键 词： | 广义枢轴量 广义置信区间 单向分类模型 |
| 收稿时间： | 2017-12-13 |
The generalized confidence regions in the one-way classification model of unbalanced heteroscedasticity |
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| XU Like,FAN Yonghui.The generalized confidence regions in the one-way classification model of unbalanced heteroscedasticity[J].Journal of Central China Normal University(Natural Sciences),2017,51(6):747-753. |
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| Authors: | XU Like FAN Yonghui |
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| Institution: | College of Mathematical Science， Tianjin Normal University， Tianjin 300387， China |
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| Abstract: | The paper discusses the simultaneous generalized confidence regions of means estimation of multiple normal populations which means and variances are all different. With the definition of Scheffe and Bonferroni intervals， the paper gives the relevant generalized test variable and generalized pivotal quantity and acquires the simultaneous generalized confidence regions of population means， and through the date simulation and compared with the methods given in literature1]，the method given in this paper is good feasible. |
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| Keywords: | generalized pivotal quantity generalized confidence regions one-way classification model |
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