| Logistic响应分布分位数的鞍点近似置信区间 |
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| 引用本文： | 田玉斌,张英,李国英.Logistic响应分布分位数的鞍点近似置信区间[J].数学物理学报(A辑),2005,25(1):110-118. |
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| 作者姓名： | 田玉斌 张英 李国英 |
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| 作者单位： | [1]北京理工大学理学院数学系，北京100081 [2]中国科学院数学与系统科学研究院，北京100080 |
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| 基金项目： | 国家自然科学基金(10371126)资助 |
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| 摘 要： | 论文基于响应数据，应用鞍点近似方法，给出构造Logistic响应分布分位数的近似置信区间的方法. 论文还对这种置信区间进行了模拟，并将该方法应用于QD8电雷管. 模拟和实例结果表明，当样本量较小时，该方法能够较好地推断Logistic响应分布的分位数
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| 关 键 词： | 响应分布 鞍点近似 置信区间 极大似然估计 |
| 文章编号： | 1003-3998(2005)01-110-09 |
| 修稿时间： | 2002年12月23 |
Saddlepoint Approximate Confidence Intervals for the pth Quantile of Logistic Response Distribution |
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| TIAN Yu-Bin,ZHANG Yang,LI Guo-Yang.Saddlepoint Approximate Confidence Intervals for the pth Quantile of Logistic Response Distribution[J].Acta Mathematica Scientia,2005,25(1):110-118. |
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| Authors: | TIAN Yu-Bin ZHANG Yang LI Guo-Yang |
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| Abstract: | For the p-th quantile of Logistic response distribution, by using the saddlepoint approach, the method to construct the approximate confidence intervals is presented based on response data. A simulation for calculating these confidence intervals is conducted. The proposed approximation is also applied to a real data set of QD-8 electric detonators. Results obtained from the simulation and application show that the method provides more precise inference for the p-th quantile of Logistic response distribution with small sample sizes. |
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| Keywords: | Response distribution Saddlepoint approximation Confidence intervals Maximum likelihood estimator |
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