关键词: 响应分布;鞍点近似;置信区间;极大似然估计

Abstract:

For the pth 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.

Key words: Response distribution； Saddlepoint approximation； Confidence intervals； Maximum likelihood estimator.