Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (1): 110-118.

• Articles • Previous Articles     Next Articles

Saddlepoint Approximate Confidence Intervals for the pth Quantile of Logistic Response Distribution

 TIAN Yu-Bin, ZHANG Yang, LI Guo-Yang   

  1. 北京理工大学理学院数学系 北京 100081 中国科学院数学与系统科学研究院 北京 100080
  • Online:2005-02-25 Published:2005-02-25
  • Supported by:

    国家自然科学基金(10371126)资助

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.

CLC Number: 

  • 62F25
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