Date of Award
11-21-2008
Degree Type
Closed Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Yichuan Zhao - Chair
Second Advisor
Dr. Jiawei Liu
Third Advisor
Dr. Xu Zhang
Fourth Advisor
Dr. Yu-Sheng Hsu
Abstract
In this thesis, we study two independent samples under right censoring. Using a smoothed empirical likelihood method, we investigate the difference of quantiles in the two samples and construct the pointwise confidence intervals from it as well. The empirical log-likelihood ratio is proposed and its asymptotic limit is shown as a chi-squared distribution. In the simulation studies, in terms of coverage accuracy and average length of confidence intervals, we compare the empirical likelihood and the normal approximation method. It is concluded that the empirical likelihood method has a better performance. At last, a real clinical trial data is used for the purpose of illustration. Numerical examples to illustrate the efficacy of the method are presented.
DOI
https://doi.org/10.57709/1059720
Recommended Citation
Yau, Crystal Cho Ying, "Empirical Likelihood Confidence Intervals for the Difference of Two Quantiles with Right Censoring." Thesis, Georgia State University, 2008.
doi: https://doi.org/10.57709/1059720