Date of Award
Spring 5-10-2014
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Gengsheng Qin
Second Advisor
Dr. Xin Qi
Third Advisor
Dr. Ruiyan Luo
Abstract
In this thesis, an empirical likelihood method based on influence function is developed and used to construct confidence intervals for the Lorenz ordinates. This method is defined under the simple random sampling and the limiting distribution of the proposed empirical likelihood ratio statistic is a standard Chi-square distribution. Extensive simulation studies are conducted to evaluate the proposed empirical likelihood-based confidence intervals for the Lorenz ordinates. Finally, this method is used on a real income data as an application.
DOI
https://doi.org/10.57709/5521276
Recommended Citation
Liu, Bing, "Influence Function-based Empirical Likelihood Inferences for Lorenz Curve." Thesis, Georgia State University, 2014.
doi: https://doi.org/10.57709/5521276