Date of Award
Summer 8-11-2020
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Yichuan Zhao
Second Advisor
Dr. Jing Zhang
Third Advisor
Dr. Jun Kong
Abstract
In several fields, such as survival analysis, reliability theory, and forensic science, the mean past lifetime (MPL), also known as the expected inactivity time function, plays a vital role. For inference on the MPL function, some procedures have been proposed in the literature, based on a Central Limit Theorem result for the MPL function's estimator. In this thesis, an empirical likelihood (EL) inference procedure of the MPL function is proposed. In addition to that, we obtain the adjusted EL and mean EL confidence interval for the MPL function. The proposed confidence intervals are compared through simulation studies in terms of coverage probability and the average length of the confidence interval. The simulation studies showed that the proposed EL methods have better coverage probability and shorter average lengths than the normal approximation result. Finally, the proposed methods are illustrated by two real data analyses.
DOI
https://doi.org/10.57709/18741539
Recommended Citation
Defor, Edem, "Empirical Likelihood Inference for the Mean Past Lifetime Function." Thesis, Georgia State University, 2020.
doi: https://doi.org/10.57709/18741539
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