Date Thesis Awarded
12-2023
Access Type
Honors Thesis -- Open Access
Degree Name
Bachelors of Science (BS)
Department
Computational & Applied Mathematics & Statistics
Advisor
Anh T. Ninh
Committee Members
Gexin Yu
Lawrence M. Leemis
Daniel Vasiliu
Abstract
In this paper, we study the Poisson-gamma model for recruitment time in clinical trials. We proved several properties of this model that match our intuitions from a reliability perspective, did simulations on this model, and used different optimization methods to estimate the parameters. Although the behaviors of the optimization methods were unfavorable and unstable, we identified certain conditions and provided potential explanations for this phenomenon and further insights into the Poisson-gamma model.
Recommended Citation
Liu, Junyan, "Parameter Estimation for Patient Enrollment in Clinical Trials" (2023). Undergraduate Honors Theses. William & Mary. Paper 2066.
https://scholarworks.wm.edu/honorstheses/2066
Included in
Applied Mathematics Commons, Applied Statistics Commons, Data Science Commons, Operational Research Commons, Survival Analysis Commons
