Date of Award
5-2020
Degree Type
Thesis
Degree Name
Master of Science - Mathematical Sciences
Department
Mathematics and Statistics
First Advisor
Dr. Jacob Turner
Second Advisor
Dr. Gregory K. Miller
Third Advisor
Dr. Jeremy Becnel
Fourth Advisor
Dr. Emiliano Giudici
Abstract
The prevalence of conducting statistical inference for the mean of the beta distribution has been rising in various fields of academic research, such as in immunology that analyzes proportions of rare cell population subsets. For our purposes, we will address this statistical inference problem by using likelihood-based applications to hypothesis testing, along with a relatively new statistical method called saddlepoint approximations. Through simulation work, we will compare the performance of these statistical procedures and provide both the statistical and scientific communities with recommendations on best practices.
Repository Citation
Brakefield, Bryn, "Using Saddlepoint Approximations and Likelihood-Based Methods to Conduct Statistical Inference for the Mean of the Beta Distribution" (2020). Electronic Theses and Dissertations. 331.
https://scholarworks.sfasu.edu/etds/331
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
