Using Saddlepoint Approximations and Likelihood-Based Methods to Conduct Statistical Inference for the Mean of the Beta Distribution

<p>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.</p>

Name thesis:degree_name

Master of Science - Mathematical Sciences

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics and Statistics

Year dc:date.available

2020

Author dc:creator

• Brakefield, Bryn

Contributors dc:contributor

• Dr. Jacob Turner
• Dr. Gregory K. Miller
• Dr. Jeremy Becnel

• statistical inference
• beta distribution
• saddlepoint approximations
• flow cytometry
• Statistical Theory

Repository record dc:identifier

https://scholarworks.sfasu.edu/etds/331

OAI identifier oai:identifier

oai:scholarworks.sfasu.edu:etds-1352