1. A B-spline Hierarchical Model on HIV Prevalence Data Open Access Author: Tang, Yuan Title: A B-spline Hierarchical Model on HIV Prevalence Data Area of Honors: Mathematics Keywords: b-splinehierarchical modelHIV prevalencemixed modelBayesian inferenceMarkov Chain Monte Carlosparse and imbalanced data File: Download final_thesis_Yuan_Tang.pdf Thesis Supervisors: Le Bao, Thesis SupervisorLuen Chau Li, Thesis Honors Advisor