Publication Date
2024
Document Type
Dissertation/Thesis
First Advisor
Ryu, Duchwan
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Mathematical Sciences
Abstract
Shape analysis is a field of Statistics focused on analyzing and understanding the shape or the geometric properties of objects. We utilize the Bayesian circular cubic smoothing splines to estimate the shapes and introduce a rotation-based alignment method. A simulation study investigates the effect of shape alignment. As an application, we estimate the shapes of hourly crime rates in urban centers across the United States and compare the aligned shapes for different types and locations of crimes. In addition, we apply the proposed shape estimation with alignment to the survival analysis for the length of hospitalization of COVID-19 patients in Turkey. The estimated and aligned shapes of lesions from the lungs of COVID-19 patients show a meaningful contribution to their lengths of hospitalizations.
Recommended Citation
Zhang, Yang, "Applications of Shape Analysis" (2024). Graduate Research Theses & Dissertations. 8000.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/8000
Extent
52 pages
Language
en
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
