Graduation Year
2019
Date of Submission
5-2019
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Mark Huber
Terms of Use & License Information
Abstract
This thesis will take a look at the roots of modern-day information geometry and some applications into statistical modeling. In order to truly grasp this field, we will first provide a basic and relevant introduction to differential geometry. This includes the basic concepts of manifolds as well as key properties and theorems. We will then explore exponential families with applications of probability distributions. Finally, we select a few time series models and derive the underlying geometries of their manifolds.
Recommended Citation
Lu, Adonis, "Statistical Theory Through Differential Geometry" (2019). CMC Senior Theses. 2181.
https://scholarship.claremont.edu/cmc_theses/2181
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
