sirmurphalot/dissertation

Public-facing files for the big document itself.

Dissertation

Title: Fiducial Statistics on Differentiable Manifolds

Successfully defended on April 21st, 2023

This dissertation discusses material that can be found in the following publications:

• A. Murph, J. Hannig, and J. P. Williams (2021). Introduction to Generalized Fiducial Inference. Published in Chapman & Hall Handbook on Bayesian, Frequentist, and Fiducial Inference.
  Material Found in Chapter 2 Manuscript.
• A. Murph, J. Hannig, and J. P. Williams (2022+). Generalized Fiducial Inference on Differentiable Manifolds. In review.
  Material Found in Chapter 3 Manuscript.
• Y. Liu, J. Hannig, and A. Murph (2022+). A Geometric Perspective on Bayesian and Generalized Fiducial Inference. Published in Statistical Science.
  Material Found in Chapter 4 Manuscript.
• A. Murph and C. Storlie (2022+). Bayesian Change-point Detection for Process Monitoring with Fault Detection. In review.
  Material Found in Chapter 5 Manuscript.