Collection of materials related to my master's thesis on the topic of information geometry.
In essence, my thesis investigates ways to generalise simultaneous confidence regions to so-called parameter manifolds in the context of information geometry. In particular, an efficient method for determining exact confidence regions irrespective of the chosen parametrisation of the underlying model is developed.
A handout of the slides of a talk aimed at introducing and defending the results of said thesis is also provided.
In addition to the original version that was handed in officially, I will retain the right to also publish updated revisions of my thesis, where typos and formatting errors are incrementally corrected as I find them. In general, I recommend using the newest version.
A reasonably comprehensive list of all corrections can be found in the Corrections.md file.
An implementation of the methods which were developed and discussed in my thesis have been published as the InformationGeometry.jl package for the Julia programming language. A detailed guide explaining its use can be found in the associated documentation.
If you should have any questions regarding the provided materials or contents of the thesis, feel free to message me at [email protected].