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This book contains the course notes for *MATH/STAT 355:* *Statistical Theory\** at Macalester College, as taught by Prof. [Taylor Okonek](https://taylorokonek.github.io/). These notes draw from reading guides created by Prof. [Kelsey Grinde](https://kegrinde.github.io/), a little bit from the textbook, *An Introduction to Mathematical Statistics and Its Applications* by Richard Larsen and Morris Marx (6th Edition), and the STAT 512/513 Course Notes developed by Dr. Michael Perlman at the University of Washington. As of Spring 2025, this course no longer requires a textbook, and relies heavily on these course notes instead.
Each chapter of the course notes will contain (at a minimum):
1. Topic Introduction
2. Learning Objectives
3. Concept Questions
4. Definitions
5. Theorems
6. Worked Examples
**I will be editing and adding to these notes throughout Spring 2025, so please check consistently for updates!**
If you find any typos or have other questions, please email [tokonek\@macalester.edu](mailto:tokonek@macalester.edu).
\* *MATH/STAT 355: Statistical Theory* went under the title *MATH/STAT 455: Mathematical Statistics* prior to Spring 2025. The course content is largely similar, the differences primarily being the structure of the course and not the content itself.