MATH/STAT 355: Statistical Theory

Welcome to Statistical Theory!

This book contains the course notes for MATH/STAT 355: Statistical Theory* at Macalester College, as taught by Prof. Taylor Okonek. These notes draw from reading guides created by Prof. Kelsey Grinde, 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.

* 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.