Math 152: Statistical Theory

Statistical Theory is the course where the Introductory Statistics concepts are developed using first principles, probability theory, calculus, and linear algebra. Optimality of procedures is derived and discussed: which measure of ‘best’ should be used to evaluate a method?

The Course

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Statistical Theory is an introduction to statistics for students with a background in probability theory, calculus, and linear algebra. There is no statistics prerequisite for this class. The course will be focused on the theoretical aspects of the material, though there will be some real world applications in class and in the homework assignments. The idea is to have a strong mathematical understanding of the concepts while also understanding how the concepts are applied in the real world.

Student Learning Outcomes.

At the completion of this course, students will:

  • be able to derive the methods from introductory statistics using tools from mathematics (i.e., calculus and probability).
  • be able to justify the use of a particular method (technical conditions).
  • be able to weigh advantages and disadvantages of different estimation techniques (e.g., bias, variability, resistance to outliers).
  • know to and how to communicate results effectively.

Course website

Statistical Theory was last taught in Fall 2022, materials can be found on the course website.