Introduction to Theoretical Statistics

STATS 426 aims to introduce students to the fundamental principles and methodologies of statistical theory to upper-division undergraduate students. The course emphasizes rigorous understanding of:

• Estimation including techniques such as the method of moments and maximum likelihood;
• Hypothesis testing including confidence intervals and likelihood ratio methods;
• Large-sample approximations for inference;
• Nonparametric and Bayesian methods
• Theoretical foundations of comparing samples, linear models, and related topics.

Important Links

• Canvas for lecture slides, videos, homeworks and solutions.
• Gradescope for submitting homeworks.
• Piazza for announcements and discussions.

Main Reference

Our primary reference will be this book, which you may need to consult periodically.

• Rice, John A. Mathematical Statistics and Data Analysis. 3rd ed., Thomson/Brooks/Cole, 2007.