Statistics 210a: Theoretical Statistics

UC Berkeley, Fall 2026

Stat 210A is an introductory Ph.D.-level course in theoretical statistics. It is a fast-paced and demanding course intended to prepare students for research careers in statistics.

Course enrollment for undergraduates

If you are an undergraduate who wants to take this course, please fill out the permission code request form to let me know about your background. If you are unsure of your background, you can check the frequently asked questions regarding preparation and review materials.

Resources

  • Syllabus for basic course information
  • Gradescope for turning in homework
  • EdStem for announcements and technical discussion (no homework spoilers!)
  • bCourses for lecture videos and homework solutions

Schedule

Week 1

Aug 27: Lecture 1 Introduction Handwritten notes

Week 2

Sep 1: Lecture 2 Probability Handwritten notes
Sep 3: Lecture 3 Estimation Handwritten notes

Week 3

Sep 8: Lecture 4 Sufficiency Handwritten notes
Sep 9: Homework 1 Problems LaTeX source
Sep 10: Lecture 5 Exponential Families Handwritten notes

Week 4

Sep 15: Lecture 6 Exponential Families (2nd lecture) Handwritten notes
Sep 16: Homework 2 Problems LaTeX source
Sep 17: Lecture 7 Completeness Handwritten notes

Week 5

Sep 22: Lecture 8 Unbiased Estimation Handwritten notes
Sep 23: Homework 3 Problems LaTeX source
Sep 24: Lecture 9 Score and Fisher Information Handwritten notes

Week 6

Sep 29: Lecture 10 Bayes Estimation Handwritten notes
Sep 30: Homework 4 Problems LaTeX source
Oct 1: Lecture 11 Interpretation and Choice of Prior Handwritten notes

Week 7

Oct 6: Lecture 12 Bayesian Computation Handwritten notes
Oct 7: Homework 5 Problems LaTeX source
Oct 8: Lecture 13 James--Stein Estimator Handwritten notes

Week 8

Oct 13: Lecture 14 Minimax Estimation Handwritten notes
Oct 14: Homework 6 Problems Data LaTeX source
Oct 15: Lecture 15 TBD (extra lecture)

Week 9

Oct 20: Lecture 16 Hypothesis Testing Handwritten notes
Oct 21: Homework 7 Problems LaTeX source
Oct 22: Lecture 17 Testing with one parameter Handwritten notes

Week 10

Oct 27: Lecture 18 p-values and confidence intervals Handwritten notes
Oct 28: Homework 8 Problems LaTeX source
Oct 29: Lecture 19 Testing with nuisance parameters Handwritten notes

Week 11

Nov 3: Lecture 20 Testing in linear models Handwritten notes
Nov 4: Homework 9 Problems LaTeX source
Nov 5: Lecture 21 Testing in linear models (second lecture) Handwritten notes

Week 12

Nov 10: Lecture 22 Asymptotics Handwritten notes
Nov 12: Lecture 23 Maximum likelihood estimation Handwritten notes
Homework 10 Problems LaTeX source Data for problem 3

Week 13

Nov 17: Lecture 24 MLE Consistency Handwritten notes
Nov 18: Homework 11 Problems LaTeX source
Nov 19: Lecture 25 Likelihood-based Inference Handwritten notes

Week 14

Nov 24: Lecture 26 Bootstrap (on Zoom) Handwritten notes

Week 15

Dec 1: Lecture 27 Multiple Testing (Part I) Handwritten notes
Dec 2: Homework 12 Problems LaTeX source
Dec 3: Lecture 28 Multiple Testing (Part II) Handwritten notes

Week 17

Dec 15: Exam Final Exam, 8-11am
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