Statistics 210A: Theoretical Statistics (Fall 2021)

If you are an undergraduate who wants to take the course, please fill out the permission code request form to let me know about your background.

Anyone considering taking the course is encouraged to read the frequently asked questions regarding preparation and review materials.

Course Information

• Prof. Will Fithian (Instructor)

  • 301 Evans

  • Office Hours: Tues 4:30-5:30 (Zoom), Thurs 11-12 (in-person, Evans 301)

  • Email wfithian@berkeley.edu

• Dohyeong Ki (GSI)

  • Office Hours: Mon 4:30-5:30 (Zoom), Thurs 3:30-4:30 (in-person, Evans 444)

  • Email dohyeong_ki@berkeley.edu

• Course schedule

  • Lectures TuTh 9:30-11, VLSB 2060 (posted on Kaltura asynchronously)

  • Recitation sections every second F 3:30-4:30pm beginning September 3

  • Final Exam Review F Dec 10, 4pm

  • Final Exam Tu Dec 14, 3-6pm

• Lecture videos and homework solutions at bCourses

• Email policy: You can email me or the GSIs about administrative questions, with “[Stat 210A]” in the subject line. No math over email, please.

• Piazza for announcements and technical questions (no homework spoilers!)

• Gradescope for turning in homework

Materials

Lecture notes:

• Lecture 1 (8-26-2021)

• Lecture 2 (8-31-2021)

• Lecture 3 (9-2-2021)

• Lecture 4 (9-7-2021)

• Lecture 5 (9-9-2021)

• Lecture 6 (9-14-2021)

• Lecture 7 (9-16-2021)

• Lecture 8 (9-21-2021)

• Lecture 9 (9-23-2021)

• Lecture 10 (9-28-2021)

• Lecture 11 (9-30-2021, 10-5-2021)

• Lecture 12 (10-7-2021)

• There is no Lecture 13

• Lecture 14 (10-12-2021)

• Lecture 15 (10-14-2021, 10-19-2021)

• There is no Lecture 16

• Lecture 17 (10-21-2021)

• Lecture 18 (10-26-2021, 10-28-2021)

• Lecture 19 (11-02-2021)

• There is no Lecture 20

• Lecture 21 (11-04-2021, 11-09-2021)

• There is no Lecture 22

• Lecture 23 (11-16-2021, 11-18-2021)

• There is no Lecture 24

• Lecture 25 (11-18-2021, 11-23-2021)

Materials from class:

• Exponential tilting demo (source)

• Demo of Bayesian inference for the beta-binomial distribution

• Demo of Gibbs sampler for Bayesian inference using JAGS

Assignments:

• Not Due Sep 1: Optional Homework 0 (source)

• Due Sep 8: Homework 1 (source)

• Due Sep 15: Homework 2 (source)

• Due Sep 22: Homework 3 (source)

• Due Sep 29: Homework 4 (source)

• Due Oct 6: Homework 5 (data for Problem 5) (source)

• Due Oct 13: Homework 6 (source)

• Due Oct 20: Homework 7 (source)

• Due Oct 27: Homework 8 (source)

• Due Nov 3: Homework 9 (data for Problem 3, data for Problem 5) (source)

• Due Monday Nov 15: Homework 10 (source)

• Due Monday Nov 22: Homework 11 (source)

• Due Friday Dec 3: Homework 12 (sample and validation data for Problem 2)(source)

Content

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

Topics:

• Statistical decision theory, frequentist and Bayesian

• Exponential families

• Point estimation

• Hypothesis testing

• Resampling methods

• Estimating equations and maximum likelihood

• Empirical Bayes

• Large-sample theory

• High-dimensional testing

• Multiple testing and selective inference

References

All texts are available online from Springer Link.

Main text:

• Keener, Theoretical Statistics: Topics for a Core Course, Springer 2010.

Supplementary texts:

• Lehmann and Casella, Theory of Point Estimation, Springer 1998.

• Lehmann and Romano, Testing Statistical Hypotheses, Springer 2005.

• Candes, Stats 300C Lecture notes, Stanford 2016.

• Unofficial Fall 2017 lecture notes (transcribed by student Sinho Chewi).

• Gelman & Hill, Data Analysis Using Regression and Multilevel/Hierarchical Models (for applied context).

Undergrad-level review texts for prerequisites:

• Axler, Linear Algebra Done Right, Chapters 1-3, 5-6.

• Abbott, Understanding Analysis, Chapters 1-3.

• Adhikari & Pitman, Probability for Data Science, Chapters 1-6, 8-9, 13-17, and 23.

Grading

Your final grade is based on:

• Weekly problem sets: 50%

• Final exam: 50%

Lateness policy: Homework must be submitted to Gradescope at midnight on Wednesday nights. Late problem sets will not be accepted, but we will drop your lowest two grades.

Collaboration policy: For homework, you are welcome to work with each other or consult articles or textbooks online, with the following caveats:

1. You must write up your solution by yourself.

2. You may NOT consult any solutions from previous iterations of this course.

3. If you collaborate or use any resources other than course texts, you must acknowledge your collaborators and the resources you used.

Academic integrity: You are expected to abide by the Berkeley honor code. Violating the collaboration policy, or cheating in any other way, will result in a failing grade for the semester and you will be reported to the University Office of Student Conduct.

Accommodations

Students with disabilities: Please see me as soon as possible if you need particular accommodations, and we will work out the necessary arrangements.

Scheduling conflicts: Please notify me in writing by the second week of the term about any known or potential extracurricular conflicts (such as religious observances, graduate or medical school interviews, or team activities). I will try my best to help you with making accommodations, but cannot promise them in all cases. In the event there is no mutually-workable solution, you may be dropped from the class.

Lecture schedule