Instructor: Jonathan Niles-Weed (firstname.lastname@example.org), Office hours: Monday 11 am-12 pm, 60 5th Avenue 620
Teaching Assistant: Aram-Alexandre Pooladian (email@example.com), Office hours: Thursday 11:05 am-12:05 pm, 60 5th Avenue 242
Monday 4:55-6:35 PM, GCASL 388
Thursday 10:15-11:05 AM, 60 5th Avenue 150
For announcements and questions, please sign up on Piazza.
The goal of this course is to develop mathematical tools for analyzing statistical procedures.
Probability, linear algebra, mathematical maturity (comfort with proofs)
Though this course will be mathematical, several tricky issues will be ignored. A more rigorous treatment of some of the topics we cover is available in:
All three books are available for free via the links above with NYU credentials.
We will follow the following approximate schedule.
Unit 1: Asymptotics and non-asymptotics
- Week 1: Concentration inequalities
- Week 2: Maximal inequalities and uniform convergence
- Week 3: Asymptotics
Unit 2: Classical statistical tasks
- Week 4: Statistical modeling
- Week 5: Estimation
- Week 6: Testing and confidence sets
- Week 7: Midterm exam
- Week 8: Linear and logistic regression
Unit 3: Applications and extension
- Week 9: Model selection and regularization
- Week 10: Non-parametric statistics
- Week 11: Monte Carlo methods
- Week 12: Causal inference
- Week 13: Bayesian statistics
- Week 14: High-dimensional regression
There will be approximately 10 homework assignments over the course of the semester, drawn from the list of exercises at the end of each chapter of the lecture notes. Homeworks are due Sundays at 11:59 pm Eastern time via Gradescope (entry code: BB275B).
Late homeworks will not be accepted, but each student may request one, 24-hour homework extension over the course of the semester, with no excuse necessary. Further requests will not be considered. The lowest homework score will be dropped.
You may work with other students, however you must a) write solutions to the homework yourself and b) list the names of the students you collaborated with. If you consult any other sources (printed or online), you must cite those in your homework as well. Any violation of these policies will be considered cheating.
- HW 1 (due 9/18): Chapter 1, Exercises 1-5
- HW 2 (due 9/25): Chapter 2, Exercises 1-4
- HW 3 (due 10/3): Chapter 3, Exercises 1-6
- HW 4 (due 10/9): Chapter 4, Exercises 1-4
40% Homework + 30% Midterm + 30% Final project
There will be an in-class midterm exam on October 24.
In lieu of a final exam, this course will have a final project involving reading and summarizing a recent paper (or papers) of statistical interest. Working in groups of at most 2, your job is to: a) summarize the main idea/question of the paper, connecting it to ideas we’ve discussed in this course and b) carefully explain one part of the paper (by giving full details for one of the proofs, recreating an experiment, etc.)
Write-ups should be 5-10 pages, and are due on the last day of the semester (Dec 14). More details will be posted later in the semester.