STAT 430-2: Probability for Statistical Inference 2, Winter 2024

Basic info

Course description: This course is the second in a three-quarter sequence of graduate probability theory with an eye towards statistical inference.
The first course covers an introduction to mathematical probability theory, including measure theory, law of large numbers, and the central limit theorem. In this course, after a brief review of the aforementioned topics, we cover Markov chains, conditional expectation, martingales, Poisson processes, Brownian motion, and selected advanced topics, together with statistical applications.

Prerequisites: STAT 430-1 or permission of instructor.

Instructor: Miklos Z. Racz
Lecture time and location: TuTh 11:00 am - 12:20 pm, Annenberg Hall G29
Office hours: Th 9 - 11 am, 2006 Sheridan Rd, Room 108

Teaching Assistant:

Grading and course policies

Grading: There will be homework problem sets throughout the quarter (approximately weekly), as well as a midterm and a final exam.
Your final score is a combination of your performance in these, with the following breakdown:
Midterm info: Tuesday, 6 February, in class

Final info: Tuesday, 12 March, Tech L150

Homework and collaboration policy:
Please be considerate of the grader and write solutions neatly. Unreadable solutions will not be graded.
Please write your name, Northwestern email, and the names of other students you discussed with on the first page of your HW.
No late homework will be accepted. Your lowest homework score will be dropped.

You should first attempt to solve homework problems on your own.
You are encouraged to discuss any remaining difficulties in study groups of two to four people.
However, you must write up the solutions on your own and you must never read or copy the solutions of other students.
Similarly, you may use books or online resources to help solve homework problems, but you must always credit all such sources in your writeup, and you must never copy material verbatim.

Advice: do the homeworks! While homework is not a major part of the grade, the best way to understand the material is to solve many problems. In particular, the homeworks are designed to help you learn the material along the way.


We will provide hand-written course notes. In addition, we recommend consulting various textbooks that can aid in your learning. There are many texts that cover first year graduate probability. While the focus and scope of this course is slightly different, these texts can be valuable resources. David Aldous has an extensive annotated list here and here; in particular, consider consulting:


Tentative schedule and outline of topics covered:
The outline above is subject to change depending on how we progress through the quarter.

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