Yao Li

Assistant Professor

Department of Mathematics and Statistics

University of Massachusetts Amherst

Probability Theory I (Spring 2017)

Welcome to my class!

The required textbook is "A Course in Probability Theory" by Kai-Lai Chung

Please read the syllabus carefully.

Week 1 and 2, measure theory. A supplementary material by Richard Ellis about the Caratheodory’s Extension Theorem.

Homework Assignment 1 Due on Feb. 7th. Some hints of selected problems are here .

Homework Assignment 2 Due on Feb. 14th

Homework Assignment 3 Due on Feb. 28th

Homework Assignment 4 Due on Mar. 9th. Some hints of selected problems are here .

Homework Assignment 5 Due on Mar. 23rd

Homework Assignment 6 Due on Apr. 4th. See here for an elementary proof of strong law of large number.

Homework Assignment 7 Due on Apr. 13th. See here for the proof of Lindeberg-Feller central limit theorem.

Homework Assignment 8 Due on Apr. 27th

Final Exam will be available on May 5th 7am. Please finish it in 48 hours.