4 Inequalities and Asymptotics
 Start: Monday, February 15
 End: Friday, February 19
4.1 Summary
This will be our last week reviewing probability concepts. First we’ll look at some useful inequalities. Then we will discuss asymptotics, leading to the central limit theorem.
4.2 Learning Objectives
After completing this week, you are expected to be able to:
 Provide bounds on probabilities using well known inequalities.
 Understand the difference between convergence in probability and distribution.
 Understand the central limit theorem.
 Approximate probabilities based on asymptotic normality.
 Understand the weak law of large numbers.
 Use the delta method.
4.3 Reading
Source  Section 

Wasserman  4.1  4.4 
Wasserman  5.1  5.7 
Evans and Rosenthal  3.6 
Evans and Rosenthal  4.1  4.6 
Marden  8.1  8.7 
Marden  9.1  9.5 
4.4 Video
Title and Slides  Link  Mirror 

4.0  Welcome to Week 04  4.0  YouTube  4.0  ClassTranscribe 
4.1  Inequalities  4.1  YouTube  4.1  ClassTranscribe 
4.2  Convergence  4.2  YouTube  4.2  ClassTranscribe 
4.3  Central Limit Theorem Proof  4.3  YouTube  4.3  ClassTranscribe 
4.5 Assignments

Homework 03
 Due: Monday, February 22
 Submission: Gradescope
 Solution: Compass
4.6 Office Hours
Staff and Link  Day  Time 

Zoom with David  Monday  7:00 PM  8:00 PM 
Zoom with Rentian  Wednesday  7:00 PM  8:00 PM 
Zoom with David  Thursday  7:00 PM  8:00 PM 
Zoom with Rentian  Friday  7:00 PM  8:00 PM 
Piazza  Any!  Any! 