Course Schedule

The course schedule for this course will appear to be somewhat sparse, as this course is taught in a “chalk-talk” style. The topics covered each day, and the relevant chapter of the course notes will be listed. The “Announcements” column is (hopefully) self-explanatory. Any urgent announcements will be made over email.

Week Monday Wednesday Friday Announcements
1 Winter Break Winter Break

1/24: First day of class!

Syllabus / Begin probability review (Chapter 1)

Introduction Slides

Problem Set Suggestions: PS1: Begin working through Probability Review 1 - 3

Welcome (back) to campus!

Fill out the Introductions Survey so that I can get to know you better!

Look through the Prob Review section of the Course Notes, and come to class on Monday with specific things you want to review (we’ll for sure go over transformations as a class)

2

1/27: Probability Review

Transformations of Single Random Variables

Problem Set Suggestions: PS1: Begin working through Probability Review 1 - 5

1/29: Probability Review

Transformations of more than one Random Variable

Problem Set Suggestions: PS1: Keep working through all of the Probability Review section

1/31: Probability Review & MLE Introduction

Prob Review: Worked Example 7 as a group, then MLE Introduction

Problem Set Suggestions: PS1: Any and everything! Pay attention to sublteties on MLE Q2 and Q4 (we’ll go over ideas on Monday)

Quiz 1 (Probability & MLE) Tentatively Monday 2/10

PS1 due Fri. 2/14

3

2/3: MLE

MLE when the “usual” way doesn’t work / Order Statistics

Problem Set Suggestions: PS1: Try to have attempted every problem by Wednesday, so that you can come to OH with questions and have time to type things up!

2/5: MLE

MLE Practice & Connection to Least Squares

Problem Set Suggestions: PS1: Same as Monday, try to work through everything, and start typing up answers if you haven’t already!

2/7: Work Day

I’m out of town! I would strongly suggest working together in class on homework, reviewing for Quiz 1, or worked examples!

Quiz 1 (Probability & MLE) Monday 2/10

PS1 due Fri. 2/14

4

2/10: Quiz 1 (Probability & MLE)

I will print copies of this distributions sheet for you to use during the quiz, otherwise it’s closed-note!

2/12: MOM

Intro to the “Method of Moments” estimator

Problem Set Suggestions: Ask me any last-minute questions, otherwise work on typing everything up!

2/14: Properties of Estimators

Bias, Variance, MSE

Problem Set Suggestions:

PS1: Don’t forget to submit by 5pm!

PS2: Work through the MLE and MOM problems

Quiz 1 (Probability & MLE) Monday 2/10

PS1 due Fri. 2/14

PS2 due Fri. 2/28

5

2/17: Properties of Estimators

Cramer-Rao Lower Bound

Problem Set Suggestions: PS2: Finish working through the MOM problems, and try Properties Q1 & Q2

2/19: Properties of Estimators

Card Simulation Study: Prep

Problem Set Suggestions: PS2: You should be able to do all questions! Try them as early as you can so that you can come to office hours with questions!

2/21: Properties of Estimators

Card Simulation Study: The Simulation!

Problem Set Suggestions: PS2: Try to be done with the MLE, MOM, and Properties 1-3 questions. Get started on 4 and 5.

PS2 due Fri. 2/28

Quiz 2 (Probability & MLE Retakes, MOM & Properties: Bias, Variance, MSE) Monday 3/3

6

2/24: Properties of Estimators

Sufficiency: Lehmann-Scheffe

Problem Set Suggestions: Try to have attempted all problems by the end of the day today! Come to office hours on Tuesday, or Thursday with questions.

2/26: Review Day

Problem Set Suggestions: Come to office hours on Thursday with questions. Begin typing up problems if you haven’t already!

2/28: MSCS Capstone Days!

No class today! Instead, please attend at least two capstone talks (you can include your own), and submit a short write-up on Moodle.

PS2 due Fri. 2/28

Capstone write-up due Friday 2/28 at Midnight

Quiz 2 (Probability & MLE Retakes, MOM & Properties: Bias, Variance, MSE) Monday 3/3

7

3/3: Quiz 2 (Probability & MLE Retakes, MOM & Properties)

I will print copies of this distributions sheet for you to use during the quiz, otherwise it’s closed-note!

3/5: Properties of Estimators

Sufficiency: RBLS

Problem Set Suggestions: You should be able to do all of the Properties questions, and Correlated Data Q1! Properties Q2 is very long, so I would definitely start it now.

3/7: Consistency

Chebyshev’s Inequality

Problem Set Suggestions: After class today, you should be able to do every problem on the homework. Again, reminder that Properties Q2 is long. Start it early!

Quiz 2 (Probability & MLE Retakes, MOM & Properties: Bias, Variance, MSE) Monday 3/3

PS3 due Fri. 3/14 at 5pm

Quiz 3 (MOM * Properties: Bias, Variance, MSE Retakes, Sufficiency & Consistency) Friday 3/14

8

3/10: Asymptotics

Types of Convergence

Problem Set Suggestions: Try to have attempted every problem by today. Particularly because you have another quiz on Friday!

3/12: Asymptotics

Central Limit Theorem, Asymptotic Normality

Problem Set Suggestions: Begin typing everything up if you haven’t already!

3/14: Quiz 3 (MOM & Properties Retakes, Sufficiency & Consistency)

I will print copies of this distributions sheet for you to use during the quiz, otherwise it’s closed-note!

PS3 due Fri. 3/14 at 5pm

Quiz 3 (MOM * Properties: Bias, Variance, MSE Retakes, Sufficiency & Consistency) Friday 3/14

Please fill out the following mid-semester feedback surveys:

9 Spring Break Spring Break Spring Break

Enjoy Spring Break!

PS4 will be available, but not due until two weeks after Spring Break, so please take at least a little bit of time off from Stat Theory!

10

3/24: Asymptotics

Slutsky, CMT, Delta-method

Problem Set Suggestions: Try Correlated Data 1a, Asymptotics 1, and Asymptotics 4a - c

3/26: Asymptotics

Confidence intervals & Asymptotic Toolkit Review

Problem Set Suggestions: You can officially try all problems on the homework! I would try to finish the Correlated Data problem first.

3/28: Asymptotics

Asymptotic normality/efficiency of MLEs

Problem Set Suggestions: After finishing the Correlated Data problem, try to finish Asymptotics 1-3.

PS4 due Fri. 4/4 at 5pm

Quiz 4 (Asymptotics, Sufficiency & Consistency Retakes) Monday 3/31

11

3/31: Quiz 4 (Asymptotics, Sufficiency & Consistency Retakes)

I will print copies of this distributions sheet for you to use during the quiz, otherwise it’s closed-note!

4/2: Hypothesis Testing

Definitions

Read through beginning of Ch7 on your own after class!

Problem Set Suggestions: You should have attempted every problem by the end of the day, so that you can ask me last-minute questions! Asymptotics 4 is pretty conceptual, so think it through carefully.

4/4: Hypothesis Testing

UMP & Neyman-Pearson

Problem Set Suggestions: You should be done! Finish typing things up this morning if you need to.

Quiz 4 (Asymptotics, Sufficiency & Consistency Retakes) Monday 3/31

PS4 due Fri. 4/4 at 5pm

Quiz 5 (Hypothesis Testing, Asymptotics Retakes) Monday 4/14

12

4/7: Review-ish Day

What have we actually learned/shown so far throughout the course? Tying it all together…

Problem Set Suggestions: Try out the hypothesis testing questions first! Question 3 continues to build on every previous problem set!

4/9: Bayesian Inference

Philosophy & Definitions

Problem Set Suggestions: Start with Bayes 1 & 2. Try to have attempted Hypothesis Testing 3 by the end of the day.

4/11: Work Day

Taylor is out of town for a conference!

Problem Set Suggestions: Glance through all problems, and be prepared to come to me with questions at OH on Monday morning!

Quiz 5 (Hypothesis Testing, Asymptotics Retakes) Monday 4/14

PS5 due Fri. 4/18 at 5pm