STAT 501 aims to cover Chapters 1-5 in Casella and Berger, continuing with Chapters 6-10 in STAT 502.
Week 1
Mon Aug 17
- Introductions to the course and each other
- Section 1.1: Set theory, sigma algebra, basics of probability theory
Wed Aug 19
- Section 1.2: Combinatorics in probability
Fri Aug 21
- Section 1.2 (cont): Combinatorics in probability
Week 2
Mon Aug 24
- Section 1.2 (cont): Combinatorics in probability
Wed Aug 26
- Section 1.3: Conditional probability and independence
- Homework 1 due (Sections 1.1-1.2) in Gradescope by 5:00pm
Fri Aug 28
- Section 1.3 (cont): Conditional probability and independence
Week 3
Mon Aug 31
- Section 1.4: Random variables
- Watch Section 1.3 Mouse Example and Section 1.4 videos in D2L.
- QUIZ 1 in Gradescope: Sections 1.1-1.2
Wed Sep 2
- Section 1.5: Distribution functions
Fri Sep 4
- Section 1.6: Density and mass functions
Week 4
Mon Sep 7
No classes: Labor Day
Wed Sep 9
- Section 2.1: Distributions of functions of a random variable
- Homework 2 due (Sections 1.3-1.6) in Gradescope by 5:00pm
Fri Sep 11
- Section 2.1 (cont): Distributions of functions of a random variable
Week 5
Mon Sep 14
- Section 2.1 (cont): Distributions of functions of a random variable
- QUIZ 2 in class or in Gradescope: Sections 1.3-1.6
Wed Sep 16
- Section 2.2: Expected values
Fri Sep 18
- Section 2.3: Moments and moment generating functions
Week 6
Mon Sep 21
- Section 2.3 (cont): Moments and moment generating functions
- (Skip Section 2.4)
Wed Sep 24
- Section 2.6: Cumulant generating functions and characteristic functions
- Homework 3 due (pdfs and Sections 2.1-2.3) in Gradescope by 5:00pm
Fri Sep 25
- Sections 3.1 and 3.2: Discrete families of distributions
Week 7
Mon Sep 28
- No class
- Video: Sections 3.1 and 3.2 (cont): Discrete families of distributions
- QUIZ 3 in Gradescope: Sections 2.1-2.3
Wed Sep 30
- Section 3.3: Continuous families of distributions
Fri Oct 2
- Section 3.4: Exponential families
Week 8
Mon Oct 5
- Section 3.4 (cont): Exponential families
Wed Oct 7
- Section 3.5: Location and scale families
- Homework 4 due (Sections 3.1-3.3) in Gradescope by 5:00pm
Fri Oct 9
- Attend the Montana Chapter of the American Statistical Association Annual Meeting: Statistics and Social Justice 12:30–4:30pm via Zoom. See meeting website for Zoom information and other details.
- You are expected to attend the Keynote Address by Dr. Kristian Lum 1:10–2:00pm in place of class today.
Week 9
Mon Oct 12
- No class
- Video: Section 3.6.1: Chebychev’s Inequality
- QUIZ 4 in Gradescope: Sections 3.1-3.3
Wed Oct 14
- Section 4.1: Joint and marginal distributions
Fri Oct 16
- Section 4.1 (cont): Joint and marginal distributions
Week 10
Mon Oct 19
- Section 4.2: Conditional distributions and independence
Wed Oct 21
- Section 4.4: Hierarchical models and mixture distributions
- Homework 5 due (Sections 3.4-3.6, 4.1) in Gradescope by 5:00pm
Fri Oct 23
- Section 4.5: Covariance and correlation (bivariate)
- Project proposal due in Gradescope by 5:00pm
Week 11
Mon Oct 26
- No class
- Video: Section 4.5 (cont): Covariance and correlation
- QUIZ 5 in Gradescope: Sections 3.4-3.6, 4.1
Wed Oct 28
- Section 4.3: Bivariate transformations
Fri Oct 30
- Section 4.3 (cont): Bivariate transformations
Week 12
Mon Nov 2
- Section 4.6: Multivariate distributions
- Project draft report due in Gradescope by 5:00pm
Wed Nov 4
- Section 4.6 (cont): Multivariate distributions
Thur Nov 5
- Homework 6 due (Sections 4.2-4.5) in Gradescope by 5:00pm
Week 13
Mon Nov 9
- Covariance and correlation for random vectors (not in textbook)
Tue Nov 10
- QUIZ 6 in Gradescope: Sections 4.2-4.5
- Quiz 6 will open at noon on Tuesday Nov 10 and close at noon on Tuesday Nov 11. You will have 40 minutes to take the quiz at any time during that time frame.
Wed Nov 11
No classes: Veterans Day
Fri Nov 13
- Section 4.7: Cauchy-Schwarz and Jensen’s inequalities
- Preview of STAT 502
- Project final report due in Gradescope by 5:00pm
Sun Nov 15
- Project presentation slides due in Gradescope by 5:00pm
Week 14
Mon Nov 16
- Project presentations
- Homework 7 due (Sections 4.6-4.7) in Gradescope by 5:00pm
Thur Nov 19
- QUIZ 7 in Gradescope: Sections 4.6-4.7
Fri Nov 20
- Project presentations (if needed)