STAT 501 aims to cover Chapters 1–4 in Casella and Berger, continuing
with Chapters 5–10 in STAT 502 next semester.
Week 1: Aug 20–22
Wednesday
- Introductions to the course and each other
- Sections 1.1–1.2.1: Set theory, sigma algebra, basics of probability
theory
Friday
- Section 1.2.2: Calculus of probabilities
Week 2: Aug 25–29
Monday
- Section 1.2.2: Calculus of probabilities (cont)
Wednesday
- Section 1.2.3–1.2.4: Combinatorics in probability
- Homework 1 due (Sections 1.1–1.2.2) in Gradescope by 5:00pm
Friday
- Section 1.2.3–1.2.4: Combinatorics in probability (cont)
Week 3: Sep 1–5
Wednesday
- Section 1.3: Conditional probability and independence
- QUIZ 1: Section 1.1–1.2.2
Friday
- Section 1.3: Conditional probability and independence (cont)
Week 4: Sep 8–12
Monday
- Section 1.3: Conditional probability and independence (cont)
Wednesday
- Section 1.4: Random variables
- Section 1.5: Distribution functions
- Homework 2 due (Sections 1.2.3–1.3) in Gradescope by 5:00pm
Friday
- Section 1.5: Distribution functions (cont)
Week 5: Sep 15–19
Monday
- Section 1.6: Density and mass functions
Wednesday
- Section 1.6: Density and mass functions (cont)
- QUIZ 2: Sections 1.2.3–1.3
Friday
- Section 2.1: Distributions of functions of a random variable
Week 6: Sep 22–26
Monday
- Section 2.1: Distributions of functions of a random variable
(cont)
Wednesday
- Section 2.2: Expected values
- Homework 3 due (Sections 1.4–1.6) in Gradescope by 5:00pm
Friday
- Section 2.2: Expected values (cont)
Week 7: Sep 29–Oct 3
Monday
- Section 2.3: Moments and moment generating functions
Wednesday
- Section 2.3: Moments and moment generating functions (cont)
- Section 2.6: Cumulant generating functions and characteristic
functions
- (Skip Section 2.4)
- QUIZ 3: Sections 1.4–1.6
Week 8: Oct 6–10
Monday
- Sections 3.1 and 3.2: Discrete families of distributions
Wednesday
- Section 3.2 (cont): Discrete families of distributions
- Homework 4 due (Sections 2.1–2.3) in Gradescope by 5:00pm
Friday
- Section 3.3: Continuous families of distributions
Week 9: Oct 13–17
Monday
- Section 3.3 (cont): Continuous families of distributions
Wednesday
- Section 3.4: Exponential families
- Section 3.5: Location and scale families
- Section 3.6: Inequalities and Identities
Friday
- Section 4.1: Joint and marginal distributions
- QUIZ 4: Sections 2.1–2.3
Week 10: Oct 20–24
Monday
- Section 4.1 (cont): Joint and marginal distributions
Wednesday
- Section 4.1 (cont): Joint and marginal distributions
- Homework 5 due (Sections 3.1–3.6) in Gradescope by 5:00pm
Friday
- Section 4.1 (cont): Joint and marginal distributions
Week 11: Oct 27–31
Monday
- Section 4.2: Conditional distributions and independence
Wednesday
- Section 4.4: Hierarchical models and mixture distributions
- QUIZ 5: Sections 3.1–3.6
Friday
- Section 4.4: Hierarchical models and mixture distributions
(cont)
Week 12: Nov 3–7
Monday
- Section 4.5: Covariance and correlation (bivariate)
Wednesday
- Section 4.5: Covariance and correlation (cont)
- Homework 6 due (Sections 4.1–4.2, 4.4) in Gradescope by 5:00pm
Friday
- Section 4.3: Bivariate transformations
Week 13: Nov 10–14
Monday
- Section 4.3: Bivariate transformations (cont)
Wednesday
- Section 4.6: Multivariate distributions
- QUIZ 6: Sections 4.1–4.2, 4.4
Friday
- Section 4.6: Multivariate distributions (cont)
Week 14: Nov 17–21
Monday
- Section 4.7: Cauchy-Schwarz and Jensen’s inequalities
- Covariance and correlation for random vectors (not in textbook)
Wednesday
- More on random vectors
- Homework 7 due (Sections 4.3, 4.5–4.7) in Gradescope by 5:00pm
Friday
- Special topics / preview of STAT 502
Nov 24–28: Fall break
Week 15: Dec 1–5
Monday
- Special topics / preview of STAT 502
Wednesday
- Optional group review quiz - option to work in
teams during class; this score will replace your second lowest quiz
score.
Finals week
- Final exam in Wilson Hall 1-124 on Monday, December 8,
10:00am-11:50am