Back to M/STAT 501 syllabus…

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

Fri Nov 6

  • No class

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

Wed Nov 18

  • Project presentations

Thur Nov 19

  • QUIZ 7 in Gradescope: Sections 4.6-4.7

Fri Nov 20

  • Project presentations (if needed)