Stat 640: Advanced Statistical Theory

Department of Statistics and Biostatistics, CSU East Bay

Fall 2025:

Week 4:

Updated: The Dates webpage for the quizzes and midterms has been updated.
Quiz: The first Quiz will be next week on Wednesday at the start of class. Topics to include: Probability Models, Independence, Plotting discrete and continuous probability models, Functions of Random Variables, Inverse CDF Method, Simulation of random values.
Topics: Joint Distributions and Conditional Distributions, Order Statistics.
Homework Guidelines: homework_guidelines.pdf
Assignment: Homework 3 has been posted.

Week 3:

Holiday: No class on Monday, September 1, 2025 (Labor Day).
Topics: Functions of Random Variables. Proposition C and Proposition D. Inverse CDF Method for generating random numbers.
Assignment: Homework01 AI, Homework 2, Homework02 AI have been posted.

Week 2:

In class we will start with a few Probability Examples that use Independence. See the Handouts link.
Topics: Probability Simulation, Random Variables, Probability Models, Simulation of Random Values.
In class we will start with a discussion of Probability Models that can be described using an urn model.
Homework submission: Your handwritten homework solutions should be done through Canvas. Your papers should be scanned into a .pdf file and submitted in the order assigned. Your name should appear on each page. I would suggest starting each problem at the top of a new page so it is clear to me which problem you are working on. Your R code should be completed in an R Quarto Notebook Rendered to a .html file and submitted through Canvas, submit both the .qmd file and the .html file.
Assignment: Homework 1 has been posted.

Week 1:

In class we will go over the syllabus.
The classroom technology will be tested.
The lectures will be available through Zoom during the class times and the recording will be posted in Canvas.

Week 0: