STA312H5 • Topics in Statistics
Fall 2026 topic title: A measure theoretic introduction to probability
Instructor: S. Volgushev
Topic description: The course will start with a measure theoretic introduction to core probability concepts (the Borel sigma field, probability measures, random variables, connection between expectation and integration, convergence modes of sequences of random variables) and move on to core ideas that are useful for applications in statistics such as the law of large numbers and the (multivariate) CLT, Lindeberg-Feller, the delta method. There will be a strong emphasis on rigorous mathematical arguments and proofs.
Prerequisites: STA256H5 and STA260H5 and mathematical proofs course (to be announced).
Enrolment Limits: Priority is given to students enrolled in Applied Statistics Specialist or Major programs and Mathematical Sciences - Major: Applied Mathematics program.
STA313H5 • Topics in Statistics
Fall 2026 topic title: Applied Statistical Modelling
Instructor: N. Mudalige
Topic description: List of topics covered: Review of simple and multiple linear regression; Introduction to the exponential family of distributions and generalized linear models; Logistic regression for binary response variables; Multinomial logistic regression for nominal categorical response variables; Proportional odds models for ordinal response variables; Poisson regression for count data; Time permitting: decision trees and random forests. Note: The R statistical software environment will be used throughout the course.
Prerequisites: STA302H5 or STA302H1 or STAC67H3
Enrolment Limits: Priority is given to students enrolled in Applied Statistics Specialist or Major programs and Mathematical Sciences - Major: Applied Mathematics program.
STA388H5 • Topics in Statistics
NOT OFFERED 2026-27
STA488H5 • Topics in Statistics
NOT OFFERED 2026-27