STA 355: Theory of statistical practice

Wenlong Mou, Department of Statistical Sciences, University of Toronto, Fall 2025

Schedule

lecture topic book chapters notes
09/05 introduction, review of probability theory 1 – 4 Lecture 1
09/12 convergence of random variables and limit theorems, basic concepts of statistical models 5, 6 Lecture 2
09/19 concepts of statistical inference, estimating cdf and statistical functionals 7, 8 Lecture 3
09/26 bootstrap, parametric bootstrap 8 Lecture 4
10/03 Z-estimators, maximal likelihood estimation, M-estimators, asymptotic convergence 9 Lecture 5
10/10 M-estimator consistency theorem, additional topics on asymptotic normality, jackknife debiasing, sufficient statistics 9 Lecture 6
10/17 midterm exam - Solutions
10/24 hypothesis testing, p-values, multiple testing, permutation tests 10 Lecture 7
11/07
11/14
11/21
11/28