Probabilities and StatisticsCovers fundamental concepts in probabilities and statistics, including linear regression, exploratory statistics, and the analysis of probabilities.
Statistical InferenceCovers likelihood ratio statistic, confidence intervals, and hypothesis testing concepts.
Distribution Theory of Least SquaresExplores the distribution theory of least squares estimators in a Gaussian linear model, focusing on precision and confidence intervals construction.
Nested Model SelectionExplores nested model selection in linear models, comparing models through sums of squares and ANOVA, with practical examples.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.