Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Parametric ModelsExplores statistical estimation, regression models, and model selection in parametric models.
Red bus/Blue bus paradoxExplores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
Estimation and DetectionExplores estimation, detection, linear estimators, and the orthogonality principle in machine learning.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Regression: Linear ModelsIntroduces linear regression, generalized linear models, and mixed-effect models for regression analysis.