Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Exponential FamilyCovers the properties of the exponential family and the estimation of parameters.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Optimality in Statistical InferenceDelves into the duality between confidence intervals and hypothesis tests, emphasizing the importance of precision and accuracy in estimation.
Maximum Likelihood EstimationCovers Maximum Likelihood Estimation in statistical inference, discussing MLE properties, examples, and uniqueness in exponential families.
Introduction to Probability TheoryCovers the basics of probability theory, including definitions, calculations, and important concepts for statistical inference and machine learning.