Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Detection & EstimationCovers binary classification, hypothesis testing, likelihood ratio tests, and decision rules.