Detection & EstimationCovers binary classification, hypothesis testing, likelihood ratio tests, and decision rules.
Probability and StatisticsIntroduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
The Marriage ProblemExplores the marriage problem, modeling the process as a controlled stochastic process with dynamic programming algorithms to find the optimal policy for accepting bachelors.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Risk and Risk PremiumExplores risk evaluation, equivalent value, and insurance premium in lotteries, as well as discount rate adjustments.