Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
Probability and StatisticsIntroduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Martingales: More TheoryExplores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.