Optimization and SimulationIntroduces the Metropolis-Hastings algorithm for efficient simulation of random variables with given probabilities.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Advanced Probability: SummaryCovers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.