Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Probability ReviewIntroduces subgaussian and subexponential random variables, conditional expectation, and Orlicz norms.
Generalized Linear ModelsCovers probability, random variables, expectation, GLMs, hypothesis testing, and Bayesian statistics with practical examples.
Calculations of ExpectationCovers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Conditional Expectation: BasicsIntroduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
Advanced Probability: SummaryCovers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.
