Generalized Linear ModelsCovers probability, random variables, expectation, GLMs, hypothesis testing, and Bayesian statistics with practical examples.
Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.
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.
Calculations of ExpectationCovers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.
Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.