Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Conditional Expectation: BasicsIntroduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Generalized Linear ModelsCovers probability, random variables, expectation, GLMs, hypothesis testing, and Bayesian statistics with practical examples.
Probability ReviewIntroduces subgaussian and subexponential random variables, conditional expectation, and Orlicz norms.
Stochastic Models for CommunicationsCovers random vectors, joint probability density, independent random variables, functions of two random variables, and Gaussian random variables.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.