Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Multivariate Gaussian LawsExplores multivariate Gaussian laws, covering probabilities, correlations, and conditional distributions in bivariate cases.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.