Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Describing Data: Statistics & UncertaintyIntroduces descriptive statistics, uncertainty quantification, and variable relationships, emphasizing the importance of statistical interpretation and critical analysis.