Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Conditional Expectation: BasicsIntroduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
