Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Probabilités discrètesCovers the basics of discrete probability, including notations, axioms, pmf, examples, expectation, variance, and indicator variables.
Conditional ProbabilityExplores conditional probability, the law of total probability, Bayes' theorem, and prediction decomposition.
Probability Tools ReviewCovers the review of probability tools, including independence, conditional probability, and random variables.
