Red bus/Blue bus paradoxExplores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
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.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Optimization and SimulationCovers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.
