Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Convergence in ProbabilityExplores convergence in probability, concentration inequalities, laws of large numbers, and properties of distributions.
Convergence Rate Theorem: Part 1Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.
Orthogonal Base ChangeExplores orthogonal base change in linear algebra, focusing on matrices and transformations.
