Probability and StatisticsCovers p-quantile, normal approximation, joint distributions, and exponential families in probability and statistics.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Introduction to Probability TheoryCovers the basics of probability theory, including definitions, calculations, and important concepts for statistical inference and machine learning.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Conditional ProbabilityExplores conditional probability, the law of total probability, Bayes' theorem, and prediction decomposition.
Stochastic Calculus: Lecture 1Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.