Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Probability: ExamplesCovers examples of probability, including Bayes Theorem, independence, and conditional probability.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Law of Total ProbabilityExplores the Law of Total Probability and its applications in real-world scenarios, introducing key concepts in probability theory.
Introduction to Probability TheoryCovers the basics of probability theory, including definitions, calculations, and important concepts for statistical inference and machine learning.
Stochastic Calculus: Lecture 1Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.