Concept
Algebra of random variables
Related lectures (32)
Conditional Expectation
Covers conditional expectation, Fubini's theorem, and their applications in probability theory.
Von Neumann Extractor: Extensions
Covers the von Neumann Extractor, its extensions, extraction rules, uniformity proofs, and exchangeability of sequences.
Martingale Convergence Theorem
Explores the proof of the martingale convergence theorem and the conditions for convergence to a random variable.
Conditional Expectation: Basics
Introduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
Probability Theory: Midterm Solutions
Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.
Conditional Expectation: Grouping Lemma
Explores conditional expectation, the grouping lemma, and the law of large numbers.
Probability Theory: Conditional Expectation
Covers conditional expectation, convergence of random variables, and the strong law of large numbers.
Variance of Random Variables
Covers the concept of variance for random variables and introduces calculation rules.
Statistical Inference: Random Variables
Covers random variables, probability functions, expectations, variances, and joint distributions.
Statistics: Expectation and Variance
Covers the concepts of expectation and variance in statistics, including their calculations and significance.