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Related lectures (32)
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Conditional Expectation: Grouping Lemma
Explores conditional expectation, the grouping lemma, and the law of large numbers.
Understanding Card Counting
Explores the misconceptions and strategies of card counting in a treasure hunt.
Law of Large Numbers: Statistics
Explains the Law of Large Numbers and its application to random variables.
Markov Chains: Convergence and Equilibrium
Explores the convergence properties of Markov chains and the computation of long-run mean rewards.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Markov Chain Convergence
Explores Markov chain convergence, emphasizing invariant distribution, Law of Large Numbers, and mean rewards computation.
Central Limit Theorem: Multivariate Delta Method
Explores the Central Limit Theorem, Slutsky's Theorem, and the Multivariate Delta Method in probability and distribution convergence.
Law of Large Numbers: General Assumptions
Delves into the complexities of extending from finite variance to finite expectation assumptions.
The Law of Large Numbers: Proof and Applications
Explores the proof and applications of the law of large numbers, emphasizing convergence of the empirical distribution.
Probability Theory: Conditional Expectation
Covers conditional expectation, convergence of random variables, and the strong law of large numbers.