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Law of averages
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Related lectures (29)
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Central Limit Theorem: Lindeberg's Principle
Explores the Central Limit Theorem, emphasizing the convergence towards a Gaussian distribution.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Central Limit Theorem: Multivariate Delta Method
Explores the Central Limit Theorem, Slutsky's Theorem, and the Multivariate Delta Method in probability and distribution convergence.
Markov Chain Convergence
Explores Markov chain convergence, emphasizing invariant distribution, Law of Large Numbers, and mean rewards computation.
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.
All of Probability: LLN, CLT, Chernoff and PAC bound
Covers the Law of Large Numbers, Central Limit Theorem, Chernoff bounds, and PAC bounds in probability theory.
Markov Chains: Convergence and Equilibrium
Explores the convergence properties of Markov chains and the computation of long-run mean rewards.
Monte Carlo Estimation: Error Analysis
Covers the Monte Carlo method for generating realizations and unbiased estimators.
Stochastic Processes: Symmetric Random Walk
Covers the properties of the symmetric random walk in stochastic processes.