Concept

Central limit theorem

Related lectures (32)

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Central Limit Theorem: Properties and Applications

Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.

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Covers probability theory, distributions, and estimation in statistics, emphasizing accuracy, precision, and resolution of measurements.

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.

Binomial Distributions

Covers the normal distribution, inferential statistics, probability, and the binomial distribution in the context of the 'Dishonest Gambler Problem'.

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Explores methods for generating nonuniform distributions, including the rejection method of von Neumann and the central limit theorem.

Central Limit Theorem

Covers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.

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Statistical Inference: Confidence Intervals

Covers the construction of approximate confidence intervals using the central limit theorem for large sample sizes.

Central Limit Theorem: Proof

Presents the proof of the Central Limit Theorem using Lindeberg's principle.

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Extreme Value Theory: Statistical Applications

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