Extreme Variability Quasars

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Central Limit Theorem: Illustration and Applications

Explores the Central Limit Theorem and its statistical implications in random variables.

Galaxies and Clusters

Explores the content of the Universe, large scale structures, galaxy classification, and galaxy clusters.

Law of Large Numbers: Statistics

Explains the Law of Large Numbers and its application to random variables.

Multivariate Statistics: Normal Distribution

Introduces multivariate statistics, covering normal distribution properties and characteristic functions.

Natural Language Generation: Decoding & Training

Explores challenges in natural language generation, decoding algorithms, training issues, and reward functions.

Basics of Modern Cosmology: Part 1

Explores the basics of modern cosmology, covering tracers, quasars, large-scale structures, and the intergalactic medium.

Pizza Making Process

Covers the process of making pizza, sampling, averages, dispersion, residuals, and normal distribution.

Estimating Extreme Quantiles

Covers the estimation of extreme quantiles using empirical quantiles and sample data.

Gauss-Markov Theorem: Optimal Estimation

Explores the Gauss-Markov Theorem and the optimality of Least Squares Estimators in the Gaussian Linear model.

Likelihood Ratio Tests: Optimality and Extensions

Covers Likelihood Ratio Tests, their optimality, and extensions in hypothesis testing, including Wilks' Theorem and the relationship with Confidence Intervals.