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Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Advanced Probability: SummaryCovers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.
Stochastic Models for CommunicationsCovers random vectors, joint probability density, independent random variables, functions of two random variables, and Gaussian random variables.
Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.