Generalized Linear ModelsCovers probability, random variables, expectation, GLMs, hypothesis testing, and Bayesian statistics with practical examples.
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.
Probabilities and StatisticsCovers fundamental concepts in probabilities and statistics, including linear regression, exploratory statistics, and the analysis of probabilities.
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.
Mean-Square-Error InferenceCovers the concept of mean-square-error inference and optimal estimators for inference problems using different design criteria.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.
Stochastic Models for CommunicationsCovers random vectors, joint probability density, independent random variables, functions of two random variables, and Gaussian random variables.