Probability and StatisticsIntroduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Calculations of ExpectationCovers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.
Bayesian Estimation: Overview and ExamplesIntroduces Bayesian estimation, covering classical versus Bayesian inference, conjugate priors, MCMC methods, and practical examples like temperature estimation and choice modeling.
MCMC with MetropolisCovers the implementation of Markov Chain Monte Carlo (MCMC) with the Metropolis algorithm for sampling from posterior distributions.
Air Pollution AnalysisExplores air pollution analysis using wind data, probability distributions, and trajectory models for air quality assessment.