Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Concentration InequalitiesCovers concentration inequalities and sampling methods for estimating unknown distributions, with a focus on population infection rates.
Maximum Likelihood EstimationCovers Maximum Likelihood Estimation, focusing on ML Estimation-Distribution, Shrinkage Estimation, and Loss functions.
Bayesian EstimationCovers the fundamentals of Bayesian estimation, focusing on the application of Bayes' Theorem in scalar estimation.
Probability and StatisticsCovers inequalities, joint Gaussian distribution, risk estimation, and classification method testing in probability and statistics.
Air Pollution AnalysisExplores air pollution analysis using wind data, probability distributions, and trajectory models for air quality assessment.
Markov Chains: Transition DensitiesCovers Markov processes, transition densities, and distribution conditional on information, discussing classification of states and stationary distributions.
Maximum Likelihood EstimationDelves into maximum likelihood estimators, their properties, and asymptotic behavior, emphasizing consistency and asymptotic normality.
Probability and StatisticsCovers Simpson's paradox, probability distributions, and real-life examples in probability and statistics.