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Quantifying Statistical Dependence: Covariance and Correlation
Explores covariance, correlation, and mutual information in quantifying statistical dependence between random variables.
Elements of Statistics: Estimation & Distributions
Covers fundamental statistics concepts, including estimation theory, distributions, and the law of large numbers, with practical examples.
Principal Component Analysis: Olympic Medals & Image Compression
Explores PCA for predicting medals distribution and compressing face images.
Elements of Statistics: Probability, Distributions, and Estimation
Covers probability theory, distributions, and estimation in statistics, emphasizing accuracy, precision, and resolution of measurements.
Principal Component Analysis: Dimension Reduction
Covers Principal Component Analysis for dimension reduction in biological data, focusing on visualization and pattern identification.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Advanced Probabilities: Random Variables & Expected Values
Explores advanced probabilities, random variables, and expected values, with practical examples and quizzes to reinforce learning.
Propagation of Uncertainty: Estimation and Distribution
Discusses estimation and propagation of uncertainty in random variables and the importance of managing uncertainty in statistical analysis.
Probability Models: Fundamentals
Introduces the basics of probability models, covering random variables, distributions, and statistical estimation.
Dependence in Random Vectors
Explores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.