Statistics Essentials: The t-testIntroduces the t-test for assessing categorical effects on quantitative outcomes, covering hypothesis testing, assumptions, and alternative tests.
Detection & EstimationCovers the fundamentals of detection and estimation theory, focusing on mean-squared error and hypothesis testing.
Linear Regression: SimpleIntroduces simple linear regression, properties of residuals, variance decomposition, and the coefficient of determination in the context of Okun's law.
Advanced Probability: SummaryCovers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.
Mean-Square-Error InferenceCovers the concept of mean-square-error inference and optimal estimators for inference problems using different design criteria.
Linear Regression BasicsCovers the basics of linear regression in machine learning, including model training, loss functions, and evaluation metrics.
Model Selection in StatisticsExplores model selection in statistics, discussing principles, probabilistic models, characteristics evaluation, and data visualization methods.