Basics of Risk Analysis and ManagementIntroduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.
Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Bayesian Parameter EstimationCovers an example of Bayesian parameter estimation and the trade-off between bias and variance in supervised learning.
Chi-squared Test: Hypothesis TestingIntroduces the chi-squared test for hypothesis testing against theoretical distributions, showcasing its application with dice fairness testing.