Transformations of VariablesCovers the calculation of cumulative distribution functions and probability density functions for transformed random variables.
Basics of Risk Analysis and ManagementIntroduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.
Monte-Carlo IntegrationCovers Monte-Carlo integration, simulation, and transforming draws from different distributions.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Probability and StatisticsCovers p-quantile, normal approximation, joint distributions, and exponential families in probability and statistics.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.