Uncertainty Analysis for Engineers
These slides are from a course I teach at the University of Wisconsin - Madison. The course is taught to senior level engineering students.
- Introduction
- Sources of Uncertainty
- Review of Probability
- Probability Review (Examples)
- Histograms
- Probability Distribution Functions
- Continuous Distributions
- Discrete Distributions
- Distribution Function Examples
- Functions of Random Variables
- Summary Statistics
- Monte Carlo Simulation
- Latin Hypercube Sampling
- Latin Hypercube Sampling Example
- Monte Carlo for Reliability Analysis
- Monte Carlo in Excel
- Introduction to VBA (Excel Macros)
- Statistical Inference
- Probability Plots
- Probability Plot Example
- Fitting Distributions in Matlab
- Sensitivity Analysis
- Sensitivity Example
- A Case Study
- Regression
- Bayesian Approaches