- PROBABILITIES
- Notes
- Uncertainty
- Set Theory
- Probability Theory
- Examples
- Applying the Rules of Probability
- Chevalier de Meres First Problem
- Chevalier de Meres Second Problem
- Probability of Cancelled Meeting
- Python (note)
- MontyHall.py
- ThrowDice.py
- PROBABILISTIC MODELS
- Notes
- Random Variables
- Hazard Curves and Fragility Functions
- Bernoulli Sequences
- Poisson Processes
- Continuous Stochastic Processes
- Linear Regression Models
- Damage Accumulation Models
- Size Effect Models
- Bayesian Network Models
- Bayesian Hierarchical Models
- Examples
- Probability Distributions from Geometry
- Integrating Fragility and Hazard Functions
- Bernoulli Occurrences
- Poisson Occurrences
- Confidence in Number of Ground Motions
- Stochastic Process Realizations
- Python (note)
- PlotDistributions.py (Screenshot)
- TotalProbabilityIntegration.py (Screenshot)
- VariableInference.py (Screenshot)
- ModelInference.py (Screenshot)
- SpectrumRealizations.py (Screenshot)
- RemoveResiduals.py (Screenshot)
- FilteredWhiteNoiseRealizations.py (Screenshot)
- PROBABILISTIC METHODS
- Notes
- Functions and Transformations
- FOSM, FORM, SORM
- Sampling
- System Reliability
- Load Combination
- Code Calibration
- Stochastic Dynamics
- Fatigue
- Examples
- Invariance Problem (No correlation)
- Basic Limit-state Function
- Quadratic Limit-state Function
- CalREL Limit-state Function
- Random Vibrations with Gaussian Process
- Python (note)
- CholeskyAlgorithm.py
- SecondMomentAnalysis.py
- FOSMAnalysis.py
- FORMAnalysis.py (Screenshot) needs LineSearchAlgorithms.py and ModifyCorrelationMatrix.py and NatafTransformation.py
- SamplingAnalysis.py (Screenshot) needs ModifyCorrelationMatrix.py and NatafTransformation.py
- Visualize-MCS-FOSM-IS.py (Screenshot)
- TwoComponentParallelProbability.py
- G2 Example 17 (Finite element reliability analysis with FOSM and DDM)
- Portwood Digital (external links)
- Reliability Analysis in OpenSees I
- Reliability Analysis in OpenSees II
- DECISION-MAKING & OPTIMIZATION
- Notes
- Decision Criteria
- Discounting
- 1D Optimization Algorithms
- Multivariate Optimization Algorithms
- Examples
- Pile Selection
- The St Petersburg Paradox
- Farmer’s Dilemma
- Python (note)
- DownhillSimplexOptimizationAnalysis.py (Screenshot)
- DirectionalLineSearchOptimizationAnalysis.py
- 1DOptimizationAnalysis.py (Screenshot) needs LineSearchAlgorithms.py