Reliability

INTRODUCTION
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)
Monty Hall
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)
Plot Distributions (Screenshot)
Variable Inference (Screenshot)
Model Inference (Screenshot)
Spectrum Realizations (Screenshot)
Remove Residuals (Screenshot)
Filtered White Noise Realizations (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
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)
G2 Example 17 (Finite element reliability analysis with FOSM and DDM)
Portwood Digital (external link)
Reliability Analysis in OpenSees
DECISIONS
Notes
Decision Criteria
Discounting
Examples
The St Petersburg Paradox