Reliability, sensitivity

Central dispersion

• Central tendency analysis on the cantilever beam example
• Estimate moments from Taylor expansions

Reliability

• Estimate a probability with Monte-Carlo on axial stressed beam: a quick start guide to reliability
• Axial stressed beam : comparing different methods to estimate a probability
• Estimate a flooding probability
• Estimate a probability with Monte Carlo
• Estimate a probability with Latin Hypercube Sampling
• Probability estimation with importance sampling simulation on cantilever beam example
• Probability estimation: directional simulation
• Estimate a probability using randomized QMC
• Parametrization of a simulation algorithm
• Exploitation of simulation algorithm results
• Estimate a probability with FORM
• Strong Maximum Test design point validation
• Post analytical importance sampling
• System events: unions or intersections of events
• Event manipulation

Reliabiliy: processes

• Create an event based on a process
• Estimate a process event probability

Sensitivity analysis

• Estimate Sobol’ indices for the Ishigami function by a sampling method: a quick start guide to sensitivity analysis
• Sobol’ sensitivity indices from chaos
• ANCOVA sensitivity indices
• FAST sensitivity indices
• Cobweb graph as sensitivity tool

Design of experiments

• Create a Monte Carlo design of experiments
• Create a composite design of experiments
• Create a Gauss product design
• Generate low discrepancy sequences
• Deterministic design of experiments
• Probabilistic design of experiments
• Mixed deterministic and probabilistic design of experiments
• Optimal LHS designs
• Create a design of experiments with discrete and continuous variables