OpenTURNS

An Open source initiative for the Treatment of Uncertainties, Risks'N Statistics

Reliability & Sensitivity¶

Central dispersion¶

Evaluate the mean of a random vector by simulations — Evaluate the mean of a random vector by simulations¶

Analyse the central tendency of a cantilever beam — Analyse the central tendency of a cantilever beam¶

Estimate moments from Taylor expansions — Estimate moments from Taylor expansions¶

Reliability¶

Estimate a probability with Latin Hypercube Sampling — Estimate a probability with Latin Hypercube Sampling¶

Simulate an Event — Simulate an Event¶

Estimate a probability with Monte Carlo — Estimate a probability with Monte Carlo¶

Use a randomized QMC algorithm — Use a randomized QMC algorithm¶

Use the Adaptive Directional Stratification Algorithm — Use the Adaptive Directional Stratification Algorithm¶

Use the post-analytical importance sampling algorithm — Use the post-analytical importance sampling algorithm¶

Use the Directional Sampling Algorithm — Use the Directional Sampling Algorithm¶

Estimate a flooding probability — Estimate a flooding probability¶

Specify a simulation algorithm — Specify a simulation algorithm¶

Create a threshold event — Create a threshold event¶

Use the Importance Sampling algorithm — Use the Importance Sampling algorithm¶

Estimate a probability with Monte-Carlo on axial stressed beam: a quick start guide to reliability — Estimate a probability with Monte-Carlo on axial stressed beam: a quick start guide to reliability¶

Exploitation of simulation algorithm results — Exploitation of simulation algorithm results¶

Use the FORM algorithm in case of several design points — Use the FORM algorithm in case of several design points¶

Create a domain event — Create a domain event¶

Subset Sampling — Subset Sampling¶

Use the FORM - SORM algorithms — Use the FORM - SORM algorithms¶

Test the design point with the Strong Maximum Test — Test the design point with the Strong Maximum Test¶

Time variant system reliability problem — Time variant system reliability problem¶

Axial stressed beam : comparing different methods to estimate a probability — Axial stressed beam : comparing different methods to estimate a probability¶

Create unions or intersections of events — Create unions or intersections of events¶

An illustrated example of a FORM probability estimate — An illustrated example of a FORM probability estimate¶

Reliability processes¶

Create an event based on a process — Create an event based on a process¶

Estimate a process-based event probability — Estimate a process-based event probability¶

Sensitivity analysis¶

FAST sensitivity indices — FAST sensitivity indices¶

Parallel coordinates graph as sensitivity tool — Parallel coordinates graph as sensitivity tool¶

Estimate Sobol' indices for a function with multivariate output — Estimate Sobol’ indices for a function with multivariate output¶

Sobol' sensitivity indices from chaos — Sobol’ sensitivity indices from chaos¶

Use the ANCOVA indices — Use the ANCOVA indices¶

Estimate Sobol' indices for the Ishigami function by a sampling method: a quick start guide to sensitivity analysis — Estimate Sobol’ indices for the Ishigami function by a sampling method: a quick start guide to sensitivity analysis¶

Design of experiments¶

Create a composite design of experiments — Create a composite design of experiments¶

Create a Monte Carlo design of experiments — Create a Monte Carlo design of experiments¶

Probabilistic design of experiments — Probabilistic design of experiments¶

Create a Gauss product design — Create a Gauss product design¶

Create a random design of experiments — Create a random design of experiments¶

Create mixed deterministic and probabilistic designs of experiments — Create mixed deterministic and probabilistic designs of experiments¶

Create a design of experiments with discrete and continuous variables — Create a design of experiments with discrete and continuous variables¶

The PlotDesign method — The PlotDesign method¶

Deterministic design of experiments — Deterministic design of experiments¶

Create a deterministic design of experiments — Create a deterministic design of experiments¶

Various design of experiments in OpenTURNS — Various design of experiments in OpenTURNS¶

Generate low discrepancy sequences — Generate low discrepancy sequences¶

Optimize an LHS design of experiments — Optimize an LHS design of experiments¶