# 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 Use the Importance Sampling algorithm

Use the Importance Sampling algorithm Create a threshold event

Create a threshold event 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 Non parametric Adaptive Importance Sampling (NAIS)

Non parametric Adaptive Importance Sampling (NAIS) Subset Sampling

Subset Sampling Use the FORM - SORM algorithms

Use the FORM - SORM algorithms Create a domain event

Create a domain event 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 Cross Entropy Importance Sampling

Cross Entropy Importance Sampling

## 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 Estimate Sobol indices on a field to point function

Estimate Sobol indices on a field to point function

## 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 The HSIC sensitivity indices: the Ishigami model

The HSIC sensitivity indices: the Ishigami model Example of sensitivity analyses on the wing weight model

Example of sensitivity analyses on the wing weight model

## 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 Plot Smolyak multi-indices

Plot Smolyak multi-indices 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   