Resources

covered subject areas

STRUREL (4 entries)

Expand your knowledge through our resources. Try our online tools and start reading our articles about probabilistic modeling, machine learning, risk assessment, uncertainty quantification and other fundamental topics. Here are the resources you need to get started dealing with uncertainties that arise in your day-to-day projects.

Reliability analysis

What is FORM?

FORM is a structural reliability analysis method that approximates the probability of failure by linearizing the limit state function around the design point.

Probabilistic modeling

What is the underlying standard Normal space?

The uncertain model parameters are transformed into independent standard Normal random variables. For the performance and stability of numerical algorithms, performing such a transformation step is sometimes preferable.

Sensitivity analysis

How do local and global sensitivity analysis differ?

Local sensitivity analysis assesses the influence of the input on the output around a specific point. Global sensitivity analysis assesses the influence of the uncertainty about the input on the output over the entire range of the input parameters.

Reliability analysis

What is the most likely failure point?

It is the point in the failure domain that has the smallest distance to the origin in standard Normal space. This point is also referred to as design point.

Reliability analysis

How is the reliability index linked to the probability of failure?

The reliability index is directly linked to the probability of failure through the negative of the inverse CDF of the standard Normal distribution.

Sensitivity analysis

What is sensitivity analysis?

Sensitivity analysis assesses how the input parameters and their uncertainties influence the model output. It is essential to define the goal of the analysis as the first step of any sensitivity analysis.

ONLINE TOOL

Probabilistic modeling

Poisson process: post-processing

Use our web app to quantify the uncertainty about the rate of a Poisson process based on observing a specific number of event occurrences within a given time.

try it ...

ONLINE TOOL

Probabilistic modeling

Poisson process: estimate required experiment duration

Use our web app to decide how long an experiment needs to run in order to demonstrate that your system is reliable.

try it ...

Probabilistic modeling

For how long do you need to observe a Poisson process to ensure that its rate is smaller than a specified threshold?

With assumptions on how many events will occur, one can determine the time required to demonstrate that the rate is below a target value with a specified credible level.

Probabilistic modeling

What conclusions can we draw if we did not observe any occurrences of a Poisson process within a given time interval?

Using a Bayesian post-processing strategy, the uncertainty about the rate of a Poisson process can be fully quantified even if no occurrences were observed.

covered subject areas

Reliability analysis (16 entries)

Sensitivity analysis (11 entries)

Probabilistic modeling (10 entries)

STRUREL (4 entries)

Machine learning (2 entries)

Eracons GmbH

info@eracons.com
+49 (0)89 21709083