Note

Go to the end to download the full example code.

# Create an event based on a processΒΆ

This example gives elements to create an event based on a multivariate stochastic process. Let be a stochastic process of dimension , where is discretized on the mesh . We suppose that contains vertices.

We define the event as:

where is a domain of .

A particular domain is the cartesian product of type:

In that case, the library defines by its both extreme points : and .

In the general case, is a *Domain* object that is able to
check if it contains a given point in .

The library creates an *Event* object from the process and the
domain . Then, it is possible to get a realization of the event
, which is scalar
if is a realization of on
.

```
import openturns as ot
ot.Log.Show(ot.Log.NONE)
```

Define a 2-d mesh

```
indices = [40, 20]
mesher = ot.IntervalMesher(indices)
lowerBound = [0.0, 0.0]
upperBound = [2.0, 1.0]
interval = ot.Interval(lowerBound, upperBound)
mesh = mesher.build(interval)
```

Create the covariance model

```
amplitude = [1.0, 2.0, 3.0]
scale = [4.0, 5.0]
spatialCorrelation = ot.CorrelationMatrix(3)
spatialCorrelation[0, 1] = 0.8
spatialCorrelation[0, 2] = 0.6
spatialCorrelation[1, 2] = 0.1
covmodel = ot.ExponentialModel(scale, amplitude, spatialCorrelation)
# Create a normal process
process = ot.GaussianProcess(covmodel, mesh)
```

Create a domain A in R^3: [0.8; 1.2]*[1.5; 1.6]*[0.5; 0.7]

```
lowerBound = [0.8, 1.5, 0.5]
upperBound = [1.2, 1.6, 0.7]
domain = ot.Interval(lowerBound, upperBound)
# Create the event
event = ot.ProcessEvent(process, domain)
```