# Composite random vector¶

In this example we are going to create a random variable which realizations are the images of the realizations of another random vector by a function.

[13]:

from __future__ import print_function
import openturns as ot
import math as m

[14]:

# Create a random vector based on a distribution
dist2d = ot.Normal(2)
X = ot.RandomVector(dist2d)

[15]:

# Create the function
f = ot.SymbolicFunction(['x1', 'x2'], ['x1 + x2', 'x1*x2'])
f

[15]:


[x1,x2]->[x1 + x2,x1*x2]

[21]:

# Create the composite random vector
Y = ot.CompositeRandomVector(f, X)

[22]:

Y.getSample(5)

[22]:

 y0 y1 0 0.6340067547705874 -1.738141317991343 1 0.860261107301864 -0.4291467493292659 2 -2.1455645614220247 1.0633942511691827 3 -0.7883451164543616 -0.0922805136143649 4 1.2403961348448758 0.3031904202688173