Create the distribution of the maximum of independent distributions

In this example we are going to build the distribution of the maximum of independent distributions.

import openturns as ot
import openturns.viewer as viewer
from matplotlib import pylab as plt

ot.Log.Show(ot.Log.NONE)

Create a collection of distributions

distribution1 = ot.Normal()
distribution2 = ot.Uniform(-1.0, 2.0)
distColl = [distribution1, distribution2]

Create the distribution

distribution = ot.MaximumDistribution(distColl)
print(distribution)

MaximumDistribution(JointDistribution(Normal(mu = 0, sigma = 1), Uniform(a = -1, b = 2), IndependentCopula(dimension = 2)))

Draw PDF

graph = distribution.drawPDF()
view = viewer.View(graph)
plt.show()