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.

from __future__ import print_function
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 distribution

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

create the distribution

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

Out:

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

draw PDF

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