.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_probabilistic_modeling/distributions/plot_maximum_distribution.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_probabilistic_modeling_distributions_plot_maximum_distribution.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_probabilistic_modeling_distributions_plot_maximum_distribution.py:


Create the distribution of the maximum of independent distributions
===================================================================

.. GENERATED FROM PYTHON SOURCE LINES 6-7

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

.. GENERATED FROM PYTHON SOURCE LINES 9-15

.. code-block:: Python

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

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








.. GENERATED FROM PYTHON SOURCE LINES 16-17

create a collection of distribution

.. GENERATED FROM PYTHON SOURCE LINES 17-21

.. code-block:: Python

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








.. GENERATED FROM PYTHON SOURCE LINES 22-23

create the distribution

.. GENERATED FROM PYTHON SOURCE LINES 23-26

.. code-block:: Python

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





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 27-28

draw PDF

.. GENERATED FROM PYTHON SOURCE LINES 28-31

.. code-block:: Python

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



.. image-sg:: /auto_probabilistic_modeling/distributions/images/sphx_glr_plot_maximum_distribution_001.png
   :alt: plot maximum distribution
   :srcset: /auto_probabilistic_modeling/distributions/images/sphx_glr_plot_maximum_distribution_001.png
   :class: sphx-glr-single-img






.. _sphx_glr_download_auto_probabilistic_modeling_distributions_plot_maximum_distribution.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_maximum_distribution.ipynb <plot_maximum_distribution.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_maximum_distribution.py <plot_maximum_distribution.py>`