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

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_probabilistic_modeling_distributions_plot_conditional_random_vector.py>`
        to download the full example code

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

.. _sphx_glr_auto_probabilistic_modeling_distributions_plot_conditional_random_vector.py:


Create a conditional random vector
==================================

.. GENERATED FROM PYTHON SOURCE LINES 7-12

In this example we are going to build a conditional random vector

.. math::
   \underline{X}|\underline{\Theta}


.. GENERATED FROM PYTHON SOURCE LINES 14-18

.. code-block:: default

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








.. GENERATED FROM PYTHON SOURCE LINES 19-20

create the random vector Theta (parameters of X)

.. GENERATED FROM PYTHON SOURCE LINES 20-25

.. code-block:: default

    gammaDist = ot.Uniform(1.0, 2.0)
    alphaDist = ot.Uniform(0.0, 0.1)
    thetaDist = ot.ComposedDistribution([gammaDist, alphaDist])
    thetaRV = ot.RandomVector(thetaDist)








.. GENERATED FROM PYTHON SOURCE LINES 26-27

create the XgivenTheta distribution

.. GENERATED FROM PYTHON SOURCE LINES 27-29

.. code-block:: default

    XgivenThetaDist = ot.Exponential()








.. GENERATED FROM PYTHON SOURCE LINES 30-31

create the X distribution

.. GENERATED FROM PYTHON SOURCE LINES 31-33

.. code-block:: default

    XDist = ot.ConditionalRandomVector(XgivenThetaDist, thetaRV)








.. GENERATED FROM PYTHON SOURCE LINES 34-35

draw a sample

.. GENERATED FROM PYTHON SOURCE LINES 35-36

.. code-block:: default

    XDist.getSample(5)





.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">
    <TABLE><TR><TD></TD><TH>X0</TH></TR>
    <TR><TH>0</TH><TD>0.1854715</TD></TR>
    <TR><TH>1</TH><TD>0.1560417</TD></TR>
    <TR><TH>2</TH><TD>0.6647259</TD></TR>
    <TR><TH>3</TH><TD>0.4157063</TD></TR>
    <TR><TH>4</TH><TD>0.2783648</TD></TR>
    </TABLE>
    </div>
    <br />
    <br />


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.002 seconds)


.. _sphx_glr_download_auto_probabilistic_modeling_distributions_plot_conditional_random_vector.py:


.. only :: html

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



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

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



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

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


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_