.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_probabilistic_modeling/stochastic_processes/plot_add_trend.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_stochastic_processes_plot_add_trend.py>`
        to download the full example code

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

.. _sphx_glr_auto_probabilistic_modeling_stochastic_processes_plot_add_trend.py:


Add a trend to a process
========================

.. GENERATED FROM PYTHON SOURCE LINES 6-13

In this example we are going to add a trend to a process.

The TrendTransform class enables to create a new process Y from a process X (no hypothesis on X needed):

.. math::
   Y(\omega, t) = X(\omega, t) + f(t)


.. GENERATED FROM PYTHON SOURCE LINES 15-21

.. 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 22-23

Create a process

.. GENERATED FROM PYTHON SOURCE LINES 23-29

.. code-block:: Python

    grid = ot.RegularGrid(0.0, 0.1, 10)
    amplitude = [5.0]
    scale = [0.2]
    covModel = ot.ExponentialModel(scale, amplitude)
    X = ot.GaussianProcess(covModel, grid)








.. GENERATED FROM PYTHON SOURCE LINES 30-31

Draw a sample

.. GENERATED FROM PYTHON SOURCE LINES 31-36

.. code-block:: Python

    sample = X.getSample(6)
    sample.setName("X")
    graph = sample.drawMarginal(0)
    view = viewer.View(graph)




.. image-sg:: /auto_probabilistic_modeling/stochastic_processes/images/sphx_glr_plot_add_trend_001.png
   :alt: X - 0 marginal
   :srcset: /auto_probabilistic_modeling/stochastic_processes/images/sphx_glr_plot_add_trend_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 37-38

Define a trend function

.. GENERATED FROM PYTHON SOURCE LINES 38-41

.. code-block:: Python

    f = ot.SymbolicFunction(["t"], ["30*t"])
    fTrend = ot.TrendTransform(f, grid)








.. GENERATED FROM PYTHON SOURCE LINES 42-43

Add it to the process

.. GENERATED FROM PYTHON SOURCE LINES 43-46

.. code-block:: Python

    Y = ot.CompositeProcess(fTrend, X)
    Y.setName("Y")








.. GENERATED FROM PYTHON SOURCE LINES 47-48

Draw a sample

.. GENERATED FROM PYTHON SOURCE LINES 48-53

.. code-block:: Python

    sample = Y.getSample(6)
    sample.setName("Y")
    graph = sample.drawMarginal(0)
    view = viewer.View(graph)
    plt.show()



.. image-sg:: /auto_probabilistic_modeling/stochastic_processes/images/sphx_glr_plot_add_trend_002.png
   :alt: Y - 0 marginal
   :srcset: /auto_probabilistic_modeling/stochastic_processes/images/sphx_glr_plot_add_trend_002.png
   :class: sphx-glr-single-img






.. _sphx_glr_download_auto_probabilistic_modeling_stochastic_processes_plot_add_trend.py:

.. only:: html

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

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

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

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

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