:orphan:

.. _Probabilistic modeling:

Probabilistic modeling
======================



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Distributions
-------------



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    <div class="sphx-glr-thumbcontainer" tooltip="Create your own distribution given its quantile function">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_create_your_own_dist_thumb.svg
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  :doc:`/auto_probabilistic_modeling/distributions/plot_create_your_own_dist`

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      <div class="sphx-glr-thumbnail-title">Create your own distribution given its quantile function</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a compound distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_compound_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_compound_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a compound distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a Joint by Conditioning  distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_bayes_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_bayes_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a Joint by Conditioning  distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create an extreme value distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_create_extreme_value_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_create_extreme_value_distribution`

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      <div class="sphx-glr-thumbnail-title">Create an extreme value distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create and draw scalar distributions">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_create_and_draw_scalar_distributions_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_create_and_draw_scalar_distributions`

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      <div class="sphx-glr-thumbnail-title">Create and draw scalar distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Truncate a  distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_truncated_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_truncated_distribution`

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      <div class="sphx-glr-thumbnail-title">Truncate a  distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a random mixture">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_create_random_mixture_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_create_random_mixture`

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      <div class="sphx-glr-thumbnail-title">Create a random mixture</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Generate random variates by inverting the CDF">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_generate_by_inversion_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_generate_by_inversion`

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      <div class="sphx-glr-thumbnail-title">Generate random variates by inverting the CDF</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a compound random vector">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_compound_random_vector_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_compound_random_vector`

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      <div class="sphx-glr-thumbnail-title">Create a compound random vector</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Transform a distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_distribution_transformation_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_distribution_transformation`

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      <div class="sphx-glr-thumbnail-title">Transform a distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Overview of univariate distribution management">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_overview_univariate_distributions_thumb.svg
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  :doc:`/auto_probabilistic_modeling/distributions/plot_overview_univariate_distributions`

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      <div class="sphx-glr-thumbnail-title">Overview of univariate distribution management</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Distribution manipulation">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_distribution_manipulation_thumb.svg
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  :doc:`/auto_probabilistic_modeling/distributions/plot_distribution_manipulation`

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      <div class="sphx-glr-thumbnail-title">Distribution manipulation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Quick start guide to distributions">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_quick_start_guide_distributions_thumb.svg
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  :doc:`/auto_probabilistic_modeling/distributions/plot_quick_start_guide_distributions`

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      <div class="sphx-glr-thumbnail-title">Quick start guide to distributions</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Create a customized distribution or copula">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_python_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_python_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a customized distribution or copula</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a mixture of distributions">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_mixture_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_mixture_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a mixture of distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create and draw multivariate distributions">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_create_draw_multivariate_distributions_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_create_draw_multivariate_distributions`

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      <div class="sphx-glr-thumbnail-title">Create and draw multivariate distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a Point Conditional Distribution">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_point_conditional_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_point_conditional_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a Point Conditional Distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Draw minimum volume level sets">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_minimum_volume_level_sets_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_minimum_volume_level_sets`

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      <div class="sphx-glr-thumbnail-title">Draw minimum volume level sets</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Compare frequentist and Bayesian estimation">

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  .. image:: /auto_probabilistic_modeling/distributions/images/thumb/sphx_glr_plot_posterior_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/distributions/plot_posterior_distribution`

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      <div class="sphx-glr-thumbnail-title">Compare frequentist and Bayesian estimation</div>
    </div>


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Copulas
-------



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    <div class="sphx-glr-thumbcontainer" tooltip="Create a copula">

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  .. image:: /auto_probabilistic_modeling/copulas/images/thumb/sphx_glr_plot_create_copula_thumb.png
    :alt:

  :doc:`/auto_probabilistic_modeling/copulas/plot_create_copula`

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      <div class="sphx-glr-thumbnail-title">Create a copula</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Extract the copula from a distribution">

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  .. image:: /auto_probabilistic_modeling/copulas/images/thumb/sphx_glr_plot_extract_copula_thumb.png
    :alt:

  :doc:`/auto_probabilistic_modeling/copulas/plot_extract_copula`

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      <div class="sphx-glr-thumbnail-title">Extract the copula from a distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Assemble copulas">

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  .. image:: /auto_probabilistic_modeling/copulas/images/thumb/sphx_glr_plot_composed_copula_thumb.png
    :alt:

  :doc:`/auto_probabilistic_modeling/copulas/plot_composed_copula`

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      <div class="sphx-glr-thumbnail-title">Assemble copulas</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create the ordinal sum of copulas">

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  .. image:: /auto_probabilistic_modeling/copulas/images/thumb/sphx_glr_plot_ordinal_sum_copula_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/copulas/plot_ordinal_sum_copula`

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      <div class="sphx-glr-thumbnail-title">Create the ordinal sum of copulas</div>
    </div>


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Order Statistics
----------------



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    <div class="sphx-glr-thumbcontainer" tooltip="Create a maximum entropy order statistics distribution">

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  .. image:: /auto_probabilistic_modeling/order_statistics/images/thumb/sphx_glr_plot_max_entropy_order_statistics_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/order_statistics/plot_max_entropy_order_statistics_distribution`

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      <div class="sphx-glr-thumbnail-title">Create a maximum entropy order statistics distribution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create the distribution of the maximum of distributions">

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  .. image:: /auto_probabilistic_modeling/order_statistics/images/thumb/sphx_glr_plot_maximum_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/order_statistics/plot_maximum_distribution`

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      <div class="sphx-glr-thumbnail-title">Create the distribution of the maximum of distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Compute the joint distribution of order statistics">

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  .. image:: /auto_probabilistic_modeling/order_statistics/images/thumb/sphx_glr_plot_order_statistics_distribution_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/order_statistics/plot_order_statistics_distribution`

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      <div class="sphx-glr-thumbnail-title">Compute the joint distribution of order statistics</div>
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Random Vectors
--------------



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    <div class="sphx-glr-thumbcontainer" tooltip="Composite random vector">

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  .. image:: /auto_probabilistic_modeling/random_vectors/images/thumb/sphx_glr_plot_composite_random_vector_thumb.png
    :alt:

  :doc:`/auto_probabilistic_modeling/random_vectors/plot_composite_random_vector`

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      <div class="sphx-glr-thumbnail-title">Composite random vector</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a random vector">

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  .. image:: /auto_probabilistic_modeling/random_vectors/images/thumb/sphx_glr_plot_random_vector_manipulation_thumb.png
    :alt:

  :doc:`/auto_probabilistic_modeling/random_vectors/plot_random_vector_manipulation`

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      <div class="sphx-glr-thumbnail-title">Create a random vector</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Use the Ratio of Uniforms algorithm to sample a distribution">

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  .. image:: /auto_probabilistic_modeling/random_vectors/images/thumb/sphx_glr_plot_ratio_of_uniforms_exploitation_thumb.svg
    :alt:

  :doc:`/auto_probabilistic_modeling/random_vectors/plot_ratio_of_uniforms_exploitation`

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      <div class="sphx-glr-thumbnail-title">Use the Ratio of Uniforms algorithm to sample a distribution</div>
    </div>


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    </div>


.. toctree::
   :hidden:
   :includehidden:


   /auto_probabilistic_modeling/distributions/index.rst
   /auto_probabilistic_modeling/copulas/index.rst
   /auto_probabilistic_modeling/order_statistics/index.rst
   /auto_probabilistic_modeling/random_vectors/index.rst