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.. _book_fig_chapter3:

Chapter 3: Probability and Statistical Distributions
----------------------------------------------------
This chapter discusses basic foundational principles, including probability
and basic descriptive statistics. It also introduces several important
probability distribution functions.




.. toctree::
   :maxdepth: 2






.. toctree::
   :hidden:

   ./fig_prob_sum

   ./fig_conditional_probability

   ./fig_contingency_table

   ./fig_transform_distribution

   ./fig_flux_errors

   ./fig_kurtosis_skew

   ./fig_uniform_distribution

   ./fig_gaussian_distribution

   ./fig_binomial_distribution

   ./fig_poisson_distribution

   ./fig_cauchy_distribution

   ./fig_cauchy_median_mean

   ./fig_laplace_distribution

   ./fig_chi2_distribution

   ./fig_student_t_distribution

   ./fig_fisher_f_distribution

   ./fig_beta_distribution

   ./fig_gamma_distribution

   ./fig_weibull_distribution

   ./fig_central_limit

   ./fig_uniform_mean

   ./fig_bivariate_gaussian

   ./fig_robust_pca

   ./fig_correlations

   ./fig_clone_distribution



.. figure:: ./../images/chapter3/fig_prob_sum_1_thumb.png
    :target: ./fig_prob_sum.html
    :align: center

    :ref:`book_fig_chapter3_fig_prob_sum`

.. figure:: ./../images/chapter3/fig_conditional_probability_1_thumb.png
    :target: ./fig_conditional_probability.html
    :align: center

    :ref:`book_fig_chapter3_fig_conditional_probability`

.. figure:: ./../images/chapter3/fig_contingency_table_1_thumb.png
    :target: ./fig_contingency_table.html
    :align: center

    :ref:`book_fig_chapter3_fig_contingency_table`

.. figure:: ./../images/chapter3/fig_transform_distribution_1_thumb.png
    :target: ./fig_transform_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_transform_distribution`

.. figure:: ./../images/chapter3/fig_flux_errors_1_thumb.png
    :target: ./fig_flux_errors.html
    :align: center

    :ref:`book_fig_chapter3_fig_flux_errors`

.. figure:: ./../images/chapter3/fig_kurtosis_skew_1_thumb.png
    :target: ./fig_kurtosis_skew.html
    :align: center

    :ref:`book_fig_chapter3_fig_kurtosis_skew`

.. figure:: ./../images/chapter3/fig_uniform_distribution_1_thumb.png
    :target: ./fig_uniform_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_uniform_distribution`

.. figure:: ./../images/chapter3/fig_gaussian_distribution_1_thumb.png
    :target: ./fig_gaussian_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_gaussian_distribution`

.. figure:: ./../images/chapter3/fig_binomial_distribution_1_thumb.png
    :target: ./fig_binomial_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_binomial_distribution`

.. figure:: ./../images/chapter3/fig_poisson_distribution_1_thumb.png
    :target: ./fig_poisson_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_poisson_distribution`

.. figure:: ./../images/chapter3/fig_cauchy_distribution_1_thumb.png
    :target: ./fig_cauchy_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_cauchy_distribution`

.. figure:: ./../images/chapter3/fig_cauchy_median_mean_1_thumb.png
    :target: ./fig_cauchy_median_mean.html
    :align: center

    :ref:`book_fig_chapter3_fig_cauchy_median_mean`

.. figure:: ./../images/chapter3/fig_laplace_distribution_1_thumb.png
    :target: ./fig_laplace_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_laplace_distribution`

.. figure:: ./../images/chapter3/fig_chi2_distribution_1_thumb.png
    :target: ./fig_chi2_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_chi2_distribution`

.. figure:: ./../images/chapter3/fig_student_t_distribution_1_thumb.png
    :target: ./fig_student_t_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_student_t_distribution`

.. figure:: ./../images/chapter3/fig_fisher_f_distribution_1_thumb.png
    :target: ./fig_fisher_f_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_fisher_f_distribution`

.. figure:: ./../images/chapter3/fig_beta_distribution_1_thumb.png
    :target: ./fig_beta_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_beta_distribution`

.. figure:: ./../images/chapter3/fig_gamma_distribution_1_thumb.png
    :target: ./fig_gamma_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_gamma_distribution`

.. figure:: ./../images/chapter3/fig_weibull_distribution_1_thumb.png
    :target: ./fig_weibull_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_weibull_distribution`

.. figure:: ./../images/chapter3/fig_central_limit_1_thumb.png
    :target: ./fig_central_limit.html
    :align: center

    :ref:`book_fig_chapter3_fig_central_limit`

.. figure:: ./../images/chapter3/fig_uniform_mean_1_thumb.png
    :target: ./fig_uniform_mean.html
    :align: center

    :ref:`book_fig_chapter3_fig_uniform_mean`

.. figure:: ./../images/chapter3/fig_bivariate_gaussian_1_thumb.png
    :target: ./fig_bivariate_gaussian.html
    :align: center

    :ref:`book_fig_chapter3_fig_bivariate_gaussian`

.. figure:: ./../images/chapter3/fig_robust_pca_1_thumb.png
    :target: ./fig_robust_pca.html
    :align: center

    :ref:`book_fig_chapter3_fig_robust_pca`

.. figure:: ./../images/chapter3/fig_correlations_1_thumb.png
    :target: ./fig_correlations.html
    :align: center

    :ref:`book_fig_chapter3_fig_correlations`

.. figure:: ./../images/chapter3/fig_clone_distribution_1_thumb.png
    :target: ./fig_clone_distribution.html
    :align: center

    :ref:`book_fig_chapter3_fig_clone_distribution`





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