.. _data_analysis:

Data analysis
=============

This part gives an overview of the content of the statistical toolbox that may be used to build uncertainty models according to the available data.

Comparison of two samples
-------------------------

.. toctree::
    :maxdepth: 1

    qqplot_graph
    smirnov_test

Estimation of a nonparametric model
-----------------------------------

.. toctree::
    :maxdepth: 1

    empirical_cdf
    kernel_smoothing

Estimation of a parametric model
--------------------------------

.. toctree::
    :maxdepth: 1

    maximum_likelihood
    parametric_estimation

Calibration
-----------

.. toctree::
    :maxdepth: 1

    bayesian_calibration
    code_calibration
    gaussian_calibration
    metropolis_hastings

Analysis of the goodness of fit of a parametric model
-----------------------------------------------------

.. toctree::
    :maxdepth: 1

    graphical_fitting_test
    chi2_fitting_test
    kolmogorov_test
    cramer_vonmises_test
    anderson_darling_test
    aic
    bic

Detection and quantification of dependencies
--------------------------------------------

.. toctree::
    :maxdepth: 1

    pearson_coefficient
    pearson_test
    spearman_coefficient
    spearman_test
    chi2_independence_test
    tail_dependence

Regression
----------

.. toctree::
    :maxdepth: 1


    linear_regression
    regression_analysis

Estimation of a quantile confidence interval
--------------------------------------------

.. toctree::
    :maxdepth: 1

    quantile_confidence_estimation
    quantile_asymptotic_confidence_estimation

