:orphan: .. _Data analysis: Data analysis ============= .. raw:: html
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Manage data and samples ----------------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_sample_pandas_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_sample_pandas.py` .. raw:: html
Link Pandas and OpenTURNS
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_randomize_sample_lines_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_randomize_sample_lines.py` .. raw:: html
Randomize the lines of a Sample
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_import_export_sample_csv_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_import_export_sample_csv.py` .. raw:: html
Import / export a sample via a CSV file
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_estimate_moments_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_estimate_moments.py` .. raw:: html
Estimate moments from sample
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_sample_manipulation_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_sample_manipulation.py` .. raw:: html
Sample manipulation
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_sort_sample_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_sort_sample.py` .. raw:: html
Sort a sample
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_quick_start_point_and_sample_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_quick_start_point_and_sample.py` .. raw:: html
A quick start guide to the Point and Sample classes
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_quantile_estimation_wilks_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_quantile_estimation_wilks.py` .. raw:: html
Estimate Wilks and empirical quantile
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_linear_regression_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_linear_regression.py` .. raw:: html
Build and validate a linear model
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.. only:: html .. image:: /auto_data_analysis/manage_data_and_samples/images/thumb/sphx_glr_plot_sample_correlation_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_manage_data_and_samples_plot_sample_correlation.py` .. raw:: html
Estimate correlation coefficients
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Sample analysis --------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/sample_analysis/images/thumb/sphx_glr_plot_visualize_histogram_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_sample_analysis_plot_visualize_histogram.py` .. raw:: html
Draw an histogram
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.. only:: html .. image:: /auto_data_analysis/sample_analysis/images/thumb/sphx_glr_plot_visualize_empirical_cdf_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_sample_analysis_plot_visualize_empirical_cdf.py` .. raw:: html
Draw the empirical CDF
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.. only:: html .. image:: /auto_data_analysis/sample_analysis/images/thumb/sphx_glr_plot_compare_unconditional_conditional_histograms_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_sample_analysis_plot_compare_unconditional_conditional_histograms.py` .. raw:: html
Compare unconditional and conditional histograms
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.. only:: html .. image:: /auto_data_analysis/sample_analysis/images/thumb/sphx_glr_plot_src_confidence_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_sample_analysis_plot_src_confidence.py` .. raw:: html
Compute squared SRC indices confidence intervals
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.. only:: html .. image:: /auto_data_analysis/sample_analysis/images/thumb/sphx_glr_plot_draw_survival_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_sample_analysis_plot_draw_survival.py` .. raw:: html
Draw a survival function
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Distribution fitting -------------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_maximumlikelihood_estimator_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_maximumlikelihood_estimator.py` .. raw:: html
Fit a distribution by maximum likelihood
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_normal_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_normal.py` .. raw:: html
Fit a parametric distribution
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_model_singular_multivariate_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_model_singular_multivariate_distribution.py` .. raw:: html
Model a singular multivariate distribution
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_quantilematching_estimator_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_quantilematching_estimator.py` .. raw:: html
Define a distribution from quantiles
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_asymptotic_estimators_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_asymptotic_estimators_distribution.py` .. raw:: html
Get the asymptotic distribution of the estimators
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_gev_venice_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_gev_venice.py` .. raw:: html
Estimate a GEV on the Venice sea-levels data
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_smoothing_mixture_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_smoothing_mixture.py` .. raw:: html
Bandwidth sensitivity in kernel smoothing
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_fit_extreme_value_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_fit_extreme_value_distribution.py` .. raw:: html
Fit an extreme value distribution
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_conditional_quantile_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_conditional_quantile.py` .. raw:: html
Estimate a conditional quantile
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_multivariate_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_multivariate_distribution.py` .. raw:: html
Estimate a multivariate distribution
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_non_parametric_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_non_parametric_distribution.py` .. raw:: html
Fit a non parametric distribution
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_advanced_mle_estimator_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_advanced_mle_estimator.py` .. raw:: html
Fitting a distribution with customized maximum likelihood
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_gev_pirie_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_gev_pirie.py` .. raw:: html
Estimate a GEV on the Port Pirie sea-levels data
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_gev_fremantle_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_gev_fremantle.py` .. raw:: html
Estimate a GEV on the Fremantle sea-levels data
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.. only:: html .. image:: /auto_data_analysis/distribution_fitting/images/thumb/sphx_glr_plot_estimate_gev_racetime_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_distribution_fitting_plot_estimate_gev_racetime.py` .. raw:: html
Estimate a GEV on race times data
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Statistical tests ----------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_chi2_fitting_test_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_chi2_fitting_test.py` .. raw:: html
Test a discrete distribution
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_qqplot_graph_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_qqplot_graph.py` .. raw:: html
Draw the QQ-Plot
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_kolmogorov_test_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_kolmogorov_test.py` .. raw:: html
Use the Kolmogorov/Lilliefors test
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_smirnov_test_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_smirnov_test.py` .. raw:: html
Test identical distributions
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_fitted_distribution_ranking_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_fitted_distribution_ranking.py` .. raw:: html
Select fitted distributions
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_test_normality_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_test_normality.py` .. raw:: html
Test Normality
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_test_independence_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_test_independence.py` .. raw:: html
Test independence
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_test_copula_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_test_copula.py` .. raw:: html
Test the copula
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_kolmogorov_statistics_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_kolmogorov_statistics.py` .. raw:: html
Kolmogorov-Smirnov : understand the statistics
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_kolmogorov_pvalue_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_kolmogorov_pvalue.py` .. raw:: html
Kolmogorov-Smirnov : understand the p-value
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.. only:: html .. image:: /auto_data_analysis/statistical_tests/images/thumb/sphx_glr_plot_kolmogorov_distribution_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_statistical_tests_plot_kolmogorov_distribution.py` .. raw:: html
Kolmogorov-Smirnov : get the statistics distribution
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Estimate dependency and copulas ------------------------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/estimate_dependency_and_copulas/images/thumb/sphx_glr_plot_estimate_copula_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_dependency_and_copulas_plot_estimate_copula.py` .. raw:: html
Fit a parametric copula
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.. only:: html .. image:: /auto_data_analysis/estimate_dependency_and_copulas/images/thumb/sphx_glr_plot_estimate_non_parametric_copula_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_dependency_and_copulas_plot_estimate_non_parametric_copula.py` .. raw:: html
Fit a non parametric copula
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.. only:: html .. image:: /auto_data_analysis/estimate_dependency_and_copulas/images/thumb/sphx_glr_plot_estimate_dependence_wavesurge_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_dependency_and_copulas_plot_estimate_dependence_wavesurge.py` .. raw:: html
Estimate tail dependence coefficients on the wave-surge data
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.. only:: html .. image:: /auto_data_analysis/estimate_dependency_and_copulas/images/thumb/sphx_glr_plot_estimate_dependence_wind_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_dependency_and_copulas_plot_estimate_dependence_wind.py` .. raw:: html
Estimate tail dependence coefficients on the wind data
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Estimate stochastic processes ----------------------------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/estimate_stochastic_processes/images/thumb/sphx_glr_plot_estimate_multivariate_arma_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_stochastic_processes_plot_estimate_multivariate_arma.py` .. raw:: html
Estimate a multivariate ARMA process
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.. only:: html .. image:: /auto_data_analysis/estimate_stochastic_processes/images/thumb/sphx_glr_plot_estimate_non_stationary_covariance_model_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_stochastic_processes_plot_estimate_non_stationary_covariance_model.py` .. raw:: html
Estimate a non stationary covariance function
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.. only:: html .. image:: /auto_data_analysis/estimate_stochastic_processes/images/thumb/sphx_glr_plot_estimate_arma_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_stochastic_processes_plot_estimate_arma.py` .. raw:: html
Estimate a scalar ARMA process
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.. only:: html .. image:: /auto_data_analysis/estimate_stochastic_processes/images/thumb/sphx_glr_plot_estimate_spectral_density_function_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_stochastic_processes_plot_estimate_spectral_density_function.py` .. raw:: html
Estimate a spectral density function
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.. only:: html .. image:: /auto_data_analysis/estimate_stochastic_processes/images/thumb/sphx_glr_plot_estimate_stationary_covariance_model_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_estimate_stochastic_processes_plot_estimate_stationary_covariance_model.py` .. raw:: html
Estimate a stationary covariance function
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Graphics -------- .. raw:: html
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.. only:: html .. image:: /auto_data_analysis/graphics/images/thumb/sphx_glr_plot_visualize_pairs_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_graphics_plot_visualize_pairs.py` .. raw:: html
Visualize pairs
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.. only:: html .. image:: /auto_data_analysis/graphics/images/thumb/sphx_glr_plot_visualize_clouds_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_graphics_plot_visualize_clouds.py` .. raw:: html
Visualize clouds
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.. only:: html .. image:: /auto_data_analysis/graphics/images/thumb/sphx_glr_plot_sensitivity_par_coo_ishigami_thumb.png :alt: :ref:`sphx_glr_auto_data_analysis_graphics_plot_sensitivity_par_coo_ishigami.py` .. raw:: html
Visualize sensitivity
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.. toctree:: :hidden: :includehidden: /auto_data_analysis/manage_data_and_samples/index.rst /auto_data_analysis/sample_analysis/index.rst /auto_data_analysis/distribution_fitting/index.rst /auto_data_analysis/statistical_tests/index.rst /auto_data_analysis/estimate_dependency_and_copulas/index.rst /auto_data_analysis/estimate_stochastic_processes/index.rst /auto_data_analysis/graphics/index.rst .. only:: html .. container:: sphx-glr-footer sphx-glr-footer-gallery .. container:: sphx-glr-download sphx-glr-download-python :download:`Download all examples in Python source code: auto_data_analysis_python.zip ` .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download all examples in Jupyter notebooks: auto_data_analysis_jupyter.zip `