.. raw:: html .. _book_fig_chapter5: Chapter 5: Bayesian Statistical Inference ----------------------------------------- This chapter develops the fundamentals of Bayesian statistical inference, and finishes with some examples of computing statistics in this manner. .. toctree:: :maxdepth: 2 .. toctree:: :hidden: ./fig_odds_ratio_coin ./fig_malmquist_bias ./fig_lutz_kelker ./fig_likelihood_gaussian ./fig_posterior_gaussian ./fig_distribution_gaussgauss ./fig_likelihood_gaussgauss ./fig_posterior_gaussgauss ./fig_posterior_binomial ./fig_likelihood_cauchy ./fig_posterior_cauchy ./fig_likelihood_uniform ./fig_likelihood_gausslin ./fig_poisson_continuous ./fig_poisson_likelihood ./fig_poisson_comparison ./fig_outlier_likelihood ./fig_outlier_marginalized ./fig_odds_ratio_cauchy ./fig_hist_binsize ./fig_bayes_blocks ./fig_cauchy_mcmc ./fig_model_comparison_hist ./fig_model_comparison_mcmc ./fig_gaussgauss_mcmc ./fig_signal_background .. figure:: ./../images/chapter5/fig_odds_ratio_coin_1_thumb.png :target: ./fig_odds_ratio_coin.html :align: center :ref:`book_fig_chapter5_fig_odds_ratio_coin` .. figure:: ./../images/chapter5/fig_malmquist_bias_1_thumb.png :target: ./fig_malmquist_bias.html :align: center :ref:`book_fig_chapter5_fig_malmquist_bias` .. figure:: ./../images/chapter5/fig_lutz_kelker_1_thumb.png :target: ./fig_lutz_kelker.html :align: center :ref:`book_fig_chapter5_fig_lutz_kelker` .. figure:: ./../images/chapter5/fig_likelihood_gaussian_1_thumb.png :target: ./fig_likelihood_gaussian.html :align: center :ref:`book_fig_chapter5_fig_likelihood_gaussian` .. figure:: ./../images/chapter5/fig_posterior_gaussian_1_thumb.png :target: ./fig_posterior_gaussian.html :align: center :ref:`book_fig_chapter5_fig_posterior_gaussian` .. figure:: ./../images/chapter5/fig_distribution_gaussgauss_1_thumb.png :target: ./fig_distribution_gaussgauss.html :align: center :ref:`book_fig_chapter5_fig_distribution_gaussgauss` .. figure:: ./../images/chapter5/fig_likelihood_gaussgauss_1_thumb.png :target: ./fig_likelihood_gaussgauss.html :align: center :ref:`book_fig_chapter5_fig_likelihood_gaussgauss` .. figure:: ./../images/chapter5/fig_posterior_gaussgauss_1_thumb.png :target: ./fig_posterior_gaussgauss.html :align: center :ref:`book_fig_chapter5_fig_posterior_gaussgauss` .. figure:: ./../images/chapter5/fig_posterior_binomial_1_thumb.png :target: ./fig_posterior_binomial.html :align: center :ref:`book_fig_chapter5_fig_posterior_binomial` .. figure:: ./../images/chapter5/fig_likelihood_cauchy_1_thumb.png :target: ./fig_likelihood_cauchy.html :align: center :ref:`book_fig_chapter5_fig_likelihood_cauchy` .. figure:: ./../images/chapter5/fig_posterior_cauchy_1_thumb.png :target: ./fig_posterior_cauchy.html :align: center :ref:`book_fig_chapter5_fig_posterior_cauchy` .. figure:: ./../images/chapter5/fig_likelihood_uniform_1_thumb.png :target: ./fig_likelihood_uniform.html :align: center :ref:`book_fig_chapter5_fig_likelihood_uniform` .. figure:: ./../images/chapter5/fig_likelihood_gausslin_1_thumb.png :target: ./fig_likelihood_gausslin.html :align: center :ref:`book_fig_chapter5_fig_likelihood_gausslin` .. figure:: ./../images/chapter5/fig_poisson_continuous_1_thumb.png :target: ./fig_poisson_continuous.html :align: center :ref:`book_fig_chapter5_fig_poisson_continuous` .. figure:: ./../images/chapter5/fig_poisson_likelihood_1_thumb.png :target: ./fig_poisson_likelihood.html :align: center :ref:`book_fig_chapter5_fig_poisson_likelihood` .. figure:: ./../images/chapter5/fig_poisson_comparison_1_thumb.png :target: ./fig_poisson_comparison.html :align: center :ref:`book_fig_chapter5_fig_poisson_comparison` .. figure:: ./../images/chapter5/fig_outlier_likelihood_1_thumb.png :target: ./fig_outlier_likelihood.html :align: center :ref:`book_fig_chapter5_fig_outlier_likelihood` .. figure:: ./../images/chapter5/fig_outlier_marginalized_1_thumb.png :target: ./fig_outlier_marginalized.html :align: center :ref:`book_fig_chapter5_fig_outlier_marginalized` .. figure:: ./../images/chapter5/fig_odds_ratio_cauchy_1_thumb.png :target: ./fig_odds_ratio_cauchy.html :align: center :ref:`book_fig_chapter5_fig_odds_ratio_cauchy` .. figure:: ./../images/chapter5/fig_hist_binsize_1_thumb.png :target: ./fig_hist_binsize.html :align: center :ref:`book_fig_chapter5_fig_hist_binsize` .. figure:: ./../images/chapter5/fig_bayes_blocks_1_thumb.png :target: ./fig_bayes_blocks.html :align: center :ref:`book_fig_chapter5_fig_bayes_blocks` .. figure:: ./../images/chapter5/fig_cauchy_mcmc_1_thumb.png :target: ./fig_cauchy_mcmc.html :align: center :ref:`book_fig_chapter5_fig_cauchy_mcmc` .. figure:: ./../images/chapter5/fig_model_comparison_hist_1_thumb.png :target: ./fig_model_comparison_hist.html :align: center :ref:`book_fig_chapter5_fig_model_comparison_hist` .. figure:: ./../images/chapter5/fig_model_comparison_mcmc_1_thumb.png :target: ./fig_model_comparison_mcmc.html :align: center :ref:`book_fig_chapter5_fig_model_comparison_mcmc` .. figure:: ./../images/chapter5/fig_gaussgauss_mcmc_1_thumb.png :target: ./fig_gaussgauss_mcmc.html :align: center :ref:`book_fig_chapter5_fig_gaussgauss_mcmc` .. figure:: ./../images/chapter5/fig_signal_background_1_thumb.png :target: ./fig_signal_background.html :align: center :ref:`book_fig_chapter5_fig_signal_background` .. raw:: html