.. _book_fig_chapter5_fig_likelihood_cauchy:


Log-likelihood for Cauchy Distribution
--------------------------------------
Figure 5.10

An illustration of the logarithm of posterior probability distribution for
:math:`\mu` and :math:`\gamma`, :math:`L(\mu,\gamma)` (see eq. 5.75) for
N = 10 (the sample is generated using the Cauchy distribution with
:math:`\mu = 0` and :math:`\gamma = 2`). The maximum of L is renormalized
to 0, and color coded as shown in the legend. The contours enclose the regions
that contain 0.683, 0.955 and 0.997 of the cumulative (integrated) posterior
probability.



.. image:: ../images/chapter5/fig_likelihood_cauchy_1.png
    :scale: 100
    :align: center


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