.. _book_fig_chapter5_fig_gaussgauss_mcmc:


Gaussian Distribution with Gaussian Errors
------------------------------------------
Figure 5.25

The posterior pdf for mu and sigma for a Gaussian distribution with
heteroscedastic errors. This is the same data set as used in figure 5.7, but
here each measurement error is assumed unknown, treated as a model parameter
with a scale-invariant prior, and marginalized over to obtain the distribution
of mu and sigma shown by contours. For comparison, the posterior pdf from
figure 5.7 is shown by shaded contours.



.. image:: ../images/chapter5/fig_gaussgauss_mcmc_1.png
    :scale: 100
    :align: center


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