.. _book_fig_chapter5_fig_distribution_gaussgauss:


Gaussian/Gaussian distribution
------------------------------
Figure 5.6

The distribution of 106 points drawn from :math:`\mathcal{N}(0,1)` and sampled
with heteroscedastic Gaussian errors with widths, :math:`e_i`, uniformly
distributed between 0 and 3. A linear superposition of these Gaussian
distributions with widths equal to :math:`\sqrt{1 + e_i^2} results in a
non-Gaussian distribution. The best-fit Gaussians centered on the sample
median with widths equal to sample standard deviation and quartile-based
:math:`\sigma_G` (eq.3.36) are shown for comparison.



.. image:: ../images/chapter5/fig_distribution_gaussgauss_1.png
    :scale: 100
    :align: center


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