.. _book_fig_chapter4_fig_bootstrap_gaussian:


Bootstrap Calculations of Error on Mean
---------------------------------------
Figure 4.3.

The bootstrap uncertainty estimates for the sample standard deviation
:math:`\sigma` (dashed line; see eq. 3.32) and :math:`\sigma_G` (solid line;
see eq. 3.36). The sample consists of N = 1000 values drawn from a Gaussian
distribution with :math:`\mu = 0` and :math:`\sigma = 1`. The bootstrap
estimates are based on 10,000 samples. The thin lines show Gaussians with
the widths determined as :math:`s / \sqrt{2(N - 1)}` (eq. 3.35) for
:math:`\sigma` and :math:`1.06 s / \sqrt{N}` (eq. 3.37) for :math:`\sigma_G`.



.. image:: ../images/chapter4/fig_bootstrap_gaussian_1.png
    :scale: 100
    :align: center


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