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<title>Statistical Distributions Tutorial</title>
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions Tutorial</a>
</h2></div></div></div>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="stat_tut/overview.html">Overview of Distributions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/overview/headers.html">Headers and
Namespaces</a></span></dt>
<dt><span class="section"><a href="stat_tut/overview/objects.html">Distributions
are Objects</a></span></dt>
<dt><span class="section"><a href="stat_tut/overview/generic.html">Generic operations
common to all distributions are non-member functions</a></span></dt>
<dt><span class="section"><a href="stat_tut/overview/complements.html">Complements
are supported too - and when to use them</a></span></dt>
<dt><span class="section"><a href="stat_tut/overview/parameters.html">Parameters
can be calculated</a></span></dt>
<dt><span class="section"><a href="stat_tut/overview/summary.html">Summary</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg.html">Worked Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution
Construction Examples</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t Distribution
Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating
confidence intervals on the mean with the Students-t distribution</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing
a sample mean for difference from a "true" mean</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating
how large a sample size would have to become in order to give a significant
Students-t test result with a single sample test</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing
the means of two samples with the Students-t test</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing
two paired samples with the Student's t distribution</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared Distribution
Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
Intervals on the Standard Deviation</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square
Test for the Standard Deviation</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating
the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution Examples</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial Distribution
Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
Coin-Flipping Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
Quiz Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating
Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric Distribution
Examples</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative Binomial
Distribution Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
Confidence Limits on the Frequency of Occurrence for the Negative Binomial
Distribution</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
Sample Sizes for the Negative Binomial.</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
Binomial Sales Quota Example.</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
Binomial Table Printing Example.</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal Distribution
Examples</a></span></dt>
<dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some
Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
<dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse
Chi-Squared Distribution Bayes Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central Chi
Squared Example</a></span></dt>
<dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd>
<dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling
Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location and
Scale Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find
Location (Mean) Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find
Scale (Standard Deviation) Example</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
mean and standard deviation example</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison with
C, R, FORTRAN-style Free Functions</a></span></dt>
<dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the Distributions
from Within C#</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="stat_tut/variates.html">Random Variates and Distribution
Parameters</a></span></dt>
<dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability
Distributions</a></span></dt>
</dl></div>
<p>
This library is centred around statistical distributions, this tutorial will
give you an overview of what they are, how they can be used, and provides a
few worked examples of applying the library to statistical tests.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal,
Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
Holin, Bruno Lalande, John Maddock, Johan Råde, Gautam Sewani, Benjamin Sobotta,
Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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