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  27 <a name="math_toolkit.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions Tutorial</a>
  28 </h2></div></div></div>
  29 <div class="toc"><dl class="toc">
  30 <dt><span class="section"><a href="stat_tut/overview.html">Overview of Statistical
  31       Distributions</a></span></dt>
  32 <dd><dl>
  33 <dt><span class="section"><a href="stat_tut/overview/headers.html">Headers and
  34         Namespaces</a></span></dt>
  35 <dt><span class="section"><a href="stat_tut/overview/objects.html">Distributions
  36         are Objects</a></span></dt>
  37 <dt><span class="section"><a href="stat_tut/overview/generic.html">Generic operations
  38         common to all distributions are non-member functions</a></span></dt>
  39 <dt><span class="section"><a href="stat_tut/overview/complements.html">Complements
  40         are supported too - and when to use them</a></span></dt>
  41 <dt><span class="section"><a href="stat_tut/overview/parameters.html">Parameters
  42         can be calculated</a></span></dt>
  43 <dt><span class="section"><a href="stat_tut/overview/summary.html">Summary</a></span></dt>
  44 </dl></dd>
  45 <dt><span class="section"><a href="stat_tut/weg.html">Worked Examples</a></span></dt>
  46 <dd><dl>
  47 <dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution
  48         Construction Examples</a></span></dt>
  49 <dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t Distribution
  50         Examples</a></span></dt>
  51 <dd><dl>
  52 <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating
  53           confidence intervals on the mean with the Students-t distribution</a></span></dt>
  54 <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing
  55           a sample mean for difference from a "true" mean</a></span></dt>
  56 <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating
  57           how large a sample size would have to become in order to give a significant
  58           Students-t test result with a single sample test</a></span></dt>
  59 <dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing
  60           the means of two samples with the Students-t test</a></span></dt>
  61 <dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing
  62           two paired samples with the Student's t distribution</a></span></dt>
  63 </dl></dd>
  64 <dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared Distribution
  65         Examples</a></span></dt>
  66 <dd><dl>
  67 <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
  68           Intervals on the Standard Deviation</a></span></dt>
  69 <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square
  70           Test for the Standard Deviation</a></span></dt>
  71 <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating
  72           the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
  73 </dl></dd>
  74 <dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution Examples</a></span></dt>
  75 <dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial Distribution
  76         Examples</a></span></dt>
  77 <dd><dl>
  78 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
  79           Coin-Flipping Example</a></span></dt>
  80 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
  81           Quiz Example</a></span></dt>
  82 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating
  83           Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
  84 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
  85           Sample Sizes for a Binomial Distribution.</a></span></dt>
  86 </dl></dd>
  87 <dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric Distribution
  88         Examples</a></span></dt>
  89 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative Binomial
  90         Distribution Examples</a></span></dt>
  91 <dd><dl>
  92 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
  93           Confidence Limits on the Frequency of Occurrence for the Negative Binomial
  94           Distribution</a></span></dt>
  95 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
  96           Sample Sizes for the Negative Binomial.</a></span></dt>
  97 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
  98           Binomial Sales Quota Example.</a></span></dt>
  99 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
 100           Binomial Table Printing Example.</a></span></dt>
 101 </dl></dd>
 102 <dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal Distribution
 103         Examples</a></span></dt>
 104 <dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some
 105           Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
 106 <dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse
 107         Chi-Squared Distribution Bayes Example</a></span></dt>
 108 <dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central Chi
 109         Squared Example</a></span></dt>
 110 <dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
 111           of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd>
 112 <dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling
 113         Example</a></span></dt>
 114 <dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location and
 115         Scale Examples</a></span></dt>
 116 <dd><dl>
 117 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find
 118           Location (Mean) Example</a></span></dt>
 119 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find
 120           Scale (Standard Deviation) Example</a></span></dt>
 121 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
 122           mean and standard deviation example</a></span></dt>
 123 </dl></dd>
 124 <dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison with
 125         C, R, FORTRAN-style Free Functions</a></span></dt>
 126 <dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the Distributions
 127         from Within C#</a></span></dt>
 128 </dl></dd>
 129 <dt><span class="section"><a href="stat_tut/variates.html">Random Variates and Distribution
 130       Parameters</a></span></dt>
 131 <dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability
 132       Distributions</a></span></dt>
 133 </dl></div>
 134 <p>
 135       This library is centred around statistical distributions, this tutorial will
 136       give you an overview of what they are, how they can be used, and provides a
 137       few worked examples of applying the library to statistical tests.
 138     </p>
 139 </div>
 140 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 141 <td align="left"></td>
 142 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2019 Nikhar
 143       Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
 144       Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
 145       R&#229;de, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
 146       Daryle Walker and Xiaogang Zhang<p>
 147         Distributed under the Boost Software License, Version 1.0. (See accompanying
 148         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>)
 149       </p>
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