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  25 <div class="section math_toolkit_dist_stat_tut">
  26 <div class="titlepage"><div><div><h3 class="title">
  27 <a name="math_toolkit.dist.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions
  28       Tutorial</a>
  29 </h3></div></div></div>
  30 <div class="toc"><dl>
  31 <dt><span class="section"><a href="stat_tut/overview.html">Overview of Distributions</a></span></dt>
  32 <dd><dl>
  33 <dt><span class="section"><a href="stat_tut/overview/headers.html">Headers
  34           and 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
  38           operations 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 Example</a></span></dt>
  49 <dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t
  50           Distribution 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
  65           Distribution 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
  75           Examples</a></span></dt>
  76 <dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial
  77           Distribution Examples</a></span></dt>
  78 <dd><dl>
  79 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
  80             Coin-Flipping Example</a></span></dt>
  81 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
  82             Quiz Example</a></span></dt>
  83 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating
  84             Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
  85 <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
  86             Sample Sizes for a Binomial Distribution.</a></span></dt>
  87 </dl></dd>
  88 <dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric
  89           Distribution Examples</a></span></dt>
  90 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative
  91           Binomial Distribution Examples</a></span></dt>
  92 <dd><dl>
  93 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
  94             Confidence Limits on the Frequency of Occurrence for the Negative Binomial
  95             Distribution</a></span></dt>
  96 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
  97             Sample Sizes for the Negative Binomial.</a></span></dt>
  98 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
  99             Binomial Sales Quota Example.</a></span></dt>
 100 <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
 101             Binomial Table Printing Example.</a></span></dt>
 102 </dl></dd>
 103 <dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal
 104           Distribution Examples</a></span></dt>
 105 <dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some
 106             Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
 107 <dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse
 108           Chi-Squared Distribution Bayes Example</a></span></dt>
 109 <dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central
 110           Chi Squared Example</a></span></dt>
 111 <dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
 112             of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd>
 113 <dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling
 114           Example</a></span></dt>
 115 <dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location
 116           and Scale Examples</a></span></dt>
 117 <dd><dl>
 118 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find
 119             Location (Mean) Example</a></span></dt>
 120 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find
 121             Scale (Standard Deviation) Example</a></span></dt>
 122 <dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
 123             mean and standard deviation example</a></span></dt>
 124 </dl></dd>
 125 <dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison
 126           with C, R, FORTRAN-style Free Functions</a></span></dt>
 127 <dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the
 128           Distributions from Within C#</a></span></dt>
 129 </dl></dd>
 130 <dt><span class="section"><a href="stat_tut/variates.html">Random Variates
 131         and Distribution Parameters</a></span></dt>
 132 <dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability
 133         Distributions</a></span></dt>
 134 </dl></div>
 135 <p>
 136         This library is centred around statistical distributions, this tutorial will
 137         give you an overview of what they are, how they can be used, and provides
 138         a few worked examples of applying the library to statistical tests.
 139       </p>
 140 </div>
 141 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 142 <td align="left"></td>
 143 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
 144       Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
 145         Distributed under the Boost Software License, Version 1.0. (See accompanying
 146         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>)
 147       </p>
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