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| 4 | <title>Statistical Distributions Tutorial</title> | |
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| 24 | </div> | |
| 25 | <div class="section"> | |
| 26 | <div class="titlepage"><div><div><h2 class="title" style="clear: both"> | |
| 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> | |
| 30 | <dt><span class="section"><a href="stat_tut/overview.html">Overview of Distributions</a></span></dt> | |
| 31 | <dd><dl> | |
| 32 | <dt><span class="section"><a href="stat_tut/overview/headers.html">Headers and | |
| 33 | Namespaces</a></span></dt> | |
| 34 | <dt><span class="section"><a href="stat_tut/overview/objects.html">Distributions | |
| 35 | are Objects</a></span></dt> | |
| 36 | <dt><span class="section"><a href="stat_tut/overview/generic.html">Generic operations | |
| 37 | common to all distributions are non-member functions</a></span></dt> | |
| 38 | <dt><span class="section"><a href="stat_tut/overview/complements.html">Complements | |
| 39 | are supported too - and when to use them</a></span></dt> | |
| 40 | <dt><span class="section"><a href="stat_tut/overview/parameters.html">Parameters | |
| 41 | can be calculated</a></span></dt> | |
| 42 | <dt><span class="section"><a href="stat_tut/overview/summary.html">Summary</a></span></dt> | |
| 43 | </dl></dd> | |
| 44 | <dt><span class="section"><a href="stat_tut/weg.html">Worked Examples</a></span></dt> | |
| 45 | <dd><dl> | |
| 46 | <dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution | |
| 47 | Construction Examples</a></span></dt> | |
| 48 | <dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t Distribution | |
| 49 | Examples</a></span></dt> | |
| 50 | <dd><dl> | |
| 51 | <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating | |
| 52 | confidence intervals on the mean with the Students-t distribution</a></span></dt> | |
| 53 | <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing | |
| 54 | a sample mean for difference from a "true" mean</a></span></dt> | |
| 55 | <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating | |
| 56 | how large a sample size would have to become in order to give a significant | |
| 57 | Students-t test result with a single sample test</a></span></dt> | |
| 58 | <dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing | |
| 59 | the means of two samples with the Students-t test</a></span></dt> | |
| 60 | <dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing | |
| 61 | two paired samples with the Student's t distribution</a></span></dt> | |
| 62 | </dl></dd> | |
| 63 | <dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared Distribution | |
| 64 | Examples</a></span></dt> | |
| 65 | <dd><dl> | |
| 66 | <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence | |
| 67 | Intervals on the Standard Deviation</a></span></dt> | |
| 68 | <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square | |
| 69 | Test for the Standard Deviation</a></span></dt> | |
| 70 | <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating | |
| 71 | the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt> | |
| 72 | </dl></dd> | |
| 73 | <dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution Examples</a></span></dt> | |
| 74 | <dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial Distribution | |
| 75 | Examples</a></span></dt> | |
| 76 | <dd><dl> | |
| 77 | <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial | |
| 78 | Coin-Flipping Example</a></span></dt> | |
| 79 | <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial | |
| 80 | Quiz Example</a></span></dt> | |
| 81 | <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating | |
| 82 | Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt> | |
| 83 | <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating | |
| 84 | Sample Sizes for a Binomial Distribution.</a></span></dt> | |
| 85 | </dl></dd> | |
| 86 | <dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric Distribution | |
| 87 | Examples</a></span></dt> | |
| 88 | <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative Binomial | |
| 89 | Distribution Examples</a></span></dt> | |
| 90 | <dd><dl> | |
| 91 | <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating | |
| 92 | Confidence Limits on the Frequency of Occurrence for the Negative Binomial | |
| 93 | Distribution</a></span></dt> | |
| 94 | <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating | |
| 95 | Sample Sizes for the Negative Binomial.</a></span></dt> | |
| 96 | <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative | |
| 97 | Binomial Sales Quota Example.</a></span></dt> | |
| 98 | <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative | |
| 99 | Binomial Table Printing Example.</a></span></dt> | |
| 100 | </dl></dd> | |
| 101 | <dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal Distribution | |
| 102 | Examples</a></span></dt> | |
| 103 | <dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some | |
| 104 | Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd> | |
| 105 | <dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse | |
| 106 | Chi-Squared Distribution Bayes Example</a></span></dt> | |
| 107 | <dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central Chi | |
| 108 | Squared Example</a></span></dt> | |
| 109 | <dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables | |
| 110 | of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd> | |
| 111 | <dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling | |
| 112 | Example</a></span></dt> | |
| 113 | <dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location and | |
| 114 | Scale Examples</a></span></dt> | |
| 115 | <dd><dl> | |
| 116 | <dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find | |
| 117 | Location (Mean) Example</a></span></dt> | |
| 118 | <dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find | |
| 119 | Scale (Standard Deviation) Example</a></span></dt> | |
| 120 | <dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find | |
| 121 | mean and standard deviation example</a></span></dt> | |
| 122 | </dl></dd> | |
| 123 | <dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison with | |
| 124 | C, R, FORTRAN-style Free Functions</a></span></dt> | |
| 125 | <dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the Distributions | |
| 126 | from Within C#</a></span></dt> | |
| 127 | </dl></dd> | |
| 128 | <dt><span class="section"><a href="stat_tut/variates.html">Random Variates and Distribution | |
| 129 | Parameters</a></span></dt> | |
| 130 | <dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability | |
| 131 | Distributions</a></span></dt> | |
| 132 | </dl></div> | |
| 133 | <p> | |
| 134 | This library is centred around statistical distributions, this tutorial will | |
| 135 | give you an overview of what they are, how they can be used, and provides a | |
| 136 | few worked examples of applying the library to statistical tests. | |
| 137 | </p> | |
| 138 | </div> | |
| 139 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
| 140 | <td align="left"></td> | |
| 141 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
| 142 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
| 143 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
| 144 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<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> | |
| 148 | </div></td> | |
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