1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Statistical Distributions Tutorial</title> 5<link rel="stylesheet" href="../math.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../index.html" title="Math Toolkit 2.12.0"> 8<link rel="up" href="../dist.html" title="Chapter 5. Statistical Distributions and Functions"> 9<link rel="prev" href="../dist.html" title="Chapter 5. Statistical Distributions and Functions"> 10<link rel="next" href="stat_tut/overview.html" title="Overview of Statistical Distributions"> 11</head> 12<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 13<table cellpadding="2" width="100%"><tr> 14<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td> 15<td align="center"><a href="../../../../../index.html">Home</a></td> 16<td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td> 17<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 18<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 19<td align="center"><a href="../../../../../more/index.htm">More</a></td> 20</tr></table> 21<hr> 22<div class="spirit-nav"> 23<a accesskey="p" href="../dist.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="stat_tut/overview.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> 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 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 © 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 Råde, 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> 150</div></td> 151</tr></table> 152<hr> 153<div class="spirit-nav"> 154<a accesskey="p" href="../dist.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="stat_tut/overview.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> 155</div> 156</body> 157</html> 158
