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<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Statistical Distributions Tutorial</title> <link rel="stylesheet" href="../math.css" type="text/css"> <meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> <link rel="home" href="../index.html" title="Math Toolkit 2.1.0"> <link rel="up" href="../dist.html" title="Chapter 5. Statistical Distributions and Functions"> <link rel="prev" href="../dist.html" title="Chapter 5. Statistical Distributions and Functions"> <link rel="next" href="stat_tut/overview.html" title="Overview of Distributions"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> <table cellpadding="2" width="100%"><tr> <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td> <td align="center"><a href="../../../../../index.html">Home</a></td> <td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td> <td 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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> </div></td> </tr></table> <hr> <div class="spirit-nav"> <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> </div> </body> </html>