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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.dist"></a><a class="link" href="dist.html" title="Statistical Distributions and Functions">Statistical Distributions and Functions</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="dist/stat_tut.html">Statistical Distributions
Tutorial</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/overview.html">Overview of Distributions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/overview/headers.html">Headers
and Namespaces</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/overview/objects.html">Distributions
are Objects</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/overview/generic.html">Generic
operations common to all distributions are non-member functions</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/overview/complements.html">Complements
are supported too - and when to use them</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/overview/parameters.html">Parameters
can be calculated</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/overview/summary.html">Summary</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="dist/stat_tut/weg.html">Worked Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/weg/dist_construct_eg.html">Distribution
Construction Example</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/st_eg.html">Student's t
Distribution Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/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="dist/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="dist/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="dist/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="dist/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="dist/stat_tut/weg/cs_eg.html">Chi Squared
Distribution Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
Intervals on the Standard Deviation</a></span></dt>
<dt><span class="section"><a href="dist/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="dist/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="dist/stat_tut/weg/f_eg.html">F Distribution
Examples</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg.html">Binomial
Distribution Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
Coin-Flipping Example</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
Quiz Example</a></span></dt>
<dt><span class="section"><a href="dist/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="dist/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="dist/stat_tut/weg/geometric_eg.html">Geometric
Distribution Examples</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg.html">Negative
Binomial Distribution Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/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="dist/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="dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
Binomial Sales Quota Example.</a></span></dt>
<dt><span class="section"><a href="dist/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="dist/stat_tut/weg/normal_example.html">Normal
Distribution Examples</a></span></dt>
<dd><dl><dt><span class="section"><a href="dist/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="dist/stat_tut/weg/inverse_chi_squared_eg.html">Inverse
Chi-Squared Distribution Bayes Example</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/nccs_eg.html">Non Central
Chi Squared Example</a></span></dt>
<dd><dl><dt><span class="section"><a href="dist/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="dist/stat_tut/weg/error_eg.html">Error Handling
Example</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/find_eg.html">Find Location
and Scale Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_location_eg.html">Find
Location (Mean) Example</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_scale_eg.html">Find
Scale (Standard Deviation) Example</a></span></dt>
<dt><span class="section"><a href="dist/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="dist/stat_tut/weg/nag_library.html">Comparison
with C, R, FORTRAN-style Free Functions</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/weg/c_sharp.html">Using the
Distributions from Within C#</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="dist/stat_tut/variates.html">Random Variates
and Distribution Parameters</a></span></dt>
<dt><span class="section"><a href="dist/stat_tut/dist_params.html">Discrete Probability
Distributions</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="dist/dist_ref.html">Statistical Distributions
Reference</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/dist_ref/nmp.html">Non-Member Properties</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists.html">Distributions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="dist/dist_ref/dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/beta_dist.html">Beta
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/binomial_dist.html">Binomial
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/cauchy_dist.html">Cauchy-Lorentz
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/chi_squared_dist.html">Chi
Squared Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/exp_dist.html">Exponential
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/extreme_dist.html">Extreme
Value Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/f_dist.html">F Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/gamma_dist.html">Gamma
(and Erlang) Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/geometric_dist.html">Geometric
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/hypergeometric_dist.html">Hypergeometric
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/inverse_chi_squared_dist.html">Inverse
Chi Squared Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/inverse_gamma_dist.html">Inverse
Gamma Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/inverse_gaussian_dist.html">Inverse
Gaussian (or Inverse Normal) Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/laplace_dist.html">Laplace
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/logistic_dist.html">Logistic
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/lognormal_dist.html">Log
Normal Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/negative_binomial_dist.html">Negative
Binomial Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/nc_beta_dist.html">Noncentral
Beta Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/nc_chi_squared_dist.html">Noncentral
Chi-Squared Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/nc_f_dist.html">Noncentral
F Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/nc_t_dist.html">Noncentral
T Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/normal_dist.html">Normal
(Gaussian) Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/pareto.html">Pareto Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/poisson_dist.html">Poisson
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/rayleigh.html">Rayleigh
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/skew_normal_dist.html">Skew
Normal Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/students_t_dist.html">Students
t Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/triangular_dist.html">Triangular
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/uniform_dist.html">Uniform
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/weibull_dist.html">Weibull
Distribution</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="dist/dist_ref/dist_algorithms.html">Distribution
Algorithms</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="dist/future.html">Extras/Future Directions</a></span></dt>
</dl></div>
</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 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<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>
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