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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/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/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 χ<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/hypergeometric_dist.html">
Hypergeometric 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/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/weibull.html"> Weibull
Distribution</a></span></dt>
<dt><span class="section"><a href="dist/dist_ref/dists/uniform_dist.html"> Uniform
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>
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<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008, 2009 John Maddock, Paul A. Bristow,
Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani
and Thijs van den Berg<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>
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