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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/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/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/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> |
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| <td align="left"></td> |
| <td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008, 2009, 2010 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> |
| </div></td> |
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