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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/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/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="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>) |
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