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  26. <div class="titlepage"><div><div><h2 class="title" style="clear: both">
  27. <a name="math_toolkit.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions Tutorial</a>
  28. </h2></div></div></div>
  29. <div class="toc"><dl class="toc">
  30. <dt><span class="section"><a href="stat_tut/overview.html">Overview of Statistical
  31. Distributions</a></span></dt>
  32. <dd><dl>
  33. <dt><span class="section"><a href="stat_tut/overview/headers.html">Headers and
  34. Namespaces</a></span></dt>
  35. <dt><span class="section"><a href="stat_tut/overview/objects.html">Distributions
  36. are Objects</a></span></dt>
  37. <dt><span class="section"><a href="stat_tut/overview/generic.html">Generic operations
  38. common to all distributions are non-member functions</a></span></dt>
  39. <dt><span class="section"><a href="stat_tut/overview/complements.html">Complements
  40. are supported too - and when to use them</a></span></dt>
  41. <dt><span class="section"><a href="stat_tut/overview/parameters.html">Parameters
  42. can be calculated</a></span></dt>
  43. <dt><span class="section"><a href="stat_tut/overview/summary.html">Summary</a></span></dt>
  44. </dl></dd>
  45. <dt><span class="section"><a href="stat_tut/weg.html">Worked Examples</a></span></dt>
  46. <dd><dl>
  47. <dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution
  48. Construction Examples</a></span></dt>
  49. <dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t Distribution
  50. Examples</a></span></dt>
  51. <dd><dl>
  52. <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating
  53. confidence intervals on the mean with the Students-t distribution</a></span></dt>
  54. <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing
  55. a sample mean for difference from a "true" mean</a></span></dt>
  56. <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating
  57. how large a sample size would have to become in order to give a significant
  58. Students-t test result with a single sample test</a></span></dt>
  59. <dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing
  60. the means of two samples with the Students-t test</a></span></dt>
  61. <dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing
  62. two paired samples with the Student's t distribution</a></span></dt>
  63. </dl></dd>
  64. <dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared Distribution
  65. Examples</a></span></dt>
  66. <dd><dl>
  67. <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
  68. Intervals on the Standard Deviation</a></span></dt>
  69. <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square
  70. Test for the Standard Deviation</a></span></dt>
  71. <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating
  72. the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
  73. </dl></dd>
  74. <dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution Examples</a></span></dt>
  75. <dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial Distribution
  76. Examples</a></span></dt>
  77. <dd><dl>
  78. <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
  79. Coin-Flipping Example</a></span></dt>
  80. <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
  81. Quiz Example</a></span></dt>
  82. <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating
  83. Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
  84. <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
  85. Sample Sizes for a Binomial Distribution.</a></span></dt>
  86. </dl></dd>
  87. <dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric Distribution
  88. Examples</a></span></dt>
  89. <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative Binomial
  90. Distribution Examples</a></span></dt>
  91. <dd><dl>
  92. <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
  93. Confidence Limits on the Frequency of Occurrence for the Negative Binomial
  94. Distribution</a></span></dt>
  95. <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
  96. Sample Sizes for the Negative Binomial.</a></span></dt>
  97. <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
  98. Binomial Sales Quota Example.</a></span></dt>
  99. <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
  100. Binomial Table Printing Example.</a></span></dt>
  101. </dl></dd>
  102. <dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal Distribution
  103. Examples</a></span></dt>
  104. <dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some
  105. Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
  106. <dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse
  107. Chi-Squared Distribution Bayes Example</a></span></dt>
  108. <dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central Chi
  109. Squared Example</a></span></dt>
  110. <dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
  111. of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd>
  112. <dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling
  113. Example</a></span></dt>
  114. <dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location and
  115. Scale Examples</a></span></dt>
  116. <dd><dl>
  117. <dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find
  118. Location (Mean) Example</a></span></dt>
  119. <dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find
  120. Scale (Standard Deviation) Example</a></span></dt>
  121. <dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
  122. mean and standard deviation example</a></span></dt>
  123. </dl></dd>
  124. <dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison with
  125. C, R, FORTRAN-style Free Functions</a></span></dt>
  126. <dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the Distributions
  127. from Within C#</a></span></dt>
  128. </dl></dd>
  129. <dt><span class="section"><a href="stat_tut/variates.html">Random Variates and Distribution
  130. Parameters</a></span></dt>
  131. <dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability
  132. Distributions</a></span></dt>
  133. </dl></div>
  134. <p>
  135. This library is centred around statistical distributions, this tutorial will
  136. give you an overview of what they are, how they can be used, and provides a
  137. few worked examples of applying the library to statistical tests.
  138. </p>
  139. </div>
  140. <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
  141. <td align="left"></td>
  142. <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2019 Nikhar
  143. Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
  144. Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
  145. R&#229;de, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
  146. Daryle Walker and Xiaogang Zhang<p>
  147. Distributed under the Boost Software License, Version 1.0. (See accompanying
  148. 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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