Merge pull request #4 from alexanderthclark/bibtex

bib fix

book/_build/html/_sources/bayes.md

@@ -35,3 +35,8 @@ name: Qwordtree
 ---
 Trees are especially helpful when the probability of a second event (like the letter U) depends on the first event (the previous letter being Q or not Q).
 ```
+
+
+## Bayes' Theorem
+
+See {cite}`strogatz2010chances`.

book/_build/html/bayes.html

@@ -418,6 +418,7 @@ <h2> Contents </h2>
             <nav aria-label="Page">
                 <ul class="visible nav section-nav flex-column">
 <li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#chance-trees">Chance Trees</a></li>
+<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#bayes-theorem">Bayes’ Theorem</a></li>
 </ul>
             </nav>
         </div>
@@ -435,7 +436,7 @@ <h2> Contents </h2>
 <p class="admonition-title">Important Readings</p>
 <ul class="simple">
 <li><p><span id="id1">[<a class="reference internal" href="bibliography.html#id12" title="H. Tijms. Understanding Probability. Cambridge University Press, 2012. ISBN 9781107658561. URL: https://books.google.com/books?id=FjpRJJ65HwIC.">Tij12</a>]</span>, Chapter 6</p></li>
-<li><p><span id="id2">[]</span></p></li>
+<li><p><span id="id2">[<a class="reference internal" href="bibliography.html#id55" title="Steven Strogatz. Chances are. New York Times, 2010. URL: https://archive.nytimes.com/opinionator.blogs.nytimes.com/2010/04/25/chances-are/.">Str10</a>]</span></p></li>
 </ul>
 </div>
 <p>In this section, we leave the main textbook to learn Bayes’ Theorem. This helps provide a foundation for further coursework in Bayesian statistics or just help you interact with nerdy people who talk about “Bayesian updating” in response to new information. Bayes’ Theorem helps solve for a conditional probability <span class="math notranslate nohighlight">\(\mathbb{P}(A \mid B)\)</span> given some other information. This involves “updating” because after observing <span class="math notranslate nohighlight">\(B\)</span>, the probability of <span class="math notranslate nohighlight">\(A\)</span> changes from <span class="math notranslate nohighlight">\(\mathbb{P}(A)\)</span> to <span class="math notranslate nohighlight">\(\mathbb{P}(A \mid B)\)</span>. The unconditional is a prior belief and the conditional probability is a posterior belief. Bayesian probabilities and statistics are important in any kind of environment where information is gathered. For example, medical doctors use Bayes’ Theorem to assess the chance of a disease (<span class="math notranslate nohighlight">\(A\)</span>) given a particular test result (<span class="math notranslate nohighlight">\(B\)</span>).</p>
@@ -457,6 +458,10 @@ <h2>Chance Trees<a class="headerlink" href="#chance-trees" title="Permalink to t
 </figcaption>
 </figure>
 </section>
+<section id="bayes-theorem">
+<h2>Bayes’ Theorem<a class="headerlink" href="#bayes-theorem" title="Permalink to this heading">#</a></h2>
+<p>See <span id="id3">[<a class="reference internal" href="bibliography.html#id55" title="Steven Strogatz. Chances are. New York Times, 2010. URL: https://archive.nytimes.com/opinionator.blogs.nytimes.com/2010/04/25/chances-are/.">Str10</a>]</span>.</p>
+</section>
 </section>
 
     <script type="text/x-thebe-config">
@@ -523,6 +528,7 @@ <h2>Chance Trees<a class="headerlink" href="#chance-trees" title="Permalink to t
   <nav class="bd-toc-nav page-toc">
     <ul class="visible nav section-nav flex-column">
 <li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#chance-trees">Chance Trees</a></li>
+<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#bayes-theorem">Bayes’ Theorem</a></li>
 </ul>
   </nav></div>
 

book/_build/html/bibliography.html

@@ -428,34 +428,70 @@ <h1>Bibliography<a class="headerlink" href="#bibliography" title="Permalink to t
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 </div>
 </section>