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@@ -130,8 +130,8 @@ Functions</h2></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Poisson_distribution" target="_blank">Poisson statistics</a> </p>
<p >The Poisson distribution counts how many events occur over a set time interval. </p>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Poisson_distribution" target="_blank">Poisson statistics</a> </p>
<p>The Poisson distribution counts how many events occur over a set time interval. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a63ffd347e75d5ed7a518cbcfbfeec71a" name="a63ffd347e75d5ed7a518cbcfbfeec71a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a63ffd347e75d5ed7a518cbcfbfeec71a">&#9670;&#160;</a></span>fact()</h2>
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<p >Compute factorial of a given number </p>
<p>Compute factorial of a given number </p>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordtype">double</span> x_fact = x;</div>
<div class="line"><span class="lineno"> 32</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = x - 1; i &gt; 0; i--) {</div>
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<p >main function </p>
<p>main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 65</span> {</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordtype">double</span> rate, expected;</div>
<div class="line"><span class="lineno"> 67</span> rate = <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8">poisson_rate</a>(3, 1);</div>
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<p >calculate the expected value over a time e.g rate of 2.5 over 10 mins = 2.5 x 10 = 25 </p>
<p>calculate the expected value over a time e.g rate of 2.5 over 10 mins = 2.5 x 10 = 25 </p>
<div class="fragment"><div class="line"><span class="lineno"> 25</span>{ <span class="keywordflow">return</span> rate * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">time</a>; }</div>
<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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<p >probability of a success in range for Poisson dist (inclusive, inclusive) </p><p class="formulaDsp">
<p>probability of a success in range for Poisson dist (inclusive, inclusive) </p><p class="formulaDsp">
\[P = \sum_i p(\mu,i)\]
</p>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
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<p >poisson rate:<br />
<p>poisson rate:<br />
calculate the events per unit time<br />
e.g 5 dollars every 2 mins = 5 / 2 = 2.5 </p>
<div class="fragment"><div class="line"><span class="lineno"> 17</span> {</div>
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<p >Find the probability of x successes in a Poisson dist. </p><p class="formulaDsp">
<p>Find the probability of x successes in a Poisson dist. </p><p class="formulaDsp">
\[p(\mu,x) = \frac{\mu^x e^{-\mu}}{x!}\]
</p>
<div class="fragment"><div class="line"><span class="lineno"> 46</span> {</div>
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<li class="navelem"><a class="el" href="../../dir_82e494173a87936756866de2fa774307.html">probability</a></li><li class="navelem"><a class="el" href="../../d9/d24/poisson__dist_8cpp.html">poisson_dist.cpp</a></li>
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