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<main id="main" class="col-md-9"><div class="page-header">
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<img src="../logo.svg" class="logo" alt=""><h1>Kurtosis of the Sample</h1>
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<small class="dont-index">Source: <a href="https://github.com/msberends/AMR/blob/main/R/kurtosis.R" class="external-link"><code>R/kurtosis.R</code></a></small>
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<div class="d-none name"><code>kurtosis.Rd</code></div>
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</div>
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<div class="ref-description section level2">
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<p>Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. A normal distribution has a kurtosis of 3 and a excess kurtosis of 0.</p>
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</div>
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<div class="section level2">
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<h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage"></a></h2>
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<div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">kurtosis</span><span class="op">(</span><span class="va">x</span>, na.rm <span class="op">=</span> <span class="cn">FALSE</span>, excess <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span>
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<span></span>
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<span><span class="co"># Default S3 method</span></span>
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<span><span class="fu">kurtosis</span><span class="op">(</span><span class="va">x</span>, na.rm <span class="op">=</span> <span class="cn">FALSE</span>, excess <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span>
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<span></span>
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<span><span class="co"># S3 method for class 'matrix'</span></span>
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<span><span class="fu">kurtosis</span><span class="op">(</span><span class="va">x</span>, na.rm <span class="op">=</span> <span class="cn">FALSE</span>, excess <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span>
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<span></span>
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<span><span class="co"># S3 method for class 'data.frame'</span></span>
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<span><span class="fu">kurtosis</span><span class="op">(</span><span class="va">x</span>, na.rm <span class="op">=</span> <span class="cn">FALSE</span>, excess <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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</div>
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<div class="section level2">
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<h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
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<dl><dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
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<dd><p>a vector of values, a <a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a> or a <a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></p></dd>
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<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
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<dd><p>a <a href="https://rdrr.io/r/base/logical.html" class="external-link">logical</a> to indicate whether <code>NA</code> values should be stripped before the computation proceeds</p></dd>
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<dt id="arg-excess">excess<a class="anchor" aria-label="anchor" href="#arg-excess"></a></dt>
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<dd><p>a <a href="https://rdrr.io/r/base/logical.html" class="external-link">logical</a> to indicate whether the <em>excess kurtosis</em> should be returned, defined as the kurtosis minus 3.</p></dd>
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</dl></div>
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<div class="section level2">
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<h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
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<div class="dont-index"><p><code><a href="skewness.html">skewness()</a></code></p></div>
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</div>
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<div class="section level2">
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<h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-examples"></a></h2>
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<div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu">kurtosis</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/stats/Normal.html" class="external-link">rnorm</a></span><span class="op">(</span><span class="fl">10000</span><span class="op">)</span><span class="op">)</span></span></span>
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<span class="r-out co"><span class="r-pr">#></span> [1] 3.021297</span>
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<span class="r-in"><span><span class="fu">kurtosis</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/stats/Normal.html" class="external-link">rnorm</a></span><span class="op">(</span><span class="fl">10000</span><span class="op">)</span>, excess <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
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<span class="r-out co"><span class="r-pr">#></span> [1] 0.08143396</span>
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</code></pre></div>
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<p><code>AMR</code> (for R). Free and open-source, licenced under the <a target="_blank" href="https://github.com/msberends/AMR/blob/main/LICENSE" class="external-link">GNU General Public License version 2.0 (GPL-2)</a>.<br>Developed at the <a target="_blank" href="https://www.rug.nl" class="external-link">University of Groningen</a> and <a target="_blank" href="https://www.umcg.nl" class="external-link">University Medical Center Groningen</a> in The Netherlands.</p>
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