EVOLUTION-MANAGER
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><title>R: Calculate Third Order Cumulants</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <link rel="stylesheet" type="text/css" href="R.css" /> </head><body> <table width="100%" summary="page for cum3 {boot}"><tr><td>cum3 {boot}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2> Calculate Third Order Cumulants </h2> <h3>Description</h3> <p>Calculates an estimate of the third cumulant, or skewness, of a vector. Also, if more than one vector is specified, a product-moment of order 3 is estimated. </p> <h3>Usage</h3> <pre> cum3(a, b = a, c = a, unbiased = TRUE) </pre> <h3>Arguments</h3> <table summary="R argblock"> <tr valign="top"><td><code>a</code></td> <td> <p>A vector of observations. </p> </td></tr> <tr valign="top"><td><code>b</code></td> <td> <p>Another vector of observations, if not supplied it is set to the value of <code>a</code>. If supplied then it must be the same length as <code>a</code>. </p> </td></tr> <tr valign="top"><td><code>c</code></td> <td> <p>Another vector of observations, if not supplied it is set to the value of <code>a</code>. If supplied then it must be the same length as <code>a</code>. </p> </td></tr> <tr valign="top"><td><code>unbiased</code></td> <td> <p>A logical value indicating whether the unbiased estimator should be used. </p> </td></tr></table> <h3>Details</h3> <p>The unbiased estimator uses a multiplier of <code>n/((n-1)*(n-2))</code> where <code>n</code> is the sample size, if <code>unbiased</code> is <code>FALSE</code> then a multiplier of <code>1/n</code> is used. This is multiplied by <code>sum((a-mean(a))*(b-mean(b))*(c-mean(c)))</code> to give the required estimate. </p> <h3>Value</h3> <p>The required estimate. </p> <hr /><div style="text-align: center;">[Package <em>boot</em> version 1.3-22 <a href="00Index.html">Index</a>]</div> </body></html>