Natural logarithm of the probability density of the Pearson type VII distribution
The red curve shows the limiting density with infinite kurtosis; the blue curve shows the density with kurtosis equal to 2; the black curve shows the limiting (normal) density with zero kurtosis. The gray curves (between the blue and the black) show densities with kurtoses 1, 1/2, 1/4, 1/8, and 1/16.
<div style="display:inline-block;padding:0 3px;background-color:#BDC"><a href="//commons.wikimedia.org/wiki/File:Pearson_type_VII_distribution_log-PDF.png" title="File:Pearson type VII distribution log-PDF.png"><b>Original: </b></a></div> <div style="display:inline-block;padding:3px 0;"><a href="//commons.wikimedia.org/wiki/User:MarkSweep" title="User:MarkSweep">MarkSweep</a></div> <div style="display:inline-block;padding:0 3px;background-color:#CCF">Vector: </div> <div style="display:inline-block;"><a href="//commons.wikimedia.org/wiki/User:Andel" title="User:Andel">Andel</a></div>
2020-05-26
<a href="//commons.wikimedia.org/wiki/User:MarkSweep" title="User:MarkSweep">MarkSweep</a>