The Lambert Way to Gaussianize Heavy-Tailed Data with the Inverse of Tukey’s <i>h</i> Transformation as a Special Case

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/tswj/volume-2015/909231/figures/909231.fig.005a.svgz" name="909231.fig.005a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Variance</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/tswj/volume-2015/909231/figures/909231.fig.005b.svgz" name="909231.fig.005b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Kurtosis</td></tr></table>

<div>Comparing moments of Lambert W × Gaussian and Student’s <svg height="8.02022pt" id="M256" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -7.81382 4.54925 8.02022" width="4.54925pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z" id="g113-117"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="341" vert-adv-y="341"></glyph.data></g></svg>.</div>

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Figure 5

Figure 5: The Lambert Way to Gaussianize Heavy-Tailed Data with the Inverse of Tukey’s <i>h</i> Transformation as a Special Case 

The Scientific World Journal

The Lambert Way to Gaussianize Heavy-Tailed Data with the Inverse of Tukey’s h Transformation as a Special Case

Figure 5