[…] The moment-ratio diagram is a statistical tool that helps to understand how to answer this question. This article shows how to use the moment-ratio diagram to find parameter values for the Beta(a,b) distribution that achieve a wide range of skewness-kurtosis values. The same ideas apply to finding parameters for other distributions. Recall that the full kurtosis is 3 more than the excess kurtosis. Both are popular measures, but in this article, "kurtosis" refers to the full kurtosis. …