The article explores how to measure the shape of distributions, focusing on skew distributions. By building on existing kurtosis measures for elliptical distributions, the researchers developed new measures for both elliptical and skew-elliptical distributions. They also found a way to express moments of skew-elliptical distributions using skew-normals as a reference. The study includes examples using skew-$t$, skew-Pearson type Ⅶ, and skew-Pearson type Ⅱ distributions.