Comparative plot of different types of distribution functions. In the top and bottom panels, the dashed black curves represent a Maxwellian distribution that decays much faster than the other functions. The solid black lines correspond to a Kappa distribution with κ = 4. In contrast, the blue and red curves represent skew–Kappa distributions, both with κ = 4 and a skewness parameter δ = 0.05 and δ = 0.1, respectively. In panel (a) are plotted Kappa and skew–Kappa distributions with α = 0. In panel (b), they are plotted for α = 3/2.