 Such distributions are sometimes termed "sub-Gaussian distribution", originally proposed by Jean-Pierre Kahane and further described by Buldygin and Kozachenko.The effects of kurtosis are illustrated using a parametric family of distributions whose kurtosis can be adjusted while their lower-order moments and cumulants remain constant.Consider the Pearson type VII family, which is a special case of the Pearson type IV family restricted to symmetric densities.