In this paper, we provide alternative derivations of the Gini index for a quadratic Pen's parade without imposing … for a quadratic Pen's parade is 1/2 (as opposed to 1/3 in the case of a linear Pen's parade). Whether the Gini index is … equal to, less than or greater than the reference value in these cases depends on whether or not Pen's parade passes through …

coefficient of variation and gini index as functions of the power degree of the Pen's parade. Reciprocally, for a given … coefficient of variation or gini index, we propose the analytic expression of the degree of the power Pen's parade; we can then … compute the Pen's parade. …

, we provide the coefficient of variation and the Gini index as functions of the power degree of the Pen's parade. In fact …, knowing the power degree of the Pen's parade function, we obtain the coefficient of variation and a sharp analytical simple … variable, we can also provide the power degree of the corresponding Pen's parade, hence deducting its shape. Several examples …