In this paper, we provide alternative derivations of the Gini index for a quadratic Pen's parade without imposing unnecessary restrictions on its parameters. It turns out that in sufficiently large samples the reference value of the Gini index for a quadratic Pen's parade is 1/2 (as opposed to...

In this paper we derive several new results with respect to the Gini index for a quadratic Pen’s parade, building upon recent results by Mussard et al. (2011). To ensure that our results are relevant to many applied settings we impose only the parameter restrictions that guarantee the...