A multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications

Abstract

In this paper, we consider the Zenga index, one of the most recent inequality index. We keep the finite-valued original form and address the asymptotic theory. The asymptotic normality is established through a multinomial representation. The Influence function is also given. Th results are simulated and applied to Senegalese data.

20 pages