A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications
Keywords:inequality measures, asymptotic behaviour, asymptotic representations, functional empirical process
In this paper, we consider the Zenga index, one of the most recent inequality indices. 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. The results are simulated and applied to Senegalese income data.
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