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

Authors

DOI:

https://doi.org/10.57805/revstat.v23i2.523

Keywords:

inequality measures, asymptotic behaviour, asymptotic representations, functional empirical process

Abstract

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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Published

2025-05-20

Issue

Vol. 23 No. 2 (2025): REVSTAT-Statistical Journal

Section

Article

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Copyright (c) 2025 REVSTAT-Statistical Journal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Kpanzou, T. A., Ba, D., Da, G. B. O., & Lo, G. S. (2025). A Multinomial Asymptotic Representation of Zenga’s Discrete Index, its Influence Function and Data-driven Applications. REVSTAT-Statistical Journal, 23(2), 189-205. https://doi.org/10.57805/revstat.v23i2.523