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

* 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 simu...

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Bibliographic Details
Published inRevstat Vol. 23; no. 2; p. 189
Main Authors Kpanzou, Tchilabalo Abozou, Ba, Diam, Da, Gandasor Bonyiri Onesiphore, Lo, Gane Samb
Format Journal Article
LanguageEnglish
Published Instituto Nacional de Estatistica 01.04.2025
Instituto Nacional de Estatística | Statistics Portugal
Subjects
asymptotic behaviour
asymptotic representations
functional empirical process
inequality measures
Senegal
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ISSN1645-6726
2183-0371
DOI10.57805/revstat.v23i2.523

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Summary:* 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. Keywords: * inequality measures; asymptotic behaviour; asymptotic representations; functional empirical process. AMS Subject Classification: * 62G05, 62G20, 62G07, 91B82, 62P20.
ISSN:1645-6726
2183-0371
DOI:10.57805/revstat.v23i2.523