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 simul...
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2025-05-01
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| Series: | Revstat Statistical Journal |
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| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/523 |
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| author | Tchilabalo Abozou Kpanzou Diam Ba Gandasor Bonyiri Onesiphore Da Gane Samb Lo |
| author_facet | Tchilabalo Abozou Kpanzou Diam Ba Gandasor Bonyiri Onesiphore Da Gane Samb Lo |
| author_sort | Tchilabalo Abozou Kpanzou |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-a3e76d4cb3544bc3a7d18519ee54728e |
| institution | OA Journals |
| issn | 1645-6726 2183-0371 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj-art-a3e76d4cb3544bc3a7d18519ee54728e2025-08-20T01:55:27ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712025-05-0123210.57805/revstat.v23i2.523A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven ApplicationsTchilabalo Abozou Kpanzou0Diam Ba1Gandasor Bonyiri Onesiphore Da2Gane Samb Lo3University of KaraGaston Berger UniversityGaston Berger UniversityGaston Berger University 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. https://revstat.ine.pt/index.php/REVSTAT/article/view/523inequality measuresasymptotic behaviourasymptotic representationsfunctional empirical process |
| spellingShingle | Tchilabalo Abozou Kpanzou Diam Ba Gandasor Bonyiri Onesiphore Da Gane Samb Lo A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications Revstat Statistical Journal inequality measures asymptotic behaviour asymptotic representations functional empirical process |
| title | A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications |
| title_full | A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications |
| title_fullStr | A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications |
| title_full_unstemmed | A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications |
| title_short | A Multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications |
| title_sort | multinomial asymptotic representation of zenga s discrete index its influence function and data driven applications |
| topic | inequality measures asymptotic behaviour asymptotic representations functional empirical process |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/523 |
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