This paper provides a multi-decomposition (or joint decomposition) of the Zenga-84 inequality index, considering simultaneously different sources and subpopulations. The suggested procedure consists of two different stages: in the first one, each inequality pointwise measure is decomposed by sources and by subpopulations; in the second one, the decomposition of the synthetic index is obtained, by averaging the previously decomposed pointwise measures. An important feature of this multi-decomposition is that it allows to assess the portion of the global inequality related to each source in each subpopulation, since most of the decomposition procedures proposed in the literature are not able to achieve such goal. The proposed joint decomposition permits also to obtain, as particular cases, two ‘‘marginal’’ decompositions by sources and by subpopulations of the Zenga-84 index, already introduced in the literature. To show the usefulness of the described multi-decomposition, an application about the household consumption is provided. The real considered dataset comes from the Household Consumption Expenditure Survey provided by ISTAT.

de Battisti, F., Porro, F. (2020). A joint decomposition of the Zenga-84 inequality index. STATISTICA & APPLICAZIONI, 18(1), 53-59 [10.26350/999999_000030].

A joint decomposition of the Zenga-84 inequality index

Porro F.
Secondo
2020

Abstract

This paper provides a multi-decomposition (or joint decomposition) of the Zenga-84 inequality index, considering simultaneously different sources and subpopulations. The suggested procedure consists of two different stages: in the first one, each inequality pointwise measure is decomposed by sources and by subpopulations; in the second one, the decomposition of the synthetic index is obtained, by averaging the previously decomposed pointwise measures. An important feature of this multi-decomposition is that it allows to assess the portion of the global inequality related to each source in each subpopulation, since most of the decomposition procedures proposed in the literature are not able to achieve such goal. The proposed joint decomposition permits also to obtain, as particular cases, two ‘‘marginal’’ decompositions by sources and by subpopulations of the Zenga-84 index, already introduced in the literature. To show the usefulness of the described multi-decomposition, an application about the household consumption is provided. The real considered dataset comes from the Household Consumption Expenditure Survey provided by ISTAT.
Articolo in rivista - Articolo scientifico
Decomposition by sources; Decomposition by subpopulations; Income inequality; Joint decomposition; Zenga-84 inequality index;
English
2020
18
1
53
59
reserved
de Battisti, F., Porro, F. (2020). A joint decomposition of the Zenga-84 inequality index. STATISTICA & APPLICAZIONI, 18(1), 53-59 [10.26350/999999_000030].
File in questo prodotto:
File Dimensione Formato  
DIME2020ShortPaperDebaPorro_final.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 353.4 kB
Formato Adobe PDF
353.4 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/322134
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
Social impact