We consider the binomial decomposition of generalized Gini welfare functions in terms of the binomial welfare functions and the associated binomial inequality indices. We examine in detail the weights of the binomial welfare functions and the coefficients of the associated binomial inequality indices which progressively focus on the poorest sector of the population, and we illustrate the numerical behavior of the binomial welfare functions and inequality indices in relation with a new parametric family of income distributions. The main contribution of the paper is to investigate the analogy between the binomial welfare functions and the S-Gini and Lorenzen parametric families of generalized Gini welfare functions, particularly in the context of the binomial decomposition. Finally, we examine the orness of the parametric S-Gini and Lorenzen families of generalized Gini welfare functions.

The binomial decomposition of generalized Gini welfare functions, the S-Gini and Lorenzen cases / Bortot, Silvia; Fedrizzi, Mario; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy. - In: INFORMATION SCIENCES. - ISSN 0020-0255. - STAMPA. - 460-461:(2018), pp. 555-577. [10.1016/j.ins.2017.07.028]

The binomial decomposition of generalized Gini welfare functions, the S-Gini and Lorenzen cases

Bortot, Silvia;Fedrizzi, Mario;Marques Pereira, Ricardo Alberto;Nguyen, Hong Thuy
2018

Abstract

We consider the binomial decomposition of generalized Gini welfare functions in terms of the binomial welfare functions and the associated binomial inequality indices. We examine in detail the weights of the binomial welfare functions and the coefficients of the associated binomial inequality indices which progressively focus on the poorest sector of the population, and we illustrate the numerical behavior of the binomial welfare functions and inequality indices in relation with a new parametric family of income distributions. The main contribution of the paper is to investigate the analogy between the binomial welfare functions and the S-Gini and Lorenzen parametric families of generalized Gini welfare functions, particularly in the context of the binomial decomposition. Finally, we examine the orness of the parametric S-Gini and Lorenzen families of generalized Gini welfare functions.
Bortot, Silvia; Fedrizzi, Mario; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy
The binomial decomposition of generalized Gini welfare functions, the S-Gini and Lorenzen cases / Bortot, Silvia; Fedrizzi, Mario; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy. - In: INFORMATION SCIENCES. - ISSN 0020-0255. - STAMPA. - 460-461:(2018), pp. 555-577. [10.1016/j.ins.2017.07.028]
File in questo prodotto:
File Dimensione Formato  
Bortot-Fedrizzi-MarquesPereira-Nguyen IS.2018.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 4.98 MB
Formato Adobe PDF
4.98 MB Adobe PDF   Visualizza/Apri
The binomial_IS 2018 Bortot-Fedrizzi-MarquesPereira-Nguyen - AAM.pdf

accesso aperto

Tipologia: Post-print referato (Refereed author’s manuscript)
Licenza: Creative commons
Dimensione 6.09 MB
Formato Adobe PDF
6.09 MB Adobe PDF Visualizza/Apri

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: http://hdl.handle.net/11572/182246
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact