The aim of this article is to establish an ordering related to the inequality for the recently introduced Zenga distribution. In addition to the well-known order based on the Lorenz curve, the order based on I(p) curve is considered. Since the Zenga distribution seems to be suitable to model wealth, financial, actuarial, and, especially, income distributions, these findings are fundamental in the understanding of how parameter values are related to inequality. This investigation shows that for the Zenga distribution, two of the three parameters are inequality indicators.

Porro, F. (2015). Zenga Distribution and Inequality Ordering. COMMUNICATIONS IN STATISTICS. THEORY AND METHODS, 44(18), 3967-3977 [10.1080/03610926.2013.819921].

Zenga Distribution and Inequality Ordering

PORRO, FRANCESCO
2015

Abstract

The aim of this article is to establish an ordering related to the inequality for the recently introduced Zenga distribution. In addition to the well-known order based on the Lorenz curve, the order based on I(p) curve is considered. Since the Zenga distribution seems to be suitable to model wealth, financial, actuarial, and, especially, income distributions, these findings are fundamental in the understanding of how parameter values are related to inequality. This investigation shows that for the Zenga distribution, two of the three parameters are inequality indicators.
No
Articolo in rivista - Articolo scientifico
Scientifica
Convex order; Lorenz order; stochastic order; Zenga distribution; Zenga index;
Convex order; Lorenz order; stochastic order; Zenga distribution; Zenga index; Statistics and Probability
English
3967
3977
11
Porro, F. (2015). Zenga Distribution and Inequality Ordering. COMMUNICATIONS IN STATISTICS. THEORY AND METHODS, 44(18), 3967-3977 [10.1080/03610926.2013.819921].
Porro, F
File in questo prodotto:
File Dimensione Formato  
Paper4.pdf

accesso aperto

Descrizione: il file allegato è un post-print dell'autore
Dimensione 204.92 kB
Formato Adobe PDF
204.92 kB 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/10281/103980
Citazioni
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 1
Social impact