Decomposition of the Gini Index in the Presence of Observations with Negative Values

• Autorzy: Katarzyna Ostasiewicz , Achille Vernizzi
• Języki publikacji: EN

Abstrakty

EN

The problem of calculating the Gini index in the presence of negative inputs may be overcome by decomposing the quantity at stake into "positive" and "negative" parts, which, by definition, include only non-negative values. For such constructed sources, concentration indexes may be calculated and their influence on the overall inequality evaluated. In the paper we present the methodology of such an assessment and illustrate it with the example of Italian income data.(original abstract)

Słowa kluczowe

EN

Gini coefficient

PL

Współczynnik Giniego

• Czasopismo: Mathematical Economics
• Rocznik: 2018
• Numer: nr 14 (21)
• Strony: 37--50

Twórcy

autor

Katarzyna Ostasiewicz

• Wrocław University of Economics, Poland

autor

Achille Vernizzi

• University of Milan, Italy

Bibliografia

• Banca d'Italia. https://www.bancaditalia.it/statistiche/basi-dati/bds/index.html.
• Berrebi Z.M., Silber J. (1985). The Gini index and negative income: A comment. Oxford Economic Papers. No. 37, pp. 525-526.
• Carbonaro G. (1985). Nota sulle scale di equivalenza. [In:] Presidenza del consigliodeiministry. La povertà in Italia - Rapporto conclusivo della Commissione di studio istituita presso la Presidenza del Consiglio dei Ministri. Roma. Istituto Poligrafico e Zecca dello Stato, pp. 153-159.
• Dagum C. (1998). A New Approach to the Decomposition of the Gini Income Inequality Ratio. [In:] Income Inequality, Poverty, and Economic Welfare. Physica-Verlag HD, pp. 47-63.
• Ostasiewicz K., Vernizzi A. (2017). Decomposition and normalization of absolute differences, when positive and negative values are considered: Applications to the Gini index. Quantitative Methods in Economics. No. 18(3), pp. 472-491.
• Podder N. (1993). A new decomposition of the Gini index among groups and its interpretations with applications to Australia. Sankhyā: The Indian Journal of Statistics, Series B, pp. 262-271.
• Raffinetti E., Siletti E., Vernizzi A. (2015). On the Gini index Normalization when Attributes with Negative Values Are Considered. Statistical Methods & Applications. No. 24, pp. 507-521.

Identyfikatory

DOI

10.15611/me.2018.14.04