We show how the absolute differences approach is particularly effective to interpret the Gini coefficient (G) when a distribution includes both positive and negative values. Either in erasing units having negative values, or in transforming negative values into zero, a significant variability fraction can be lost. When including negative values, instead of correcting G, to maintain it lower than 1, the standard G should be kept to compare the variability among different situations; a recent normalization, Gp, can be associated to G, to evaluate the variability percentage inside each situation.
Decomposition and normalization of absolute differences, when positive and negative values are considered: applications to the Gini coefficient / K. Ostasiewicz, A. Vernizzi. - In: METODY ILOSCIOWE W BADANIACH EKONOMICZNYCH. - ISSN 2082-792X. - 18:3(2017 Oct), pp. 472-491.
Titolo: | Decomposition and normalization of absolute differences, when positive and negative values are considered: applications to the Gini coefficient |
Autori: | VERNIZZI, ACHILLE (Secondo) (Corresponding) |
Parole Chiave: | absolute difference components; negative values; normalization of Gini based coefficients |
Settore Scientifico Disciplinare: | Settore SECS-S/03 - Statistica Economica |
Data di pubblicazione: | ott-2017 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.22630/MIBE.2017.18.3.44 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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