Gini’s concentration measure: observations on the calculation formulas and Dalton’s Principle of Population. Proposal of a factor correction

Abstract

The first section of this paper will examine different calculations of the ratio of concentration known as Gini’s coefficient or index and the non-observance of the axiom known as "replication invariance" or "Dalton population principle" by someone of them. The reach of the conclusions is limited to the behavior of such formulas when applied to distributions of disaggregated data. The second part proposes a correction factor for the Gini coeffcient formulas analysed in order for them to fulfill the Dalton population principle