Work

Extending the Gini index to higher dimensions via whitening processes

Year: 2025

Type: article

Abstract: Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem in many fields of science and engineering. In this paper, we propose to extend the well-known univariate Gini coefficient to multivariate distributions by maintaining most of its properties. Our extension is based on applying whitening processes that possess the property of scale stability.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1050

Authors: Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani

Institutions: University of Padua, University of Pavia, Istituto di Matematica Applicata e Tecnologie Informatiche

Language: English

Topic: Income, Poverty, and Inequality

Subfield: Sociology and Political Science

Field: Social Sciences

Domain: Social Sciences

SDG: Reduced inequalities

Open Access status: diamond

OpenAlex ID: W4409942854

FWCI: 12.69

Cites:

Cited by: 7

Related to: 10