f-Gintropy: An Entropic Distance Ranking Based on the Gini Index

We consider an entropic distance analog quantity based on the density of the Gini index in the Lorenz map, i.e., gintropy. Such a quantity might be used for pairwise mapping and ranking between various countries and regions based on income and wealth inequality. Its generalization to f-gintropy, usi...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2022-03, Vol.24 (3), p.407
Main Authors: Biró, Tamás Sándor, Telcs, András, Józsa, Máté, Néda, Zoltán
Format: Article
Language:English
Subjects:
Entropy
Gini index
gintropy
Income
Inequality
Integrals
Ranking
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Summary:We consider an entropic distance analog quantity based on the density of the Gini index in the Lorenz map, i.e., gintropy. Such a quantity might be used for pairwise mapping and ranking between various countries and regions based on income and wealth inequality. Its generalization to f-gintropy, using a function of the income or wealth value, distinguishes between regional inequalities more sensitively than the original construction.
ISSN:1099-4300
1099-4300
DOI:10.3390/e24030407