A Note on the Relationship between Top Income Shares and the Gini Coefficient

Facundo Alvaredo ()

No 8071, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G*(1 - S) + S, where G* is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.

Keywords: Pareto distribution; Top income shares; Gini coefficient (search for similar items in EconPapers)
JEL-codes: D31 H2 (search for similar items in EconPapers)
Date: 2010-10
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
https://cepr.org/publications/DP8071 (application/pdf)
CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

Related works:
Journal Article: A note on the relationship between top income shares and the Gini coefficient (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cpr:ceprdp:8071

Ordering information: This working paper can be ordered from
https://cepr.org/publications/DP8071

Access Statistics for this paper

More papers in CEPR Discussion Papers from C.E.P.R. Discussion Papers Centre for Economic Policy Research, 33 Great Sutton Street, London EC1V 0DX.
Bibliographic data for series maintained by ().