The barycenter of the distribution and its application to the measurement of inequality: The Balance of Inequality, the Gini index, and the Lorenz curve
Author
Abstract
Suggested Citation
Download full text from publisher
Other versions of this item:
- Giorgio Di Maio, 2022. "The Barycenter of the Distribution and Its Application to the Measurement of Inequality: The Balance of Inequality, the Gini Index, and the Lorenz Curve," LIS Working papers 830, LIS Cross-National Data Center in Luxembourg.
References listed on IDEAS
- Giorgio Di Maio & Paolo Landoni, 2015. "Beyond the Gini index: Measuring inequality with the Balance of Inequality index," a/ Working Papers Series 1506, Italian Association for the Study of Economic Asymmetries, Rome (Italy).
- Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
- Alvaredo, Facundo, 2011.
"A note on the relationship between top income shares and the Gini coefficient,"
Economics Letters, Elsevier, vol. 110(3), pages 274-277, March.
- Alvaredo, Facundo, 2010. "A Note on the Relationship between Top Income Shares and the Gini Coefficient," CEPR Discussion Papers 8071, C.E.P.R. Discussion Papers.
- Giovanni Maria Giorgi & Saralees Nadarajah, 2010. "Bonferroni and Gini indices for various parametric families of distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 23-46.
- Milanovic, Branko, 1997. "A simple way to calculate the Gini coefficient, and some implications," Economics Letters, Elsevier, vol. 56(1), pages 45-49, September.
- Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
- Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-809, July.
- Corrado Gini, 2005. "On the measurement of concentration and variability of characters," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 1-38.
- Giovanni Giorgi, 2014. "A couple of good reasons to translate papers of the Italian statistical tradition," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 1-3, April.
- Matti Langel & Yves Tillé, 2013. "Variance estimation of the Gini index: revisiting a result several times published," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 176(2), pages 521-540, February.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
- Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
- Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
- Greselin Francesca, 2014. "More Equal and Poorer, or Richer but More Unequal?," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 99-117, December.
- Greselin, Francesca & Zitikis, Ricardas, 2015. "Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references," MPRA Paper 65892, University Library of Munich, Germany.
- Alessio Guandalini, 2022. "Things you should know about the Gini index," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 76(4), pages 4-12, October-D.
- Yang Wei & Zhouping Li & Yunqiu Dai, 2022. "Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices," Statistical Papers, Springer, vol. 63(5), pages 1415-1475, October.
- Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
- Francesca Greselin & Ričardas Zitikis, 2018. "From the Classical Gini Index of Income Inequality to a New Zenga-Type Relative Measure of Risk: A Modeller’s Perspective," Econometrics, MDPI, vol. 6(1), pages 1-20, January.
- Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.
- Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011.
"Measuring long-term inequality of opportunity,"
Journal of Public Economics, Elsevier, vol. 95(3-4), pages 193-204, April.
- Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011. "Measuring long-term inequality of opportunity," Journal of Public Economics, Elsevier, vol. 95(3), pages 193-204.
- Rolf Aaberge & Magne Mogstad & Vito Peragine, 2010. "Measuring long-term inequality of opportunity," Discussion Papers 620, Statistics Norway, Research Department.
- Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2010. "Measuring Long-Term Inequality of Opportunity," IZA Discussion Papers 4714, Institute of Labor Economics (IZA).
- Rolf Aaberge & Magne Mogstad & Vito Peragine, 2010. "Measuring long-term inequality of opportunity," Working Papers 158, ECINEQ, Society for the Study of Economic Inequality.
- Rolf Aaberge & Magne Mogstad, 2011.
"Robust inequality comparisons,"
The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 353-371, September.
- Aaberge, Rolf & Mogstad, Magne, 2010. "Robust Inequality Comparisons," IZA Discussion Papers 4769, Institute of Labor Economics (IZA).
- Rolf Aaberge & Magne Mogstad, 2010. "Robust Inequality Comparisons," Discussion Papers 623, Statistics Norway, Research Department.
- Rolf Aaberge & Magne Mogstad, 2010. "Robust inequality comparisons," Working Papers 163, ECINEQ, Society for the Study of Economic Inequality.
- Rolf Aaberge & Ugo Colombino & John E. Roemer, 2003.
"Optimal Taxation According to Equality of Opportunity: a Microeconometric Simulation Analysis,"
ICER Working Papers
05-2003, ICER - International Centre for Economic Research.
- Rolf Aaberge & Ugo Colombino & John E. Roemer, 2008. "Optimal Taxation According to Equality of Opportunity: A Microeconometric Simulation Analysis," CHILD Working Papers wp05_08, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
- Fontanari Andrea & Cirillo Pasquale & Oosterlee Cornelis W., 2020. "Lorenz-generated bivariate Archimedean copulas," Dependence Modeling, De Gruyter, vol. 8(1), pages 186-209, January.
- Rolf Aaberge, 2009.
"Ranking intersecting Lorenz curves,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
- Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Statistics Norway, Research Department.
- Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
- Rolf Aaberge, 2000. "Ranking intersectiong Lorenz Curves," ICER Working Papers 08-2000, ICER - International Centre for Economic Research.
- Aaberge, Rolf, 2008. "Ranking Intersecting Lorenz Curves," IZA Discussion Papers 3852, Institute of Labor Economics (IZA).
- Satya R. Chakravarty & Palash Sarkar, 2023.
"New perspectives on the Gini and Bonferroni indices of inequality,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
- Satya R. Chakravarty & Palash Sarkar, 2020. "New Perspectives on the Gini and Bonferroni Indices of Inequality," Working Papers 538, ECINEQ, Society for the Study of Economic Inequality.
- Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
- Banerjee, Suchismita & Chakrabarti, Bikas K. & Mitra, Manipushpak & Mutuswami, Suresh, 2020.
"On the Kolkata index as a measure of income inequality,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
- Suchismita Banerjee & Bikas K. Chakrabarti & Manipushpak Mitra & Suresh Mutuswami, 2019. "On the Kolkata index as a measure of income inequality," Papers 1905.03615, arXiv.org, revised Oct 2019.
- Ricardas Zitikis, 2002. "Analysis Of Indices Of Economic Inequality From A Mathematical Point Of View," RePAd Working Paper Series lrsp-TRS366, Département des sciences administratives, UQO.
- Rolf Aaberge & Ugo Colombino, 2005.
"Designing Optimal Taxes With a Microeconometric Model of Household Labour Supply,"
Public Economics
0510013, University Library of Munich, Germany.
- Rolf Aaberge & Ugo Colombino, 2008. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," CHILD Working Papers wp06_08, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
- Aaberge, Rolf & Colombino, Ugo, 2006. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," IZA Discussion Papers 2468, Institute of Labor Economics (IZA).
- Rolf Aaberge & Ugo Colombino, 2006. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," Discussion Papers 475, Statistics Norway, Research Department.
- Rolf Aaberge & Ugo Colombino, 2008. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," ICER Working Papers 19-2008, ICER - International Centre for Economic Research.
- Ugo Colombino & Rolf Aaberge, 2006. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," CHILD Working Papers wp20_06, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
- Rolf Aaberge & Ugo Colombino, 2006. "Designing Optimal Taxes with a Microeconometric Model of Household Labour Supply," ICER Working Papers 37-2006, ICER - International Centre for Economic Research.
More about this item
Keywords
Balance of Inequality; Balance of Inequality index; Barycenter; BOI index; Concentration; Concentration area; Concentration ratio; Gini index; Gini mean difference; Inequality; Income inequality; Lorenz curve; Pen parade; Quantile function.;All these keywords.
JEL classification:
- C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
- C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mib:wpaper:493. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Matteo Pelagatti (email available below). General contact details of provider: https://edirc.repec.org/data/dpmibit.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.