The properties of the extended Gini measures of variability and inequality
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- D'Ambrosio, Conchita & Frick, Joachim R., 2004.
"Subjective Well-Being and Relative Deprivation: An Empirical Link,"
IZA Discussion Papers
1351, Institute of Labor Economics (IZA).
- Conchita D'Ambrosio & Joachim R. Frick, 2004. "Subjective Well-Being and Relative Deprivation: An Empirical Link," Discussion Papers of DIW Berlin 449, DIW Berlin, German Institute for Economic Research.
- Gregory-Allen, Russell B & Shalit, Haim, 1999. "The Estimation of Systematic Risk under Differentiated Risk Aversion: A Mean-Extended Gini Approach," Review of Quantitative Finance and Accounting, Springer, vol. 12(2), pages 135-157, March.
- Duclos, Jean-Yves, 1998. "Social evaluation functions, economic isolation and the Suits index of progressivity," Journal of Public Economics, Elsevier, vol. 69(1), pages 103-121, July.
- Dorfman, Robert, 1979. "A Formula for the Gini Coefficient," The Review of Economics and Statistics, MIT Press, vol. 61(1), pages 146-149, February.
- Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
- Samuel Kotz & Christian Kleiber, 2002. "A characterization of income distributions in terms of generalized Gini coefficients," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 789-794.
- Giovanni Maria Giorgi, 2005. "A fresh look at the topical interest of the Gini concentration ratio," Econometrics 0511005, University Library of Munich, Germany.
- Angus Deaton, 2001.
"Relative Deprivation, Inequality, and Mortality,"
NBER Working Papers
8099, National Bureau of Economic Research, Inc.
- Angus Deaton, 2001. "Relative deprivation, inequality, and mortality," Working Papers 275, Princeton University, Woodrow Wilson School of Public and International Affairs, Center for Health and Wellbeing..
- Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(2), pages 141-162, March.
- Chakravarty, Satya R, 1988. "Extended Gini Indices of Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 147-156, February.
- Donaldson, David & Weymark, John A., 1983.
"Ethically flexible gini indices for income distributions in the continuum,"
Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
- DONALDSON, David & WEYMARK, John A., 1983. "Ethically flexible Gini indices for income distributions in the continuum," LIDAM Reprints CORE 520, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
- Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 807-810.
- Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-547, August.
- Kapteyn, Arie & Wansbeek, Tom, 1982. "Empirical evidence on preference formation," Journal of Economic Psychology, Elsevier, vol. 2(2), pages 137-154, June.
- Duangkamon Chotikapanich & William Griffiths, 2001.
"On Calculation of the Extended Gini Coefficient,"
Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(4), pages 541-547, December.
- Chotikapanich, D. & Griffiths, W., 2001. "On Calculation of the Extended Gini Coefficient," Department of Economics - Working Papers Series 801, The University of Melbourne.
- Walter Bossert & Conchita D’Ambrosio, 2007.
"Dynamic Measures of Individual Deprivation,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 77-88, January.
- Walter Bossert & Conchita d'Ambrosio, 2005. "Dynamic Measures of Individual Deprivation," Working Papers 12, ECINEQ, Society for the Study of Economic Inequality.
- BOSSERT, Walter & D'AMBROSIO, Conchita, 2005. "Dynamic Measures of Individual Deprivation," Cahiers de recherche 2005-10, Universite de Montreal, Departement de sciences economiques.
- BOSSERT, Walter & D’AMBROSIO, Conchita, 2005. "Dynamic Measures of Individual Deprivation," Cahiers de recherche 11-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- repec:pri:cheawb:deaton_relative_deprivation.pdf is not listed on IDEAS
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- repec:bla:scandj:v:93:y:1991:i:3:p:421-37 is not listed on IDEAS
- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Layard, Richard, 1980. "Human Satisfactions and Public Policy," Economic Journal, Royal Economic Society, vol. 90(363), pages 737-750, December.
- 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.
- repec:bla:revinw:v:47:y:2001:i:4:p:541-47 is not listed on IDEAS
- Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
- Frick, Joachim R. & Goebel, Jan & Schechtman, Edna & Wagner, Gert G. & Yitzhaki, Shlomo, 2004. "Using Analysis of Gini (ANoGi) for Detecting Whether Two Sub-Samples Represent the Same Universe: The SOEP Experience," IZA Discussion Papers 1049, Institute of Labor Economics (IZA).
- Giovanni Maria Giorgi, 2005. "Bibliographic portrait of the Gini concentration ratio," Econometrics 0511004, University Library of Munich, Germany.
- Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
- Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Moshe Shaked & Miguel A. Sordo & Alfonso Suárez-Llorens, 2012. "Global Dependence Stochastic Orders," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 617-648, September.
- Hasan Vergil & Fuat Sekmen & Haşmet Gökirmak & Sukru Apaydin, 2022. "2008 financial crisis and income distribution in Turkey," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(4), pages 2627-2643, August.
- Berkhouch, Mohammed & Lakhnati, Ghizlane, 2017. "Extended Gini-type measures of risk and variability," MPRA Paper 80329, University Library of Munich, Germany.
- Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2017. "Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 554-560.
- Mohammed Berkhouch & Ghizlane Lakhnati & Marcelo Brutti Righi, 2018.
"Extended Gini-Type Measures of Risk and Variability,"
Applied Mathematical Finance, Taylor & Francis Journals, vol. 25(3), pages 295-314, May.
- Mohammed Berkhouch & Ghizlane Lakhnati & Marcelo Brutti Righi, 2017. "Extended Gini-type measures of risk and variability," Papers 1707.07322, arXiv.org, revised Mar 2018.
- Fabio Clementi & Mauro Gallegati & Lisa Gianmoena & Simone Landini & Joseph E. Stiglitz, 2019. "Mis-measurement of inequality: a critical reflection and new insights," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(4), pages 891-921, December.
- Wędrowska Ewa & Muszyńska Joanna, 2021. "The Impact of Family and Child-Allowances on Income Inequality in Poland. Gini Decomposition by Income Sources," Folia Oeconomica Stetinensia, Sciendo, vol. 21(1), pages 144-160, June.
- Fangzheng Li & Fen Zhang & Xiong Li & Peng Wang & Junhui Liang & Yuting Mei & Wenwen Cheng & Yun Qian, 2017. "Spatiotemporal Patterns of the Use of Urban Green Spaces and External Factors Contributing to Their Use in Central Beijing," IJERPH, MDPI, vol. 14(3), pages 1-17, February.
- Thomas L. Hungerford, 2020. "The Course of Income Inequality as a Cohort Ages into Old-Age," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 71-90, March.
- José Manuel Gavilan-Ruiz & África Ruiz-Gándara & Francisco Javier Ortega-Irizo & Luis Gonzalez-Abril, 2024. "Some Notes on the Gini Index and New Inequality Measures: The nth Gini Index," Stats, MDPI, vol. 7(4), pages 1-12, November.
- Mohammed Berkhouch & Fernanda Maria Müller & Ghizlane Lakhnati & Marcelo Brutti Righi, 2022. "Deviation-Based Model Risk Measures," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 527-547, February.
- Marta Cardin & Bennett Eisenberg & Luisa Tibiletti, 2012. "Bid and Ask Prices Tailored to Traders' Risk Aversion and Gain Propension: a Normative Approach," International Journal of Business Research and Management (IJBRM), Computer Science Journals (CSC Journals), vol. 3(6), pages 294-306, December.
- Hu, Taizhong & Chen, Ouxiang, 2020. "On a family of coherent measures of variability," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 173-182.
- Klein, Ingo & Mangold, Benedikt, 2015. "Cumulative Paired 𝜙-Entropy," FAU Discussion Papers in Economics 07/2015, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
- Tohid Atashbar, 2011. "Privatisation as Proxy of Distribution: Is it possible? (The Justice Shares Mass Privatisation Case of Iran)," Poverty & Public Policy, John Wiley & Sons, vol. 3(4), pages 1-18, December.
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.- 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.
- 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.
- 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.
- Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
- E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 129-146, August.
- 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).
- Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 253-277, December.
- Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2000.
"Classical Horizontal Inequity and Reranking: an Integrated Approach,"
Cahiers de recherche
0002, Université Laval - Département d'économique.
- Jean-Yves Duclos & Vincent Jalbert & Abdelkrim Araar, 2001. "Classical Horizontal Inequity and Reranking: an Integrated Approach," UFAE and IAE Working Papers 478.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Duclos, J.Y. & Jalbert, V. & Araar, A., 2000. "Classical Horizontal Inequity and Reranking: an Integrated Approach," Papers 0002, Laval - Recherche en Politique Economique.
- Christopher Bennett & Ričardas Zitikis, 2015. "Ignorance, lotteries, and measures of economic inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 309-316, June.
- Kleiber, Christian, 2005.
"The Lorenz curve in economics and econometrics,"
Technical Reports
2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Kleiber, Christian, 2007. "The Lorenz curve in economics and econometrics," Working papers 2007/09, Faculty of Business and Economics - University of Basel.
- Rolf Aaberge, 2007.
"Gini’s nuclear family,"
The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 305-322, December.
- Rolf Aaberge, 2006. "Gini's Nuclear Family," Discussion Papers 491, Statistics Norway, Research Department.
- Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2003. "Classical Horizontal Inequity and Reranking: an Integrating Approach," Cahiers de recherche 0306, CIRPEE.
- Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
- repec:ebl:ecbull:v:3:y:2003:i:19:p:1-16 is not listed on IDEAS
- 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.
- 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.
- Claudio Zoli, 2002.
"Inverse stochastic dominance, inequality measurement and Gini indices,"
Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
- Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 9(1), pages 119-161, December.
- Jean-Yves Duclos & Abdelkrim Araar, 2003.
"An Atkinson-Gini family of social evaluation functions,"
Economics Bulletin, AccessEcon, vol. 3(19), pages 1-16.
- Araar, Abdelkrim & Duclos, Jean-Yves, 1998. "An Atkinson-Gini Family of Social Evaluation Functions," Cahiers de recherche 9826, Université Laval - Département d'économique.
- Abdelkrim Araar & Jean-Yves Duclos, 2001. "An Atkinson-Gini Family of Social Evaluation Functions," UFAE and IAE Working Papers 476.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
- Haim Shalit & Shlomo Yitzhaki, 2010.
"How does beta explain stochastic dominance efficiency?,"
Review of Quantitative Finance and Accounting, Springer, vol. 35(4), pages 431-444, November.
- Haim Shalit & Shlomo Yitzhaki, 2008. "How Does Beta Explain Stochastic Dominance Efficiency?," Working Papers 0813, Ben-Gurion University of the Negev, Department of Economics.
- Miguel Sordo & Jorge Navarro & José Sarabia, 2014. "Distorted Lorenz curves: models and comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 761-780, April.
Corrections
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:mtn:ancoec:si7. 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: Marco Alfo' (email available below). General contact details of provider: .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.