Polarization: Concepts, Measurement, Estimation
We develop the measurement theory of polarization for the case in which income distributions can be described using density functions. The main theorem uniquely characterizes a class of polarization measures that fits into what we call the "identity-alienation" framework, and simultanously satisfies a set of axioms. Second, we provide sample estimators of population polarization indices that can be used to compare polarization across time or entities. Distribution-free statistical inference results are also used in order to ensure that the orderings of polarization across entities are not simply due to sampling noise. An illustration of the use of these tools using data from 21 countries shows that polarization and inequality orderings can often differ in practice. Copyright The Econometric Society 2004.
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Volume (Year): 72 (2004)
Issue (Month): 6 (November)
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-50, June.
- Alberto Alesina & Enrico Spolaore, 1997.
"On the Number and Size of Nations,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 112(4), pages 1027-1056.
- Hardle, Wolfgang & Linton, Oliver, 1986.
"Applied nonparametric methods,"
Handbook of Econometrics,
in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339
- Wolfgang Hardle & Oliver Linton, 1994. "Applied Nonparametric Methods," Cowles Foundation Discussion Papers 1069, Cowles Foundation for Research in Economics, Yale University.
- Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9206, Tilburg - Center for Economic Research.
- Oliver LINTON, . "Applied nonparametric methods," Statistic und Oekonometrie 9312, Humboldt Universitaet Berlin.
- HÄRDLE, Wolfgang, 1992. "Applied nonparametric methods," CORE Discussion Papers 1992003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9204, Catholique de Louvain - Institut de statistique.
- Härdle, W.K., 1992. "Applied Nonparametric Methods," Discussion Paper 1992-6, Tilburg University, Center for Economic Research.
- Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-63.
- Kakwani, Nanak, 1993. "Statistical Inference in the Measurement of Poverty," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 632-39, November.
- Chakravarty, Satya R & Majumder, Amita, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
- Norman Loayza & Pablo Fajnzylber & Daniel Lederman, 2000. "Crime and Victimization: An Economic Perspective," ECONOMIA JOURNAL OF THE LATIN AMERICAN AND CARIBBEAN ECONOMIC ASSOCIATION, ECONOMIA JOURNAL OF THE LATIN AMERICAN AND CARIBBEAN ECONOMIC ASSOCIATION, vol. 0(Fall 2000), pages 219-302, August.
- X. Zhang & R. Kanbur, 2001.
"What Difference Do Polarisation Measures Make? An Application to China,"
Journal of Development Studies,
Taylor & Francis Journals, vol. 37(3), pages 85-98.
- Zhang, Siao-Bo & Kanbur, Ravi, 1999. "What Difference Do Polarization Measures Make? An Application To China," Working Papers 7224, Cornell University, Department of Applied Economics and Management.
- Pagan,Adrian & Ullah,Aman, 1999.
Cambridge University Press, number 9780521355643, December.
- Russell Davidson & Jean-Yves Duclos, 2000.
"Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality,"
Econometric Society, vol. 68(6), pages 1435-1464, November.
- Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
- Davidson, Russell & Duclos, Jean-Yves, 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Cahiers de recherche 9805, Université Laval - Département d'économique.
- Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-21, December.
- Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September.
- Davidson, R. & Duclos, J.Y., 1995.
"Statistical Inference for the Measurement of the Incidence of Taxes and Transfers,"
95a30, Universite Aix-Marseille III.
- Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
- DAVIDSON, Russell & DUCLOS, Jean-Yves, 1995. "Statistical Inference for the Measurement of the Incidences of Taxes and Transfers," Cahiers de recherche 9521, Université Laval - Département d'économique.
- Davidson, R. & Duclos, J.Y., 1995. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Papers 9521, Laval - Recherche en Politique Economique.
- Chakravarty, Satya R. & Dutta, Bhaskar, 1990. "Migration and welfare," European Journal of Political Economy, Elsevier, vol. 6(1), pages 119-138, August.
- Bishop, John A & Chakraborti, S & Thistle, Paul D, 1989. "Asymptotically Distribution-Free Statistical Inference for Generalized Lorenz Curves," The Review of Economics and Statistics, MIT Press, vol. 71(4), pages 725-27, November.
- Joan-Maria Esteban & Debraj Ray, 1991.
"On the Measurement of Polarization,"
Boston University - Institute for Economic Development
18, Boston University, Institute for Economic Development.
- Esteban, J.M. & Ray, D., 1992. "On the Measurement of Polarization," UFAE and IAE Working Papers 171.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Esteban, J. & Ray, D., 1993. "On the Measurement of Polarization," UFAE and IAE Working Papers 221.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Conchita D'Ambrosio & Edward N. Wolff, .
"Is Wealth Becoming More Polarized in the United States?,"
Economics Working Paper Archive
wp_330, Levy Economics Institute.
- Conchita D'Ambrosio & Edward N. Wolff, 2001. "Is Wealth Becoming More Polarized in the United States?," Macroeconomics 0106006, EconWPA.
- Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
- Gradin, Carlos, 2000. "Polarization by Sub-populations in Spain, 1973-91," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(4), pages 457-74, December.
- Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 723-735.
- Davies, J. B. & Shorrocks, A. F., 1989. "Optimal grouping of income and wealth data," Journal of Econometrics, Elsevier, vol. 42(1), pages 97-108, September.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Esteban, J. & Gradin, C. & Ray, D., 1999. "Extension of a Measure of Polarization, with an Application to the Income Distribution of Five OECD Countries," Papers 24, El Instituto de Estudios Economicos de Galicia Pedro Barrie de la Maza.
- Juan G. Rodríguez & Rafael Salas, . "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
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