Polarization: Concepts, Measurement, Estimation

by: Jean-Yves Duclos, Joan Esteban, Debraj Ray

Econometrica, Vol. 72, No. 6. (2004), pp. 1737-1772.

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Abstract

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.

@article{citeulike:1353538, abstract = {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.}, author = {Duclos, Jean-Yves and Esteban, Joan and Ray, Debraj }, citeulike-article-id = {1353538}, doi = {http://dx.doi.org/10.1111/j.1468-0262.2004.00552.x}, journal = {Econometrica}, keywords = {poum}, number = {6}, pages = {1737--1772}, posted-at = {2007-06-01 01:36:16}, priority = {2}, title = {Polarization: Concepts, Measurement, Estimation}, url = {http://dx.doi.org/10.1111/j.1468-0262.2004.00552.x}, volume = {72}, year = {2004} }

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TY - JOUR ID - citeulike:1353538 L3 - citeulike-article-id:1353538 N2 - 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. IS - 6 JF - Econometrica EP - 1772 TI - Polarization: Concepts, Measurement, Estimation VL - 72 SP - 1737 KW - poum AU - Duclos, Jean-Yves AU - Esteban, Joan AU - Ray, Debraj PY - 2004/// UR - http://dx.doi.org/10.1111/j.1468-0262.2004.00552.x ER -

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