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On a class of bi-polarization variance-based measurement: Evidence from Cameroonian data

  • Chameni Nembua, Célestin

This paper revisits one of the bipolarization indices of the large class of Duclos-Estebane-Ray polarization measures. The relationship between polarization, inequality and poverty is analyzed via the index. First, polarization measure for the median is defined and related to the subtraction of the between group and the within-groups components of the coefficient of variation squared. Second, the generalized bipolarization measure is defined and related to poverty via the headcount ratio, the income gap ratio and the overabundance gap ratio. In particular, it is shown that polarization is high when the headcount ratio is around 0.5 and polarization is little when the headcount ratio is far from this value. Third, the preceding results are applied to analyze the Cameroonian household’s consumption distribution.

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File URL: https://mpra.ub.uni-muenchen.de/25411/1/MPRA_paper_25411.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 25411.

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Date of creation: 10 Jul 2010
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Handle: RePEc:pra:mprapa:25411
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  1. 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).
  2. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  3. 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.
  4. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
  5. 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.
  6. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  7. 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.
  8. Juan Gabriel Rodríguez, 2004. "Measuring polarization, inequality, welfare and poverty," Economic Working Papers at Centro de Estudios Andaluces E2004/75, Centro de Estudios Andaluces.
  9. 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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