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A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality

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  • Satya Chakravarty

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Article provided by Springer in its journal The Journal of Economic Inequality.

Volume (Year): 5 (2007)
Issue (Month): 3 (December)
Pages: 339-351

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Handle: RePEc:kap:jecinq:v:5:y:2007:i:3:p:339-351

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Web page: http://springerlink.metapress.com/link.asp?id=111137

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Keywords: inequality; Bonferroni index; welfare; transfers; depression; characterization; C43; D31; D63; O15;

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References

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  1. 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.
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  3. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-36, February.
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  8. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 2(4), pages 395-97, October.
  9. Chakravarty, Satya R. & Dutta, Bhaskar, 1990. "Migration and welfare," European Journal of Political Economy, Elsevier, vol. 6(1), pages 119-138, August.
  10. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-28, October.
  11. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, Econometric Society, vol. 48(2), pages 437-46, March.
  12. Indranil Dutta & Prasanta K. Pattanaik & Yongsheng Xu, 2003. "On Measuring Deprivation and the Standard of Living in a Multidimensional Framework on the Basis of Aggregate Data," Economica, London School of Economics and Political Science, London School of Economics and Political Science, vol. 70(278), pages 197-221, 05.
  13. Giovanni Maria Giorgi & Riccardo Mondani, 2005. "Sampling distribution of the Bonferroni inequality index from exponential population," Econometrics, EconWPA 0507008, EconWPA.
  14. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 93(2), pages 321-24, May.
  15. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 2(4), pages 400-405, October.
  16. Satya Chakravarty & Diganta Mukherjee, 1999. "Measures of Deprivation and their Meaning in Terms of Social Satisfaction," Theory and Decision, Springer, Springer, vol. 47(1), pages 89-100, August.
  17. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, Springer, vol. 16(2), pages 183-196.
  18. 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 147-56, February.
  19. BOSSERT, Walter & D'AMBROSIO, Conchita, 2005. "Dynamic Measures of Individual Deprivation," Cahiers de recherche, Universite de Montreal, Departement de sciences economiques 2005-10, Universite de Montreal, Departement de sciences economiques.
  20. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
  21. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 2(4), pages 384-94, October.
  22. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, Econometric Society, vol. 44(4), pages 805-09, July.
  23. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 95(3), pages 567-73, November.
  24. Lambert, Peter J., 1985. "Social welfare and the gini coefficient revisited," Mathematical Social Sciences, Elsevier, Elsevier, vol. 9(1), pages 19-26, February.
  25. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  26. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  27. Satya R. Chakravarty, 2003. "A Generalized Human Development Index," Review of Development Economics, Wiley Blackwell, Wiley Blackwell, vol. 7(1), pages 99-114, February.
  28. Giovanni Maria Giorgi & Michele Crescenzi, 2005. "A proposal of poverty measures based on the Bonferroni inequality index," Econometrics, EconWPA 0507010, EconWPA.
  29. Berrebi, Z. M. & Silber, Jacques, 1981. "Weighting income ranks and levels : A Multiple-Parameter Generalization For Absolute and Relative Inequality Indices," Economics Letters, Elsevier, vol. 7(4), pages 391-397.
  30. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  31. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  32. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer, Springer, vol. 17(4), pages 639-653.
  33. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  34. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-15, February.
  35. 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.
  36. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  37. 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, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
  38. Giovanni Maria Giorgi, 2005. "A methodological survey of recent studies for the measurement of inequality of economic welfare carried out by some Italian statisticians," Econometrics, EconWPA 0509007, EconWPA.
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Citations

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Cited by:
  1. Luis Imedio-Olmedo & Encarnación Parrado-Gallardo & Elena Bárcena-Martín, 2012. "Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction," Social Indicators Research, Springer, Springer, vol. 109(3), pages 471-491, December.
  2. Subramanian, S., 2012. "On a Distance Function-Based Inequality Measure in the Spirit of the Bonferroni and Gini Indices," Working Paper Series, World Institute for Development Economic Research (UNU-WIDER) UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  3. Oihana Aristondo & JosŽ Luis Garc’a-Lapresta & Casilda Lasso de la Vega & Ricardo Alberto Marques Pereira, 2012. "Classical inequality indices, welfare functions, and the dual decomposition," DISA Working Papers, Department of Computer and Management Sciences, University of Trento, Italy 2012/06, Department of Computer and Management Sciences, University of Trento, Italy, revised Jun 2012.
  4. Jacques Silber & Hyun Son, 2010. "On the link between the Bonferroni index and the measurement of inclusive growth," Economics Bulletin, AccessEcon, vol. 30(1), pages 421-428.
  5. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer, Springer, vol. 41(4), pages 763-787, October.
  6. Lidia Ceriani & Chiara Gigliarano, 2011. "An inter-temporal relative deprivation index," Working Papers 237, ECINEQ, Society for the Study of Economic Inequality.
  7. repec:ebl:ecbull:v:30:y:2010:i:1:p:421-428 is not listed on IDEAS

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