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The Extended Atkinson Family and Changes in the Expenditure Distribution: Spain 1973/74-2003

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Author Info
Goerlich, Francisco José
Lasso de la Vega, Mª Casilda
Urrutia, Ana Marta

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Abstract

This paper emphasizes the properties of a family of inequality measures which extends the Atkinson indices and is axiomatically characterized by a multiplicative decomposition property where the withingroup component is a generalized weighted mean with weights summing exactly to 1. This family contains canonical forms of all aggregative inequality measures, each bounded above by 1, has a useful and intuitive geometric interpretation and provides an alternative dominance criterion for ordering distributions in terms of inequality. Taking the Spanish Household Budget Surveys (HBS) for 1973/74, 1980/81, and 1990/91 and the more recent Continuous HBS for 2003, we show the advantages and possibilities of this extended family in regard to completing and detailing information in studies of inequality focussing on the tails of the distribution and on the changes in the distribution when the population is partitioned into population subgroups.

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File URL: http://mpra.ub.uni-muenchen.de/16256/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 16256.

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Date of creation: 2009
Date of revision: 2009
Publication status: Published in Journal of Income Distribution 1.18(2009): pp. 20-41
Handle: RePEc:pra:mprapa:16256

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Related research
Keywords: inequality measurement; Atkinson indices;

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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  1. Cowell, Frank A. & Kuga, Kiyoshi, 1981. "Additivity and the entropy concept: An axiomatic approach to inequality measurement," Journal of Economic Theory, Elsevier, vol. 25(1), pages 131-143, August. [Downloadable!] (restricted)
  2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April. [Downloadable!] (restricted)
  3. Josep Oliver Alonso & Xavier Ramos & José Luis Raymond-Bara, 2001. "Recent trends in Spanish Income Distribution: A Robust Picture of Falling Income Inequality," Working Papers wp0107, Department of Applied Economics at Universitat Autonoma of Barcelona. [Downloadable!]
  4. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 521-31, April. [Downloadable!] (restricted)
  5. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July. [Downloadable!] (restricted)
  6. Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2003. "A new factorial decomposition for the atkinson measure," Economics Bulletin, Economics Bulletin, vol. 4(29), pages 1-12. [Downloadable!]
  7. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 485-97, July. [Downloadable!] (restricted)
  8. Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2005. "Path independent multiplicatively decomposable inequality measures," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 379-387, May. [Downloadable!]
  9. Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," Journal of Economic Inequality, Springer, vol. 4(3), pages 253-277, December. [Downloadable!] (restricted)
  10. Theil, Henri & Sorooshian, Cyrus, 1979. "Components of the change in regional inequality," Economics Letters, Elsevier, vol. 4(2), pages 191-193. [Downloadable!] (restricted)
  11. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-85, November. [Downloadable!] (restricted)
  12. Davies, James & Hoy, Michael, 1995. "Making Inequality Comparisons When Lorenz Curves Intersect," American Economic Review, American Economic Association, vol. 85(4), pages 980-86, September. [Downloadable!] (restricted)
  13. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
  15. Russell, R Robert, 1985. "A Note on Decomposable Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 52(2), pages 347-52, April. [Downloadable!] (restricted)
  16. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April. [Downloadable!] (restricted)
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