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Estimation Of Income Distribution And Detection Of Subpopulations: An Explanatory Model

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  • Emmanuel Flachaire
  • Olivier G. Núñez

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Abstract

Inequality and polarization analyses are complementary but conceptually different. They are usually implemented independently in practic e, with different a priori assumptions and different tools. In this paper, we develop a unique method to study simultaneously these different and complementary concerns. Based on mixture models, the method we develop includes at the same time : an estimation of income distribution with no a priori assumptions - a decomposition in several homogeneous subpopulations - an explanatory model to study the structure of the income distribution.

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Bibliographic Info

Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws030201.

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Length: 20 pages
Date of creation: Jan 2003
Date of revision:
Handle: RePEc:cte:wsrepe:ws030201

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References

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  1. Levy, Frank & Murnane, Richard J, 1992. "U.S. Earnings Levels and Earnings Inequality: A Review of Recent Trends and Proposed Explanations," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1333-81, September.
  2. Russell Davidson & Emmanuel Flachaire, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00175929, HAL.
  3. Schluter, Christian & Trede, Mark, 2002. "Tails of Lorenz curves," Journal of Econometrics, Elsevier, vol. 109(1), pages 151-166, July.
  4. 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.
  5. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
  6. 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.
  7. repec:cup:etheor:v:8:y:1992:i:4:p:476-88 is not listed on IDEAS
  8. Marron, J.S. & Schmitz, H.-P., 1992. "Simultaneous Density Estimation of Several Income Distributions," Econometric Theory, Cambridge University Press, vol. 8(04), pages 476-488, December.
  9. Beach, Charles M & Davidson, Russell, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 723-35, October.
  10. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166 Elsevier.
  11. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  12. Cowell, Frank A & Jenkins, Stephen P, 1995. "How Much Inequality Can We Explain? A Methodology and an Application to the United States," Economic Journal, Royal Economic Society, vol. 105(429), pages 421-30, March.
  13. Pudney, Stephen, 1993. "Income and Wealth Inequality and the Life Cycle: A Non-parametric Analysis for China," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 249-76, July-Sept.
  14. Furman, W. David & Lindsay, Bruce G., 1994. "Measuring the relative effectiveness of moment estimators as starting values in maximizing likelihoods," Computational Statistics & Data Analysis, Elsevier, vol. 17(5), pages 493-507, June.
  15. Jenkins, Stephen P, 1996. "Recent Trends in the UK Income Distribution: What Happened and Why?," Oxford Review of Economic Policy, Oxford University Press, vol. 12(1), pages 29-46, Spring.
  16. repec:ese:iserwp:99-22 is not listed on IDEAS
  17. Weiss, Yoram, 1972. "The Risk Element in Occupational and Educational Choices," Journal of Political Economy, University of Chicago Press, vol. 80(6), pages 1203-13, Nov.-Dec..
  18. Jenkins, Stephen P., 1995. "Did the middle class shrink during the 1980s? UK evidence from kernel density estimates," Economics Letters, Elsevier, vol. 49(4), pages 407-413, October.
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Cited by:
  1. Longford, Nicholas T. & Pittau, Maria Grazia, 2003. "Stability of household income in European countries in the 1990's," IRISS Working Paper Series 2003-08, IRISS at CEPS/INSTEAD.
  2. William E. Griffiths and Gholamreza Hajargasht, 2012. "GMM Estimation of Mixtures from Grouped Data:," Department of Economics - Working Papers Series 1148, The University of Melbourne.
  3. Ivana Malá, 2012. "The Use of Finite Mixtures of Lognormal Distribution for the Modelling of Income Distributions," Acta Oeconomica Pragensia, University of Economics, Prague, vol. 2012(4), pages 26-39.
  4. Dorothée Boccanfuso & Bernard Decaluwé & Luc Savard, 2008. "Poverty, income distribution and CGE micro-simulation modeling: Does the functional form of distribution matter?," Journal of Economic Inequality, Springer, vol. 6(2), pages 149-184, June.

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