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Accounting for income distribution trends: A density function decomposition approach

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Author Info
Jenkins, Stephen P. (ISER, University of Essex, UK)
Van Kerm, Philippe (CEPS/INSTEAD, G.-D. Luxembourg)

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Abstract

This paper develops methods for decomposing changes in the income distribution using subgroup decompositions of the income density function. Overall changes are related to changes in subgroup shares and changes in subgroup densities, where the latter are broken down further using elementary transformations of individual incomes. These density decompositions are analogous to the widely-used decompositions of inequality indices by population subgroup, except that they summarize multiple features of the income distribution (using graphs), rather than focusing on a specific feature such as dispersion, and are not dependent on the choice of a specific summary index. Nonetheless, since inequality and poverty indices can be expressed as PDF functionals, our density-based methods can also be used to provide numerical decompositions of these. An application of the methods reveals the multi-faceted nature of UK income distribution trends during the 1980s.

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Publisher Info
Paper provided by IRISS at CEPS/INSTEAD in its series IRISS Working Paper Series with number 2004-07.

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Length: 24 pages
Date of creation: Apr 2004
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Publication status: Published in Journal of Economic Inequality,2005, vol. 3, no. 1, pp. 43-61
Handle: RePEc:irs:iriswp:2004-07

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Related research
Keywords: Income distribution; Inequality ; density functions ; subgroup decomposition;

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
D33 - Microeconomics - - Distribution - - - Factor Income Distribution

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Mookherjee, Dilip & Shorrocks, Anthony F, 1982. "A Decomposition Analysis of the Trend in UK Income Inequality," Economic Journal, Royal Economic Society, vol. 92(368), pages 886-902, December. [Downloadable!] (restricted)
  3. Philippe Van Kerm, 2003. "Adaptive kernel density estimation," Stata Journal, StataCorp LP, vol. 3(2), pages 148-156, June. [Downloadable!]
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  4. Mary C. Daly & Robert G. Valletta, 2000. "Inequality and poverty in the United States: the effects of changing family behavior and rising wage dispersion," Working Papers in Applied Economic Theory 2000-06, Federal Reserve Bank of San Francisco. [Downloadable!]
  5. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April. [Downloadable!] (restricted)
  6. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Olivier Bargain, 2009. "The Distributional Effects of Tax-benefit Policies under New Labour - A Shapley Decomposition," Working Papers 200907, School Of Economics, University College Dublin. [Downloadable!]
    Other versions:
  2. Dean Hyslop & Suresh Yahanpath, 2005. "Income Growth and Earnings Variations in New Zealand, 1998—2004," Treasury Working Paper Series 05/11, New Zealand Treasury. [Downloadable!]
  3. Jérôme Bourdieu & Marta Menéndez & Gilles Postel-Vinay & Akiko Suwa-Eisenmann, 2008. "Where have (almost) all the wealthy gone? Spatial decomposition of wealth trends in France, 1820-1939," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement, INRA Department of Economics, vol. 87(2), pages 5-25. [Downloadable!]
    Other versions:
  4. Riccardo Massari, 2009. "Is income becoming more polarized Italy? A closer look with a distributional approach," Working Papers 1, Doctoral School of Economics, Sapienza University of Rome. [Downloadable!]
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