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Ungrouping Income Distributions: Synthesising Samples for Inequality and Poverty Analysis

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  • Anthony F. Shorrocks
  • Guanghua Wan

Abstract

We describe a new method of facilitating inequality and poverty analysis of grouped distributional data by allowing individual income observations to be reconstructed from any feasible grouping pattern. In contrast to earlier methods, our procedure ensures that the characteristics of the synthetic sample exactly match the reported values. The performance of the algorithm is evaluated first by using household survey records to compare true income observations with their synthetic counterparts, then by comparing the true and generated values of the Gini coefficient and other inequality indices.

Suggested Citation

  • Anthony F. Shorrocks & Guanghua Wan, 2008. "Ungrouping Income Distributions: Synthesising Samples for Inequality and Poverty Analysis," WIDER Working Paper Series RP2008-16, World Institute for Development Economic Research (UNU-WIDER).
    • Handle: RePEc:unu:wpaper:rp2008-16
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    File URL: https://www.wider.unu.edu/sites/default/files/rp2008-16.pdf
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    References listed on IDEAS

    as
    1. Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January.
    2. James B. Davies & Susanna Sandström & Anthony Shorrocks & Edward N. Wolff, 2007. "Estimating the Level and Distribution of Global Household Wealth," University of Western Ontario, Economic Policy Research Institute Working Papers 20075, University of Western Ontario, Economic Policy Research Institute.
    3. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    4. Chotikapanich, Duangkamon & Griffiths, William E. & Rao, D. S. Prasada, 2007. "Estimating and Combining National Income Distributions Using Limited Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 97-109, January.
    5. Stanislav Kolenikov & Anthony Shorrocks, 2005. "A Decomposition Analysis of Regional Poverty in Russia," Review of Development Economics, Wiley Blackwell, vol. 9(1), pages 25-46, February.
    6. Davies, James B. & Sandstrom, Susanna & Shorrocks, Anthony & Wolff, Edward N., 2006. "The World Distribution of Household Wealth," Conference papers 331490, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    7. Xavier Sala-i-Martin, 2002. "The World Distribution of Income (estimated from Individual Country Distributions)," NBER Working Papers 8933, National Bureau of Economic Research, Inc.
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