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Ungrouping Income Distributions: Synthesising Samples for Inequality and Poverty Analysis

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  • Shorrocks, Anthony
  • Wan, Guanghua

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. The results indicate that the new technique is capable of reproducing individual data from grouped statistics with a high degree of accuracy.

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File URL: http://www.wider.unu.edu/stc/repec/pdfs/rp2008/rp2008-16.pdf
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Bibliographic Info

Paper provided by World Institute for Development Economic Research (UNU-WIDER) in its series Working Paper Series with number RP2008/16.

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Length: 24 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:unu:wpaper:rp2008-16

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Keywords: grouped data; income distribution; inequality; poverty;

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References

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  1. François Bourguignon & Christian Morrisson, 2002. "Inequality Among World Citizens: 1820-1992," American Economic Review, American Economic Association, vol. 92(4), pages 727-744, September.
  2. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
  3. Duangkamon Chotikapanich & William E. Griffiths & D.S. Prasada Rao, 2005. "Estimating and Combining National Income Distributions using Limited Data," Department of Economics - Working Papers Series 926, The University of Melbourne.
  4. Davies, James B. & Sandstrom, Susanna & Shorrocks, Anthony & Wolff, Edward N., 2007. "Estimating the Level and Distribution of Global Household Wealth," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  5. DAVIES, JAMES B & Shorrocks, Anthony & Sandstrom, Susanna & WOLFF, EDWARD N, 2007. "The World Distribution of Household Wealth," Center for Global, International and Regional Studies, Working Paper Series qt3jv048hx, Center for Global, International and Regional Studies, UC Santa Cruz.
  6. 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, 02.
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Citations

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Cited by:
  1. Alex Cobham, Andy Sumner, 2013. "Is It All About the Tails? The Palma Measure of Income Inequality-Working Paper 343," Working Papers 343, Center for Global Development.
  2. James B. Davies & Susanna Sandstrom & Anthony Shorrocks & Edward N. Wolff, 2009. "The Level and Distribution of Global Household Wealth," University of Western Ontario, Economic Policy Research Institute Working Papers 20091, University of Western Ontario, Economic Policy Research Institute.
  3. Davies, James B. & Sandstrom, Susanna & Shorrocks, Anthony & Wolff, Edward N., 2008. "The World Distribution of Household Wealth," Working Paper Series DP2008/03, World Institute for Development Economic Research (UNU-WIDER).
  4. Alex Cobham & Andrew Sumner, 2013. "Is it all about the tails? The Palma measure of income inequality," Working Papers 308, ECINEQ, Society for the Study of Economic Inequality.
  5. Camelia Minoiu & Sanjay Reddy, 2008. "Kernel Density Estimation Based on Grouped Data: The Case of Poverty Assessment," IMF Working Papers 08/183, International Monetary Fund.

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