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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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    References listed on IDEAS

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    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.
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    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. 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.
    7. 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.
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    1. James B. Davies & Susanna Sandström & Anthony Shorrocks & Edward N. Wolff, 2011. "The Level and Distribution of Global Household Wealth," Economic Journal, Royal Economic Society, vol. 121(551), pages 223-254, March.
    2. Bibi, Sami & Duclos, Jean-Yves & Verdier-Chouchane, Audrey, 2012. "Assessing absolute and relative pro-poor growth, with an application to selected African countries," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-43.
    3. Yuan Zhang & Guanghua Wan, 2009. "How Precisely Can We Estimate Vulnerability to Poverty?," Oxford Development Studies, Taylor & Francis Journals, vol. 37(3), pages 277-287.
    4. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2021. "Inequality measurement with grouped data: Parametric and non‐parametric methods," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 964-984, July.
    5. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2020. "Estimation of Income Inequality from Grouped Data," LIS Working papers 804, LIS Cross-National Data Center in Luxembourg.
    6. Stephen Jenkins, 2015. "World income inequality databases: an assessment of WIID and SWIID," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(4), pages 629-671, December.
    7. 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.
    8. Shatakshee Dhongde & Camelia Minoiu, 2010. "Global poverty estimates: Present and future," Global Development Institute Working Paper Series 13310, GDI, The University of Manchester.
    9. Yuan Zhang & Guanghua Wan, 2008. "Can We Predict Vulnerability to Poverty?," WIDER Working Paper Series RP2008-82, World Institute for Development Economic Research (UNU-WIDER).
    10. Facundo Alvaredo & Leonardo Gasparini, 2013. "Recent Trends in Inequality and Poverty in Developing Countries," CEDLAS, Working Papers 0151, CEDLAS, Universidad Nacional de La Plata.
    11. 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.
    12. Sami Bibi & Mustapha K. Nabli, 2009. "Income Inequality In The Arab Region: Data And Measurement, Patterns And Trends," Middle East Development Journal (MEDJ), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 275-314.
    13. Zhao, Da & Wu, Tianhao & He, Qiwei, 2017. "Consumption inequality and its evolution in urban China," China Economic Review, Elsevier, vol. 46(C), pages 208-228.
    14. Ms. Camelia Minoiu & Sanjay Reddy, 2008. "Kernel Density Estimation Based on Grouped Data: The Case of Poverty Assessment," IMF Working Papers 2008/183, International Monetary Fund.
    15. Stanislaw Maciej Kot, 2016. "Estimates Of The World Distribution Of Personal Incomes Based On Country Sample Clones," GUT FME Working Paper Series A 41, Faculty of Management and Economics, Gdansk University of Technology.
    16. 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.
    17. Christoph Lakner & Branko Milanovic, 2015. "La distribución global del ingreso. De la caída del muro de Berlín a la gran recesión," Revista de Economía Institucional, Universidad Externado de Colombia - Facultad de Economía, vol. 17(32), pages 71-128, January-J.
    18. Sara Torregrosa Hetland & Oriol Sabaté, 2018. "Income tax and war inflation: was the ‘blood tax’ compensated by taxing the rich?," Working Papers 18010, Economic History Society.
    19. Luigi Cannari & Giovanni D�Alessio, 2018. "Wealth inequality in Italy: reconstruction of 1968-75 data and comparison with recent estimates," Questioni di Economia e Finanza (Occasional Papers) 428, Bank of Italy, Economic Research and International Relations Area.

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