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Estimating and Combining National Income Distributions Using Limited Data

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  • Chotikapanich, Duangkamon
  • Griffiths, William E.
  • Rao, D. S. Prasada

Abstract

Recently, there has been a resurgence of studies on the distribution of income and inequality at regional and global levels, largely driven by the concerns of economists, international development organisations and the general public about the overall effects of globalisation on growth and inequality. A major data problem encountered in these studies is the nature of income distribution data that are available mainly in a summary form that includes mean (average) income and income shares of quintile or decile groups of the population. Past studies have either ignored distributional characteristics within each population sub-group, implying that all individuals in a quintile or decile group have the same income, or used simple distributions like the lognormal or Pareto to model income distribution within each country. The aim of the paper is to estimate national and regional income distributions within a more general framework that relaxes the assumption of constant-income-within-groups and is based on a general and versatile class of income distributions. A technique to estimate parameters of a class of generalised Beta distributions using grouped data is proposed. Regional income distribution is modelled using a mixture of country-specific distributions and its properties are examined. The techniques are used to analyse national and regional inequality trends for eight East Asian countries and three benchmark years 1988, 1993 and 2000.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 25 (2007)
Issue (Month): (January)
Pages: 97-109

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Handle: RePEc:bes:jnlbes:v:25:y:2007:p:97-109

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References

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  1. Branko Milanovic, 2003. "The Ricardian Vice: Why Sala-i-Martin’s calculations of world income inequality are wrong," HEW 0305003, EconWPA.
  2. Quah, Danny, 2002. "One Third of the World's Growth and Inequality," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  3. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
  4. McDonald, James B & Ransom, Michael R, 1979. "Functional Forms, Estimation Techniques and the Distribution of Income," Econometrica, Econometric Society, vol. 47(6), pages 1513-25, November.
  5. Quah, Danny, 2002. "One Third of the World's Growth and Inequality," CEPR Discussion Papers 3316, C.E.P.R. Discussion Papers.
  6. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
  7. Wilfling, Bernd, 1996. "Lorenz ordering of generalized beta-II income distributions," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 381-388.
  8. Steve Dowrick & Muhammad Akmal, 2005. "Contradictory Trends In Global Income Inequality: A Tale Of Two Biases ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(2), pages 201-229, 06.
  9. Chotikapanich, Duangkamon & Valenzuela, Rebecca & Rao, D S Prasada, 1997. "Global and Regional Inequality in the Distribution of Income: Estimation with Limited and Incomplete Data," Empirical Economics, Springer, vol. 22(4), pages 533-46.
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Citations

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Cited by:
  1. Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
  2. Gholamreza Hajargsht, William E. Griffiths, Joseph Brice, D.S. Prasada Rao, Duangkamon Chotikapanich, 2012. "Inference for Income Distributions Using Grouped Data," Department of Economics - Working Papers Series 1140, The University of Melbourne.
  3. Gholamreza Hajargsht & William E. Griffiths & Joseph Brice & D.S. Prasada Rao & Duangkamon Chotikapanich, 2011. "GMM Estimation of Income Distributions from Grouped Data," Department of Economics - Working Papers Series 1129, The University of Melbourne.
  4. Lee, Jongchul, 2013. "A provincial perspective on income inequality in urban China and the role of property and business income," China Economic Review, Elsevier, vol. 26(C), pages 140-150.
  5. David Warner & Prasada Rao & William E. Griffiths & Duangkamon Chotikapanich, 2011. "Global Inequality: Levels and Trends, 1993-2005," Discussion Papers Series 436, School of Economics, University of Queensland, Australia.
  6. Chakravarty, Shoibal & Tavoni, Massimo, 2013. "Energy poverty alleviation and climate change mitigation: Is there a trade off?," Energy Economics, Elsevier, vol. 40(S1), pages S67-S73.
  7. Duangkamon Chotikapanich & William E Griffiths, 2008. "Estimating Income Distributions Using a Mixture of Gamma Densities," Department of Economics - Working Papers Series 1034, The University of Melbourne.
  8. Shoibal Chakravarty & Massimo Tavoni, 2013. "Energy Poverty Alleviation and Climate Change Mitigation: is There a Trade off?," Working Papers 2013.25, Fondazione Eni Enrico Mattei.
  9. 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.
  10. Duangkamon Chotikapanich, William Griffiths, Wasana Karunarathne, D.S. Prasada Rao, 2012. "Calculating Poverty Measures from the Generalized Beta Income Distribution," Department of Economics - Working Papers Series 1154, The University of Melbourne.
  11. Shorrocks, Anthony & Wan, Guanghua, 2008. "Ungrouping Income Distributions: Synthesising Samples for Inequality and Poverty Analysis," Working Paper Series RP2008/16, World Institute for Development Economic Research (UNU-WIDER).
  12. Duangkamon Chotikapanich & D. S. Prasada Rao & Kam Ki Tang, 2007. "Estimating Income Inequality In China Using Grouped Data And The Generalized Beta Distribution," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(1), pages 127-147, 03.
  13. Pinkovskiy, Maxim L., 2014. "World welfare is rising: estimation using nonparametric bounds on welfare measures," Staff Reports 662, Federal Reserve Bank of New York.
  14. Gerencia de Riesgo Asobancaria - CIFIN, . "Estimación de la Carga Financiera en Colombia," Temas de Estabilidad Financiera 056, Banco de la Republica de Colombia.
  15. Duangkamon Chotikapanich & William E Griffiths & D.S. Prasada Rao & Vicar Valencia, 2009. "Global Income Distribution and Inequality: 1993 and 2000," Department of Economics - Working Papers Series 1062, The University of Melbourne.

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