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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

A major problem encountered in studies of income inequality at regional and global levels is the estimation of income distributions from data that are in a summary form. In this paper we estimate national and regional income distributions within a general framework that relaxes the assumption of constant income within groups. A technique to estimate the parameters of a beta-2 distribution 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 two benchmark years, 1988 and 1993.

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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. 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).
  2. Galí, Jordi & Monacelli, Tommaso, 2002. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," CEPR Discussion Papers 3346, C.E.P.R. Discussion Papers.
  3. Deininger, K & Squire, L, 1996. "Measuring Income Inequality : A New Data-Base," Papers 537, Harvard - Institute for International Development.
  4. 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.
  5. Xavier Sala-i-Martin, 2002. "The disturbing "rise" of global income inequality," Discussion Papers 0102-44, Columbia University, Department of Economics.
  6. 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.
  7. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
  8. Branko Milanovic, 2003. "The Ricardian Vice: Why Sala-i-Martin’s calculations of world income inequality are wrong," HEW 0305003, EconWPA.
  9. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
  10. 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.
  11. Quah, Danny, 2002. "One Third of the World's Growth and Inequality," CEPR Discussion Papers 3316, C.E.P.R. Discussion Papers.
  12. Wilfling, Bernd, 1996. "Lorenz ordering of generalized beta-II income distributions," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 381-388.
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Cited by:
  1. 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.
  2. Nicholas Rohde, 2008. "An alternative functional form for estimating the lorenz curve," Discussion Papers Series 384, School of Economics, University of Queensland, Australia.
  3. Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
  4. Thomas Mayrhofer & Hendrik Schmitz, 2014. "Testing the relationship between income inequality and life expectancy: a simple correction for the aggregation effect when using aggregated data," Journal of Population Economics, Springer, vol. 27(3), pages 841-856, July.
  5. Chotikapanich, Duangkamon & Griffiths, William E. & Rao, D.S. Prasada & Karunarathne, Wasana, 2014. "Income Distributions, Inequality, and Poverty in Asia, 1992–2010," ADBI Working Papers 468, Asian Development Bank Institute.
  6. 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.
  7. 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).
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. Duangkamon Chotikapanich & William Griffiths & Wasana Karunarathne & D.S. Prasada Rao, 2013. "Calculating Poverty Measures from the Generalised Beta Income Distribution," The Economic Record, The Economic Society of Australia, vol. 89, pages 48-66, 06.
  13. 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.
  14. Pinkovskiy, Maxim L., 2014. "World welfare is rising: estimation using nonparametric bounds on welfare measures," Staff Reports 662, Federal Reserve Bank of New York.
  15. 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.
  16. Gerencia de Riesgo Asobancaria - CIFIN, . "Estimación de la Carga Financiera en Colombia," Temas de Estabilidad Financiera 056, Banco de la Republica de Colombia.
  17. 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.
  18. 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.

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