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Calculating Poverty Measures from the Generalized Beta Income Distribution

  • DUANGKAMON CHOTIKAPANICH, WILLIAM GRIFFITHS, WASANA KARUNARATHNE, D.S. PRASADA RAO

Data for measuring poverty and income inequality are frequently available in a summary form that describes the proportion of income or expenditure for each of a number of population proportions. While various discrete measures can be applied directly to data in this limited form, these discrete measures typically ignore inequality within each group. This problem can be overcome by fitting a parametric income distribution to the grouped data and computing required quantities from the estimated parameters of this distribution. In this paper we show how to calculate several poverty measures from parameters of the generalized beta distribution of the second kind, and its popular special cases. An analysis of poverty changes in ten countries from South and Southeast Asia is used to illustrate the methodology.

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File URL: http://fbe.unimelb.edu.au/__data/assets/pdf_file/0003/784353/1154.pdf
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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1154.

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Length: 32 pages
Date of creation: 2012
Date of revision:
Handle: RePEc:mlb:wpaper:1154
Contact details of provider: Postal: Department of Economics, The University of Melbourne, 4th Floor, FBE Building, Level 4, 111 Barry Street. Victoria, 3010, Australia
Phone: +61 3 8344 5355
Fax: +61 3 8344 6899
Web page: http://www.economics.unimelb.edu.au
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  1. David Madden, 1999. "Relative or Absolute Poverty Lines - A New Approach," Working Papers 199909, School of Economics, University College Dublin.
  2. 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.
  3. Duangkamon Chotikapanich & William E. Griffiths & D. S. Prasada Rao & Vicar Valencia, 2012. "Global Income Distributions and Inequality, 1993 and 2000: Incorporating Country-Level Inequality Modeled with Beta Distributions," The Review of Economics and Statistics, MIT Press, vol. 94(1), pages 52-73, February.
  4. Martin Ravallion & Shaohua Chen & Prem Sangraula, 2009. "Dollar a Day Revisited," World Bank Economic Review, World Bank Group, vol. 23(2), pages 163-184, June.
  5. Gholamreza Hajargasht & William E. Griffiths & Joseph Brice & D.S. Prasada Rao & Duangkamon Chotikapanich, 2012. "Inference for Income Distributions Using Grouped Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(4), pages 563-575, May.
  6. Lars Osberg & Kuan Xu, 2007. "How Should We Measure Poverty in a Changing World? Methodological Issues and Chinese Case Study," Department of Economics at Dalhousie University working papers archive rderevision9, Dalhousie, Department of Economics.
  7. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
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