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Calculating Poverty Measures from the Generalized Beta Income Distribution

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

Abstract

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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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

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  1. Chotikapanich, Duangkamon & Griffiths, William E. & Rao, D. S. Prasada, 2007. "Estimating and Combining National Income Distributions Using Limited Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 97-109, January.
  2. 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.
  3. McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-63, May.
  4. Ravallion, Martin & Chen, Shaohua & Sangraula, Prem, 2008. "Dollar a day revisited," Policy Research Working Paper Series 4620, The World Bank.
  5. Madden, D., 1999. "Relative or Absolute Poverty Lines: A New Approach," Papers 99/9, College Dublin, Department of Political Economy-.
  6. 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.
  7. 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.
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Cited by:
  1. Michał Brzeziński, 2013. "Parametric modelling of income distribution in Central and Eastern Europe," Working Papers 2013-31, Faculty of Economic Sciences, University of Warsaw.

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