IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-04135764.html
   My bibliography  Save this paper

The Bayesian approach to poverty measurement

Author

Listed:
  • Michel Lubrano

    (School of Economics, Jiangxi University of Finance and Economics, AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Zhou Xun

    (School of Economics and Management [Nanjing] - NJUST - Nanjing University of Science and Technology)

Abstract

This chapter reviews the recent Bayesian literature on poverty measurement together with some new results. Using Bayesian model criticism, we revise the international poverty line. Using mixtures of lognormals to model income, we derive the posterior distribution for the FGT, Watts and Sen poverty indices, for TIP curves (with an illustration on child poverty in Germany) and for Growth Incidence Curves. The relation of restricted stochastic dominance with TIP and GIC dominance is detailed with an example based on UK data. Using panel data, we decompose poverty into total, chronic and transient poverty, comparing child and adult poverty in East Germany when redistribution is introduced. When panel data are not available, a Gibbs sampler can be used to build a pseudo panel. We illustrate poverty dynamics by examining the consequences of the Wall on poverty entry and poverty persistence in occupied West Bank.

Suggested Citation

  • Michel Lubrano & Zhou Xun, 2023. "The Bayesian approach to poverty measurement," Post-Print halshs-04135764, HAL.
  • Handle: RePEc:hal:journl:halshs-04135764
    DOI: 10.4337/9781800883451.00059
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-04135764
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-04135764/document
    Download Restriction: no

    File URL: https://libkey.io/10.4337/9781800883451.00059?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Verbeek, Marno & Vella, Francis, 2005. "Estimating dynamic models from repeated cross-sections," Journal of Econometrics, Elsevier, vol. 127(1), pages 83-102, July.
    2. Miles Corak & Michael Fertig & Marcus Tamm, 2008. "A Portrait Of Child Poverty In Germany," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(4), pages 547-571, December.
    3. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
    4. Kazuhiko Kakamu & Haruhisa Nishino, 2019. "Bayesian Estimation of Beta-type Distribution Parameters Based on Grouped Data," Computational Economics, Springer;Society for Computational Economics, vol. 54(2), pages 625-645, August.
    5. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    6. Kakwani, N C & Podder, N, 1973. "On the Estimation of Lorenz Curves from Grouped Observations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 278-292, June.
    7. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    8. Duangkamon Chotikapanich & William Griffiths, 2005. "Averaging Lorenz curves," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 3(1), pages 1-19, April.
    9. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    10. Edwin Fourrier-Nicolaï & Michel Lubrano, 2020. "Bayesian inference for TIP curves: an application to child poverty in Germany," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 91-111, March.
    11. William E. Griffiths & Duangkamon Chotikapanich & D. S. Prasada Rao, 2005. "Averaging Income Distributions," Bulletin of Economic Research, Wiley Blackwell, vol. 57(4), pages 347-367, October.
    12. Lorenzo Cappellari & Stephen P. Jenkins, 2004. "Modelling low income transitions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(5), pages 593-610.
    13. Villasenor, JoseA. & Arnold, Barry C., 1989. "Elliptical Lorenz curves," Journal of Econometrics, Elsevier, vol. 40(2), pages 327-338, February.
    14. Christophe Muller, 2001. "The Properties of the Watts Poverty Index under Lognormality," Economics Bulletin, AccessEcon, vol. 9(1), pages 1-9.
    15. Tareq Sadeq & Michel Lubrano, 2018. "The Wall’s Impact in the Occupied West Bank: A Bayesian Approach to Poverty Dynamics Using Repeated Cross-Sections," Econometrics, MDPI, vol. 6(2), pages 1-24, May.
    16. Hikaru Hasegawa & Kazuhiro Ueda, 2007. "Measuring chronic and transient components of poverty: a Bayesian approach," Empirical Economics, Springer, vol. 33(3), pages 469-490, November.
    17. Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
    18. Zhou Xun & Michel Lubrano, 2018. "A Bayesian Measure of Poverty in the Developing World," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 649-678, September.
    19. Davidson, Russell, 2009. "Reliable inference for the Gini index," Journal of Econometrics, Elsevier, vol. 150(1), pages 30-40, May.
    20. Zheng, Buhong, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    21. Martin Biewen & Stephen P. Jenkins, 2006. "Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(3), pages 371-383, June.
    22. Buhong Zheng, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    23. Stephen Jenkins & Peter Lambert, "undated". ""Three 'I's of Poverty" Curves: TIPs for Poverty Analysis," Discussion Papers 97/1, Department of Economics, University of York.
    24. Kazuhiko Kakamu, 2016. "Simulation Studies Comparing Dagum and Singh–Maddala Income Distributions," Computational Economics, Springer;Society for Computational Economics, vol. 48(4), pages 593-605, December.
    25. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
    26. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-327, July.
    27. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Michel Lubrano & Zhou Xun, 2021. "The Bayesian approach to poverty measurement," Working Papers halshs-03234072, HAL.
    2. Michel Lubrano & Zhou Xun, 2023. "The Bayesian approach to poverty measurement," Post-Print hal-04347292, HAL.
    3. Jean–Yves Duclos & Phillipe Grégoire, 2002. "Absolute and Relative Deprivation and the Measurement of Poverty," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(4), pages 471-492, December.
    4. Bibi, Sami & Duclos, Jean-Yves, 2007. "Equity and policy effectiveness with imperfect targeting," Journal of Development Economics, Elsevier, vol. 83(1), pages 109-140, May.
    5. Edwin Fourrier-Nicolaï & Michel Lubrano, 2020. "Bayesian inference for TIP curves: an application to child poverty in Germany," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 91-111, March.
    6. James E. Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later," Working Papers 2010-14, The George Washington University, Institute for International Economic Policy.
    7. Sami Bibi, 2006. "Growth with Equity is Better for the Poor," Cahiers de recherche 0640, CIRPEE.
    8. Birgit Kuchler & Jan Goebel, 2003. "Smoothed Income Poverty in European Countries," Discussion Papers of DIW Berlin 352, DIW Berlin, German Institute for Economic Research.
    9. James Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 491-524, December.
    10. Higgins, Sean & Lustig, Nora, 2016. "Can a poverty-reducing and progressive tax and transfer system hurt the poor?," Journal of Development Economics, Elsevier, vol. 122(C), pages 63-75.
    11. Edwin Fourrier-Nicolaï & Michel Lubrano, 2021. "Bayesian Inference for Parametric Growth Incidence Curves," Research on Economic Inequality, in: Research on Economic Inequality: Poverty, Inequality and Shocks, volume 29, pages 31-55, Emerald Group Publishing Limited.
    12. LABAR, Kelly & BRESSON, Florent, 2011. "A multidimensional analysis of poverty in China from 1991 to 2006," China Economic Review, Elsevier, vol. 22(4), pages 646-668.
    13. Jean‐Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, February.
    14. Bram Thuysbaert, 2008. "Inference for the measurement of poverty in the presence of a stochastic weighting variable," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 33-55, March.
    15. Genya Kobayashi & Kazuhiko Kakamu, 2019. "Approximate Bayesian computation for Lorenz curves from grouped data," Computational Statistics, Springer, vol. 34(1), pages 253-279, March.
    16. Sean Higgins & Nora Lustig, 2015. "Can Poverty-Reducing and Progressive Tax and Transfer System Hurt the Poor?," Commitment to Equity (CEQ) Working Paper Series 1333, Tulane University, Department of Economics.
    17. Berthold, Norbert & Brunner, Alexander, 2011. "Armut - was ist das?," Discussion Paper Series 112, Julius Maximilian University of Würzburg, Chair of Economic Order and Social Policy.
    18. Jean-Yves Duclos & Paul Makdissi, 2000. "Restricted and Unrestricted Dominance Welfare, Inequality and Povery Orderings," Cahiers de recherche 00-01, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    19. Osberg, Lars, 2002. "Trends in poverty: the UK in international perspective: how rates mislead and intensity matters," ISER Working Paper Series 2002-10, Institute for Social and Economic Research.
    20. Duclos, Jean-Yves & Araar, Abdelkrim & Giles, John, 2010. "Chronic and transient poverty: Measurement and estimation, with evidence from China," Journal of Development Economics, Elsevier, vol. 91(2), pages 266-277, March.

    More about this item

    Keywords

    bayesian inference; mixture model; poverty indices; stochastic dominance; poverty dynamics;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-04135764. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.