IDEAS home Printed from https://ideas.repec.org/p/imf/imfwpa/2008-183.html
   My bibliography  Save this paper

Kernel Density Estimation Based on Grouped Data: The Case of Poverty Assessment

Author

Listed:
  • Ms. Camelia Minoiu
  • Sanjay Reddy

Abstract

We analyze the performance of kernel density methods applied to grouped data to estimate poverty (as applied in Sala-i-Martin, 2006, QJE). Using Monte Carlo simulations and household surveys, we find that the technique gives rise to biases in poverty estimates, the sign and magnitude of which vary with the bandwidth, the kernel, the number of datapoints, and across poverty lines. Depending on the chosen bandwidth, the $1/day poverty rate in 2000 varies by a factor of 1.8, while the $2/day headcount in 2000 varies by 287 million people. Our findings challenge the validity and robustness of poverty estimates derived through kernel density estimation on grouped data.

Suggested Citation

  • Ms. Camelia Minoiu & Sanjay Reddy, 2008. "Kernel Density Estimation Based on Grouped Data: The Case of Poverty Assessment," IMF Working Papers 2008/183, International Monetary Fund.
    • Handle: RePEc:imf:imfwpa:2008/183
    as

    Download full text from publisher

    File URL: http://www.imf.org/external/pubs/cat/longres.aspx?sk=22167
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January.
    2. Maria Grazia Pittau, 2005. "Fitting Regional Income Distributions in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 135-161, April.
    3. repec:pri:rpdevs:deaton_poverty_mdg.pdf is not listed on IDEAS
    4. Angus Deaton, 2005. "Measuring Poverty in a Growing World (or Measuring Growth in a Poor World)," The Review of Economics and Statistics, MIT Press, vol. 87(1), pages 1-19, February.
    5. Angus Deaton, 2003. "How to Monitor Poverty for the Millennium Development Goals," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 4(3), pages 353-378.
    6. Sanjay G. Reddy & Sujata Visaria & Muhammad Asali, 2006. "Inter-country Comparisons of Poverty Based on a Capability Approach: An Empirical Exercise," Working Papers 27, International Policy Centre for Inclusive Growth.
    7. Quah, Danny T, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," Economic Journal, Royal Economic Society, vol. 106(437), pages 1045-1055, July.
    8. Berry, Albert & Bourguignon, Francois & Morrisson, Christian, 1983. "Changes in the World Distribution of Income between 1950 and 1977," Economic Journal, Royal Economic Society, vol. 93(37), pages 331-350, June.
    9. Quah, Danny, 1997. "Empirics for growth and distribution," LSE Research Online Documents on Economics 2138, London School of Economics and Political Science, LSE Library.
    10. Shaohua Chien & Martin Ravallion, 2001. "How did the world's poorest fare in the 1990s?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(3), pages 283-300, September.
    11. Lant Pritchett, 2006. "Who is Not Poor? Dreaming of a World Truly Free of Poverty," The World Bank Research Observer, World Bank, vol. 21(1), pages 1-23.
    12. François Bourguignon & Christian Morrisson, 2002. "Inequality Among World Citizens: 1820-1992," American Economic Review, American Economic Association, vol. 92(4), pages 727-744, September.
    13. Surjit Bhalla, 2002. "Imagine There's No Country: Poverty, Inequality, and Growth in the Era of Globalization," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 348, October.
    14. Roberto Zelli & Maria Grazia Pittau, 2006. "Empirical evidence of income dynamics across EU regions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 605-628.
    15. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
    16. Xavier Sala-i-Martin, 2006. "The World Distribution of Income: Falling Poverty and … Convergence, Period," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 351-397.
    17. Shaohua Chen & Martin Ravallion, 2004. "How Have the World's Poorest Fared since the Early 1980s?," The World Bank Research Observer, World Bank, vol. 19(2), pages 141-169.
    18. Xavier Sala-i-Martin, 2001. "The disturbing 'rise' of global income inequality," Economics Working Papers 616, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 2002.
    19. Ravallion, Martin & Chen, Shaohua, 2007. "China's (uneven) progress against poverty," Journal of Development Economics, Elsevier, vol. 82(1), pages 1-42, January.
    20. Pan A. Yotopoulos, 1989. "Distributions Of Real Income: Within Countries And By World Income Classes," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 35(4), pages 357-376, December.
    21. Bianchi, Marco, 1997. "Testing for Convergence: Evidence from Non-parametric Multimodality Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 393-409, July-Aug..
    22. Angus Deaton, 2005. "ERRATUM: Measuring Poverty in a Growing World (or Measuring Growth in a Poor World)," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 395-395, May.
    23. Grosh, Margaret E & Nafziger, E Wayne, 1986. "The Computation of World Income Distribution," Economic Development and Cultural Change, University of Chicago Press, vol. 34(2), pages 347-359, January.
    24. Wu, Ximing & Perloff, Jeffrey M., 2007. "GMM estimation of a maximum entropy distribution with interval data," Journal of Econometrics, Elsevier, vol. 138(2), pages 532-546, June.
    25. Mr. Jahangir Aziz & Mr. Christoph Duenwald, 2001. "China's Provincial Growth Dynamics," IMF Working Papers 2001/003, International Monetary Fund.
    26. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
    27. Marron, J. S. & Nolan, D., 1988. "Canonical kernels for density estimation," Statistics & Probability Letters, Elsevier, vol. 7(3), pages 195-199, December.
    28. Xavier Sala-i-Martin, 2002. "The World Distribution of Income (estimated from Individual Country Distributions)," NBER Working Papers 8933, National Bureau of Economic Research, Inc.
    29. Nanak Kakwani & Hyun H. Son, 2006. "New Global Poverty Counts," Working Papers 29, International Policy Centre for Inclusive Growth.
    30. Ricardo Fuentes, 2005. "Poverty, Pro-Poor Growth and Simulated Inequality Reduction," Human Development Occasional Papers (1992-2007) HDOCPA-2005-11, Human Development Report Office (HDRO), United Nations Development Programme (UNDP).
    31. Anthony F. Shorrocks & Guanghua Wan, 2008. "Ungrouping Income Distributions: Synthesising Samples for Inequality and Poverty Analysis," WIDER Working Paper Series RP2008-16, World Institute for Development Economic Research (UNU-WIDER).
    32. Jahangir Aziz & Christoph Duenwald, 2001. "China's Provincial Growth Dynamics," Development and Comp Systems 0012004, University Library of Munich, Germany.
    33. Yotopoulos, Pan A, 1989. "Distributions of Real Income: Within Countries and by World Income Classes," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 35(4), pages 357-376, December.
    34. Sanjay G. Reddy & Camelia Minoiu, 2007. "Has World Poverty Really Fallen?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(3), pages 484-502, September.
    35. Quah, Danny, 1996. "Twin peaks : growth and convergence in models of distribution dynamics," LSE Research Online Documents on Economics 2278, London School of Economics and Political Science, LSE Library.
    36. Danny Quah, 1997. "Empirics for Growth and Distribution," CEP Discussion Papers dp0324, Centre for Economic Performance, LSE.
    37. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
    38. Quah, Danny T, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," Journal of Economic Growth, Springer, vol. 2(1), pages 27-59, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dhongde, Shatakshee & Minoiu, Camelia, 2013. "Global Poverty Estimates: A Sensitivity Analysis," World Development, Elsevier, vol. 44(C), pages 1-13.
    2. Christoph Lakner & Branko Milanovic, 2016. "Global Income Distribution: From the Fall of the Berlin Wall to the Great Recession," The World Bank Economic Review, World Bank, vol. 30(2), pages 203-232.
    3. Sami Bibi & AbdelRahmen El Lahga, 2010. "Generating Reliable Data to Perform Distributional Analysis in the Arab Region," Working Papers 561, Economic Research Forum, revised 10 Jan 2010.
    4. Walter, Paul & Weimer, Katja, 2018. "Estimating poverty and inequality indicators using interval censored income data from the German microcensus," Discussion Papers 2018/10, Free University Berlin, School of Business & Economics.
    5. Camelia Minoiu & Sanjay Reddy, 2014. "Kernel density estimation on grouped data: the case of poverty assessment," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(2), pages 163-189, June.
    6. Francesco Vercelli, 2019. "The evolution of inequality and social cohesion in Europe: 1957-2017," Questioni di Economia e Finanza (Occasional Papers) 526, Bank of Italy, Economic Research and International Relations Area.
    7. John Paolo Rosales Rivera, 2022. "A nonparametric approach to understanding poverty in the Philippines: Evidence from the Family Income and Expenditure Survey," Poverty & Public Policy, John Wiley & Sons, vol. 14(3), pages 242-267, September.

    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. Xavier Sala-i-Martin, 2006. "The World Distribution of Income: Falling Poverty and … Convergence, Period," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 351-397.
    2. Maxim Pinkovskiy & Xavier Sala-i-Martin, 2009. "Parametric Estimations of the World Distribution of Income," NBER Working Papers 15433, National Bureau of Economic Research, Inc.
    3. Bart Capéau & Andre Decoster, 2004. "The Rise or Fall of World Inequality: A Spurious Controversy?," WIDER Working Paper Series DP2004-02, World Institute for Development Economic Research (UNU-WIDER).
    4. Paul Johnson & Chris Papageorgiou, 2020. "What Remains of Cross-Country Convergence?," Journal of Economic Literature, American Economic Association, vol. 58(1), pages 129-175, March.
    5. Edward, Peter, 2006. "Examining Inequality: Who Really Benefits from Global Growth?," World Development, Elsevier, vol. 34(10), pages 1667-1695, October.
    6. Mahmoud A. El-Gamal & Deockhyun Ryu, 2013. "Nonstationarity and Stochastic Stability of Relative Income Clubs," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 756-775, December.
    7. Pinkovskiy, Maxim L., 2013. "World welfare is rising: Estimation using nonparametric bounds on welfare measures," Journal of Public Economics, Elsevier, vol. 97(C), pages 176-195.
    8. Facundo Alvaredo & Leonardo Gasparini, 2013. "Recent Trends in Inequality and Poverty in Developing Countries," CEDLAS, Working Papers 0151, CEDLAS, Universidad Nacional de La Plata.
    9. Ximing Wu & Andreas Savvides & Thanasis Stengos, 2008. "The Global Joint Distribution of Income and Health," Working Papers 0807, University of Guelph, Department of Economics and Finance.
    10. Xavier Sala-i-Martin, 2002. "The World Distribution of Income (estimated from Individual Country Distributions)," NBER Working Papers 8933, National Bureau of Economic Research, Inc.
    11. Maxim Pinkovskiy & Xavier Sala-i-Martin, 2015. "Lights, Camera,... Income! Estimating Poverty Using National Accounts, Survey Means and Lights," LIS Working papers 645, LIS Cross-National Data Center in Luxembourg.
    12. Maxim L. Pinkovskiy & Xavier X. Sala-i-Martin, 2014. "Lights, camera,...income! Estimating poverty using national accounts, survey means, and lights," Staff Reports 669, Federal Reserve Bank of New York.
    13. Aparna P Lolayekar & Pranab Mukhopadhyay, 2020. "“Understanding growth convergence in India (1981–2010): Looking beyond the usual suspects”," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-17, June.
    14. Roberta Colavecchio & Declan Curran & Michael Funke, 2009. "Drifting together or falling apart? The empirics of regional economic growth in post-unification Germany," Applied Economics, Taylor & Francis Journals, vol. 43(9), pages 1087-1098.
    15. Andrea Brandolini, 2006. "Measurement of Income Distribution in Supranational Entities: The Case of the European Union," LIS Working papers 452, LIS Cross-National Data Center in Luxembourg.
    16. Calzadilla, Alvaro, 2010. "Global income distribution and poverty: Implications from the IPCC SRES scenarios," Kiel Working Papers 1664, Kiel Institute for the World Economy (IfW Kiel).
    17. Claudia Biancotti, 2004. "A Polarization of Polarization? The Distribution of Inequality 1970-1996," Temi di discussione (Economic working papers) 487, Bank of Italy, Economic Research and International Relations Area.
    18. repec:rim:rimwps:25-08 is not listed on IDEAS
    19. Dominique Guegan & Bertrand Hassani & Kehan Li, 2017. "An alternative class of distortion operators," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01543251, HAL.
    20. Epstein, Philip & Howlett, Peter & Schulze, Max-Stephan, 2007. "Trade, convergence, and globalisation: The dynamics of the international income distribution, 1950-1998," Explorations in Economic History, Elsevier, vol. 44(1), pages 100-113, January.
    21. Azomahou, Théophile T. & El ouardighi, Jalal & Nguyen-Van, Phu & Pham, Thi Kim Cuong, 2011. "Testing convergence of European regions: A semiparametric approach," Economic Modelling, Elsevier, vol. 28(3), pages 1202-1210, May.

    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:imf:imfwpa:2008/183. 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: Akshay Modi (email available below). General contact details of provider: https://edirc.repec.org/data/imfffus.html .

    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.