IDEAS home Printed from https://ideas.repec.org/a/spr/snbeco/v1y2021i10d10.1007_s43546-021-00151-9.html
   My bibliography  Save this article

Some confidence intervals and insights for the proportion below the relative poverty line

Author

Listed:
  • Dilanka S. Dedduwakumara

    (La Trobe University
    The University of Adelaide)

  • Luke A. Prendergast

    (La Trobe University)

  • Robert G. Staudte

    (La Trobe University)

Abstract

We examine a commonly used relative poverty measure called the headcount ratio ( $$H_{p}$$ H p ), defined to be the proportion of incomes falling below the relative poverty line, which is defined to be a fraction p of the median income. We do this by considering this concept for theoretical income populations, and its potential for determining actual changes following transfer of incomes from the wealthy to those whose incomes fall below the relative poverty line. In the process we derive and evaluate the performance of large sample confidence intervals for $$H_{p}$$ H p . Finally, we illustrate the estimators on real income data sets.

Suggested Citation

  • Dilanka S. Dedduwakumara & Luke A. Prendergast & Robert G. Staudte, 2021. "Some confidence intervals and insights for the proportion below the relative poverty line," SN Business & Economics, Springer, vol. 1(10), pages 1-22, October.
  • Handle: RePEc:spr:snbeco:v:1:y:2021:i:10:d:10.1007_s43546-021-00151-9
    DOI: 10.1007/s43546-021-00151-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43546-021-00151-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s43546-021-00151-9?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. M. Jones, 1992. "Estimating densities, quantiles, quantile densities and density quantiles," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(4), pages 721-727, December.
    2. Christian Kleiber, 2008. "A Guide to the Dagum Distributions," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 6, pages 97-117, Springer.
    3. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    4. Satya Paul & Sriram Shankar, 2020. "An alternative single parameter functional form for Lorenz curve," Empirical Economics, Springer, vol. 59(3), pages 1393-1402, September.
    5. Arie Kapteyn & Sara van de Geer & Huib van de Stadt, 1985. "The Impact of Changes in Income and Family Composition on Subjective Measures of Well-Being," NBER Chapters, in: Horizontal Equity, Uncertainty, and Economic Well-Being, pages 35-68, National Bureau of Economic Research, Inc.
    6. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    7. Richard V. Burkhauser & Timothy M. Smeeding & Joachim Merz, 1996. "Relative Inequality And Poverty In Germany And The United States Using Alternative Equivalence Scales," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 42(4), pages 381-400, December.
    8. 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.
    9. 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.
    10. Merritt Lyon & Li C. Cheung & Joseph L. Gastwirth, 2016. "The Advantages of Using Group Means in Estimating the Lorenz Curve and Gini Index From Grouped Data," The American Statistician, Taylor & Francis Journals, vol. 70(1), pages 25-32, February.
    11. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    12. Martin David & Timothy Smeeding, 1985. "Horizontal Equity, Uncertainty, and Economic Well-Being," NBER Books, National Bureau of Economic Research, Inc, number davi85-1, March.
    13. Welsh, A. H., 1988. "Asymptotically efficient estimation of the sparsity function at a point," Statistics & Probability Letters, Elsevier, vol. 6(6), pages 427-432, May.
    14. Zheng, Buhong, 2001. "Statistical inference for poverty measures with relative poverty lines," Journal of Econometrics, Elsevier, vol. 101(2), pages 337-356, April.
    15. Chenhong Peng & Lue Fang & Julia Shu-Huah Wang & Yik Wa Law & Yi Zhang & Paul S. F. Yip, 2019. "Determinants of Poverty and Their Variation Across the Poverty Spectrum: Evidence from Hong Kong, a High-Income Society with a High Poverty Level," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(1), pages 219-250, July.
    16. N. C. Kakwani & N. Podder, 2008. "Efficient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 4, pages 57-70, Springer.
    17. Kleiber, Christian, 1996. "Dagum vs. Singh-Maddala income distributions," Economics Letters, Elsevier, vol. 53(3), pages 265-268, December.
    18. James Foster & Suman Seth & Michael Lokshin & Zurab Sajaia, 2013. "A Unified Approach to Measuring Poverty and Inequality--Theory and Practice : Streamlined Analysis with ADePT Software," World Bank Publications - Books, The World Bank Group, number 13731, December.
    19. Luke A. Prendergast & Robert G. Staudte, 2018. "A Simple and Effective Inequality Measure," The American Statistician, Taylor & Francis Journals, vol. 72(4), pages 328-343, October.
    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. Coral Río & Olga Alonso-Villar, 2018. "Segregation and Social Welfare: A Methodological Proposal with an Application to the U.S," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 137(1), pages 257-280, May.
    2. Ye, Yuxiang & Koch, Steven F., 2021. "Measuring energy poverty in South Africa based on household required energy consumption," Energy Economics, Elsevier, vol. 103(C).
    3. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    4. Jos'e Miguel Flores-Contr'o, 2024. "The Gerber-Shiu Expected Discounted Penalty Function: An Application to Poverty Trapping," Papers 2402.11715, arXiv.org.
    5. Espinoza-Delgado, José & Klasen, Stephan, 2018. "Gender and multidimensional poverty in Nicaragua: An individual based approach," World Development, Elsevier, vol. 110(C), pages 466-491.
    6. Romanus Osabohien & Alexander Nimo Wiredu & Paul Matin Dontsop Nguezet & Djana Babatima Mignouna & Tahirou Abdoulaye & Victor Manyong & Zoumana Bamba & Bola Amoke Awotide, 2021. "Youth Participation in Agriculture and Poverty Reduction in Nigeria," Sustainability, MDPI, vol. 13(14), pages 1-19, July.
    7. Zsolt Darvas, 2019. "Why is it So Hard to Reach the EU’s Poverty Target?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(3), pages 1081-1105, February.
    8. Anders Herlitz & David Horan, 2017. "A Model and Indicator of Aggregate Need Satisfaction for Capped Objectives and Weighting Schemes for Situations of Scarcity," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(2), pages 413-430, September.
    9. Alkire, Sabina & Oldiges, Christian & Kanagaratnam, Usha, 2021. "Examining multidimensional poverty reduction in India 2005/6–2015/16: Insights and oversights of the headcount ratio," World Development, Elsevier, vol. 142(C).
    10. Malokele Nanivazo, 2015. "First Order Dominance Analysis: Child Wellbeing in the Democratic Republic of Congo," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 122(1), pages 235-255, May.
    11. Lønborg, Jonas Helth & Rasmussen, Ole Dahl, 2014. "Can Microfinance Reach the Poorest: Evidence from a Community-Managed Microfinance Intervention," World Development, Elsevier, vol. 64(C), pages 460-472.
    12. J. F. Muñoz & E. à lvarez-Verdejo & R. M. García-Fernández, 2018. "On Estimating the Poverty Gap and the Poverty Severity Indices With Auxiliary Information," Sociological Methods & Research, , vol. 47(3), pages 598-625, August.
    13. Dipesh Gangopadhyay & Robert B. Nielsen & Velma Zahirovic-Herbert, 2021. "Methodology and Axiomatic Characterization of a Multidimensional and Fuzzy Measure of Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(1), pages 1-37, January.
    14. Madhav Prasad Dahal, 2017. "Do Female Education and Ownership of Asset Matter for Poverty Reduction in Nepal?," Journal of Development Innovations, KarmaQuest International, vol. 1(2), pages 58-85, October.
    15. Anders Bredahl Kock & David Preinerstorfer & Bezirgen Veliyev, 2022. "Functional Sequential Treatment Allocation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(539), pages 1311-1323, September.
    16. Guo, Junping & Qu, Song & Zhu, Tiehui, 2022. "Estimating China’s relative and multidimensional Poverty: Evidence from micro-level data of 6145 rural households," World Development Perspectives, Elsevier, vol. 26(C).
    17. Guo, Junping & Qu, Song, 2021. "Multidimensional and Relative Poverty in Rural China: Evidence from Micro-Level Data of 6145 Households," 2021 Conference, August 17-31, 2021, Virtual 315040, International Association of Agricultural Economists.
    18. 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.
    19. Coral del Rio & Olga Alonso-Villar, 2015. "Segregation and social welfare," Working Papers 378, ECINEQ, Society for the Study of Economic Inequality.
    20. Robert Tanton & Ben Phillips, 2013. "A Measure of the Depth of Housing Stress and its Application in Australia," Economic Papers, The Economic Society of Australia, vol. 32(1), pages 99-109, March.

    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:spr:snbeco:v:1:y:2021:i:10:d:10.1007_s43546-021-00151-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.