IDEAS home Printed from https://ideas.repec.org/p/may/mayecw/n821098.html
   My bibliography  Save this paper

Statistical Inference for 2 Measures of Inequality when Incomes are Correlated

Author

Listed:
  • Van de gaer Dirk

    (Economics, National University of Ireland, Maynooth)

  • Nicola Funnell

    (Department of Economics, NUI, Maynooth)

  • Tom McCarthy

    (Department of Economics, NUI, Maynooth)

Abstract

This paper derives the asymptotic normality of the distribution of difference in the Atkinson/Kolm and generalised entropy inequality measures when incomes are correlated. We illustrate the procedure by calculating the difference in inequality before and after tax in Ireland. Our empirical results suggest that the positive correlation between incomes before and after taxes substantially reduces the variance of the estimated difference in equality.

Suggested Citation

  • Van de gaer Dirk & Nicola Funnell & Tom McCarthy, 1998. "Statistical Inference for 2 Measures of Inequality when Incomes are Correlated," Economics Department Working Paper Series n821098, Department of Economics, National University of Ireland - Maynooth.
    • Handle: RePEc:may:mayecw:n821098
    as

    Download full text from publisher

    File URL: http://repec.maynoothuniversity.ie/mayecw-files/N821098.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
    2. Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, vol. 64(1), pages 77-101, January.
    3. Mills, Jeffrey A & Zandvakili, Sourushe, 1997. "Statistical Inference via Bootstrapping for Measures of Inequality," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 133-150, March-Apr.
    4. Duclos, Jean-Yves, 1997. "The asymptotic distribution of linear indices of inequality, progressivity and redistribution," Economics Letters, Elsevier, vol. 54(1), pages 51-57, January.
    5. Thistle, Paul D, 1990. "Large Sample Properties of Two Inequality Indices," Econometrica, Econometric Society, vol. 58(3), pages 725-728, May.
    6. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
    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. Van de gaer, Dirk & Funnell, Nicola & McCarthy, Tom, 1999. "Statistical inference for two measures of inequality when incomes are correlated," Economics Letters, Elsevier, vol. 64(3), pages 295-300, 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. Van de gaer, Dirk & Funnell, Nicola & McCarthy, Tom, 1999. "Statistical inference for two measures of inequality when incomes are correlated," Economics Letters, Elsevier, vol. 64(3), pages 295-300, September.
    2. Timothy Patrick Moran, 2006. "Statistical Inference for Measures of Inequality With a Cross-National Bootstrap Application," Sociological Methods & Research, , vol. 34(3), pages 296-333, February.
    3. Raquel Andres & Samuel Calonge, 2005. "Inference on Income Inequality and Tax Progressivity Indices: U-Statistics and Bootstrap Methods," Working Papers 09, ECINEQ, Society for the Study of Economic Inequality.
    4. Schluter, Christian & van Garderen, Kees Jan, 2009. "Edgeworth expansions and normalizing transforms for inequality measures," Journal of Econometrics, Elsevier, vol. 150(1), pages 16-29, May.
    5. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
    6. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.
    7. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    8. Zheng, Buhong & J. Cushing, Brian, 2001. "Statistical inference for testing inequality indices with dependent samples," Journal of Econometrics, Elsevier, vol. 101(2), pages 315-335, April.
    9. Philippe Kerm, 2002. "Inference on inequality measures: A Monte Carlo experiment," Journal of Economics, Springer, vol. 9(1), pages 283-306, December.
    10. Davidson, Russell & Flachaire, Emmanuel, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Journal of Econometrics, Elsevier, vol. 141(1), pages 141-166, November.
    11. Silvia De Nicol`o & Maria Rosaria Ferrante & Silvia Pacei, 2021. "Mind the Income Gap: Bias Correction of Inequality Estimators in Small-Sized Samples," Papers 2107.08950, arXiv.org, revised May 2023.
    12. Anton I. Votinov & Samvel S. Lazaryan & Vyacheslav N. Ovchinnikov, 2019. "Regression-Based Decomposition of Income Inequality Factors in Russia," Finansovyj žhurnal — Financial Journal, Financial Research Institute, Moscow 125375, Russia, issue 5, pages 74-89, October.
    13. Cowell, Frank A. & Flachaire, Emmanuel, 2007. "Income distribution and inequality measurement: The problem of extreme values," Journal of Econometrics, Elsevier, vol. 141(2), pages 1044-1072, December.
    14. Kleiber, Christian, 1997. "The existence of population inequality measures," Economics Letters, Elsevier, vol. 57(1), pages 39-44, November.
    15. Frank Cowell & Maria-Pia Victoria-Feser, 2003. "Distribution-Free Inference for Welfare Indices under Complete and Incomplete Information," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(3), pages 191-219, December.
    16. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 5-32, March.
    17. Tito Boeri & Andrea Brandolini, 2004. "The Age of Discontent: Italian Households at the Beginning of the Decade," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 63(3-4), pages 449-487, December.
    18. André DECOSTER & Guy VAN CAMP, 2000. "Redistributive Effects of the Shift from Personal Income Taxes to Indirect Taxes: Belgium 1988-1993," Working Papers of Department of Economics, Leuven ces0007, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    19. Andrea Brandolini, 1999. "The Distribution of Personal Income in Post-War Italy: Source Description, Data Quality, and the Time Pattern of Income Inequality," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 58(2), pages 183-239, September.
    20. Duclos, Jean-Yves & Tabi, Martin, 1999. "Inégalité et redistribution du revenu, avec une application au Canada," L'Actualité Economique, Société Canadienne de Science Economique, vol. 75(1), pages 95-122, mars-juin.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:may:mayecw:n821098. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/demayie.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.