IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/2229.html
   My bibliography  Save this paper

Estimation of inequality indices

Author

Listed:
  • Cowell, Frank

Abstract

Inequality measures are powerful tools of applied welfare analysis. However, to use the tools effectively one has to take into account the characteristics of the data with which one usually has to work. These raise a number of common statistical problems which are addressed here for both micro-data and group data. The theoretical properties of inequality measures can often be used to simplify these problems and derive implementable algorithms.

Suggested Citation

  • Cowell, Frank, 1996. "Estimation of inequality indices," LSE Research Online Documents on Economics 2229, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:2229
    as

    Download full text from publisher

    File URL: http://eprints.lse.ac.uk/2229/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gastwirth, Joseph L., 1975. "The estimation of a family of measures of economic inequality," Journal of Econometrics, Elsevier, vol. 3(1), pages 61-70, February.
    2. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    3. Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, vol. 64(1), pages 77-101, January.
    4. Cowell, Frank A., 1991. "Grouping bounds for inequality measures under alternative informational assumptions," Journal of Econometrics, Elsevier, vol. 48(1-2), pages 1-14.
    5. Foster, James E., 1983. "An axiomatic characterization of the Theil measure of income inequality," Journal of Economic Theory, Elsevier, vol. 31(1), pages 105-121, October.
    6. Gastwirth, Joseph L, 1974. "Large Sample Theory of Some Measures of Income Inequality," Econometrica, Econometric Society, vol. 42(1), pages 191-196, January.
    7. Danziger, Sheldon & Taussig, Michael K, 1979. "The Income Unit and the Anatomy of Income Distribution," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 25(4), pages 365-375, December.
    8. Davies, J. B. & Shorrocks, A. F., 1989. "Optimal grouping of income and wealth data," Journal of Econometrics, Elsevier, vol. 42(1), pages 97-108, 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. Duangkamon Chotikapanich & William E. Griffiths, 2008. "Estimating Income Distributions Using a Mixture of Gamma Densities," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 16, pages 285-302, Springer.
    2. Ndeye Fatou FAYE & Moussa SALL & François AFFHOLDER & Françoise GERARD, 2019. "Inégalités de revenu en milieu rural dans le bassin arachidier du Sénégal," Working Paper 34d2e437-5e15-4a11-b09d-0, Agence française de développement.
    3. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.
    4. Duangkamon Chotikapanich & William E. Griffiths, 2006. "Bayesian Assessment of Lorenz and Stochastic Dominance in Income Distributions," Department of Economics - Working Papers Series 960, The University of Melbourne.
    5. 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.

    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. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    2. Salvatore Morelli & Timothy Smeeding & Jeffrey Thompson, 2014. "Post-1970 Trends in Within-Country Inequality and Poverty: Rich and Middle Income Countries," CSEF Working Papers 356, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    3. Frank A Cowell & Maria-Pia Victoria-Feser, 2001. "Distributional Dominance with Dirty Data," STICERD - Distributional Analysis Research Programme Papers 51, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    4. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    5. Casilda Lasso de la Vega & Ana Urrutia & Oscar Volij, 2011. "An Axiomatic Characterization Of The Theil Inequality Order," Working Papers 1103, Ben-Gurion University of the Negev, Department of Economics.
    6. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
    7. Erickson, Kenneth W. & Moss, Charles B. & Mishra, Ashok K., 2006. "Farm Wealth Inequality Within and Across States in the United States," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 35(2), pages 1-14, October.
    8. Frank A Cowell & Christian Schluter, 1998. "Measuring Income Mobility with Dirty Data (published in Ethnic and Racial Studies, 22(3), May 1999)," CASE Papers 016, Centre for Analysis of Social Exclusion, LSE.
    9. Frankel, David M. & Volij, Oscar, 2011. "Measuring school segregation," Journal of Economic Theory, Elsevier, vol. 146(1), pages 1-38, January.
    10. Sorger, Gerhard & Stark, Oded, 2013. "Income redistribution going awry: The reversal power of the concern for relative deprivation," Journal of Economic Behavior & Organization, Elsevier, vol. 86(C), pages 1-9.
    11. Kleiber, Christian, 1997. "The existence of population inequality measures," Economics Letters, Elsevier, vol. 57(1), pages 39-44, November.
    12. 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.
    13. Ruiz-Castillo, Javier, 1994. "A complete model for welfare analysis," UC3M Working papers. Economics 2907, Universidad Carlos III de Madrid. Departamento de Economía.
    14. Stephen P. Jenkins & Richard V. Burkhauser & Shuaizhang Feng & Jeff Larrimore, 2011. "Measuring inequality using censored data: a multiple‐imputation approach to estimation and inference," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(1), pages 63-81, January.
    15. Ruiz-Castillo, Javier, 1994. "The evolution of the standard of living in Spain, 1973-74 to 1980-81," UC3M Working papers. Economics 2909, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Juan Prieto Rodríguez & Juan Gabriel Rodríguez & Rafael Salas, 2004. "Interactions inequality-polarization: an impossibility result," Economic Working Papers at Centro de Estudios Andaluces E2004/64, Centro de Estudios Andaluces.
    17. Stéphane Mussard & Françoise Seyte & Michel Terraza, 2006. "La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature," Cahiers de recherche 06-11, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    18. Frank A. Cowell & Stephen P. Jenkins, 2000. "Estimating Welfare Indices: Household Weights and Sample Design," Discussion Papers of DIW Berlin 219, DIW Berlin, German Institute for Economic Research.
    19. Juan Gabriel Rodríguez & Rafael Salas, 2004. "A Bistochastic Nonparametric Estimator," Economic Working Papers at Centro de Estudios Andaluces E2004/22, Centro de Estudios Andaluces.
    20. Figueiredo, Erik Alencar de & Ziegelmann, Flávio Augusto, 2009. "Mobilidade de Renda e Bem-estar Econômico no Brasil," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 63(4), December.

    More about this item

    Keywords

    Inequality; asymptotic estimates; resampling; grouping; robustness;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • 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:ehl:lserod:2229. 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: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.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.