IDEAS home Printed from https://ideas.repec.org/a/spr/stmapp/v10y2001i1d10.1007_bf02511642.html
   My bibliography  Save this article

Some remarks on Lorenz ordering-preserving functionals

Author

Listed:
  • Lucio Bertoli-Barsotti

    (University of Torino, Italy)

Abstract

Basing on two well-known characterization results on stochastic dominance and continuous majorization relation, the ordering-preserving property-with respect to Lorenz ordering-is deduced for a wide class of families of functionals on a class of distributions. As a consequence the isotonicity ofZ Zenga concentration index is deduced as an immediate application of a characterization result, in particular of the first degree stochastic dominance relation. Moreover it is also shown that a classical inequality by Fan and Lorenz is a basic reference for the determination of a wide class of Lorenz ordering-preserving functionals. Isotonicity ofZ could also be seen as a straighforward application of Fan and Lorenz inequality.

Suggested Citation

  • Lucio Bertoli-Barsotti, 2001. "Some remarks on Lorenz ordering-preserving functionals," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 99-112, January.
    • Handle: RePEc:spr:stmapp:v:10:y:2001:i:1:d:10.1007_bf02511642
    DOI: 10.1007/BF02511642
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/BF02511642
    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/BF02511642?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. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. N/A, 1971. "The Economic Situation," National Institute Economic Review, National Institute of Economic and Social Research, vol. 56(1), pages 22-35, May.
    3. Peter C. Fishburn, 1980. "Stochastic Dominance and Moments of Distributions," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 94-100, February.
    4. anonymous, 1971. "Monetary aggregates and recent economic trends," Review, Federal Reserve Bank of St. Louis, vol. 53(Apr), pages 2-9.
    5. anonymous, 1971. "The economy: a moderate recovery," Review, Federal Reserve Bank of St. Louis, vol. 53(May), pages 2-7.
    6. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    7. N/A, 1971. "Chapter II. The World Economy," National Institute Economic Review, National Institute of Economic and Social Research, vol. 58(1), pages 16-33, November.
    8. N/A, 1971. "Chapter II: The World Economy," National Institute Economic Review, National Institute of Economic and Social Research, vol. 57(1), pages 21-34, August.
    9. N/A, 1971. "The Economic Situation," National Institute Economic Review, National Institute of Economic and Social Research, vol. 56(1), pages 4-21, May.
    10. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    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. Francesca Battisti & Francesco Porro, 2023. "A multi-decomposition of Zenga-84 inequality index: an application to the disparity in CO $$_2$$ 2 emissions in European countries," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 957-981, September.
    2. Francesco Porro & Michele Zenga, 2020. "Decomposition by subpopulations of the Zenga-84 inequality curve and the related index $$\zeta $$ζ: an application to 2014 Bank of Italy survey," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(1), pages 187-207, March.

    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. Lucas, Robert E, Jr, 1996. "Nobel Lecture: Monetary Neutrality," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 661-682, August.
    2. Shaw, Kathryn L, 1996. "An Empirical Analysis of Risk Aversion and Income Growth," Journal of Labor Economics, University of Chicago Press, vol. 14(4), pages 626-653, October.
    3. Park, Ki Seong, 1996. "Economic Growth and Multiskilled Workers in Manufacturing," Journal of Labor Economics, University of Chicago Press, vol. 14(2), pages 254-285, April.
    4. Formby, John P. & Smith, W. James & Zheng, Buhong, 1999. "The coefficient of variation, stochastic dominance and inequality: A new interpretation," Economics Letters, Elsevier, vol. 62(3), pages 319-323, March.
    5. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    6. Juan Luis Londoño & Miguel Székely, 2000. "Persistent Poverty and Excess Inequality: Latin America, 1970-1995," Journal of Applied Economics, Universidad del CEMA, vol. 3, pages 93-134, May.
    7. Tugce, Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," SIRE Discussion Papers 2013-49, Scottish Institute for Research in Economics (SIRE).
    8. Londoño, Juan Luis & Székely, Miguel, 1997. "Persistent Poverty and Excess Inequality: Latin America, 1970-1995," IDB Publications (Working Papers) 6092, Inter-American Development Bank.
    9. Magne Mogstad, 2007. "Measuring Income Inequality under Restricted Interpersonal Comparability," Discussion Papers 498, Statistics Norway, Research Department.
    10. Stephen P. Jenkins & John Micklewright, 2007. "New Directions in the Analysis of Inequality and Poverty," Discussion Papers of DIW Berlin 700, DIW Berlin, German Institute for Economic Research.
    11. Ji-Won Park & Chae Un Kim, 2021. "Getting to a feasible income equality," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-16, March.
    12. Maria Ana Lugo & Esfandiar Maasoumi, 2008. "Multidimensional Poverty Measures from an Information Theory Perspective," Working Papers 85, ECINEQ, Society for the Study of Economic Inequality.
    13. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    14. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 53(1), pages 79-95, January.
    15. Chris Elbers & Peter Lanjouw & Johan Mistiaen & Berk Özler, 2008. "Reinterpreting between-group inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(3), pages 231-245, September.
    16. Yawo A. Noglo & Komivi Afawubo, 2017. "2011-2015: an illustration based on the decomposition of the Gini coefficient using the Shapley value approach," Economics Bulletin, AccessEcon, vol. 37(4), pages 2602-2615.
    17. Jabłoński Łukasz, 2019. "Inequality in Economics: The Concept, Perception, Types, and Driving Forces," Journal of Management and Business Administration. Central Europe, Sciendo, vol. 27(1), pages 17-43, March.
    18. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    19. Jasso, Guillermina & Kotz, Samuel, 2007. "Two Types of Inequality: Inequality Between Persons and Inequality Between Subgroups," IZA Discussion Papers 2749, Institute of Labor Economics (IZA).
    20. 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.

    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:stmapp:v:10:y:2001:i:1:d:10.1007_bf02511642. 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.