IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v35y2020i1d10.1007_s00180-019-00890-2.html
   My bibliography  Save this article

Some properties of double truncated distributions and their application in view of income inequality

Author

Listed:
  • Zahra Behdani

    (Ferdowsi University of Mashhad)

  • Gholam Reza Mohtashami Borzadaran

    (Ferdowsi University of Mashhad)

  • Bahram Sadeghpour Gildeh

    (Ferdowsi University of Mashhad)

Abstract

In this paper, we consider some results about the effect of double truncation on income inequality measures. We present some properties and characterization of inequality measures and truncated distributions and introduce some structural relationships between truncated and original variables in the context of reliability and economics measures. Also, some properties of Lorenz order with truncated distributions are studied. Furthermore, it is shown that the Gini index of doubly truncated was computed by original distribution function and vitality function. Finally, an illustrative example is used for clarifying presented concepts.

Suggested Citation

  • Zahra Behdani & Gholam Reza Mohtashami Borzadaran & Bahram Sadeghpour Gildeh, 2020. "Some properties of double truncated distributions and their application in view of income inequality," Computational Statistics, Springer, vol. 35(1), pages 359-378, March.
    • Handle: RePEc:spr:compst:v:35:y:2020:i:1:d:10.1007_s00180-019-00890-2
    DOI: 10.1007/s00180-019-00890-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-019-00890-2
    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/s00180-019-00890-2?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. N. Nair & P. Sankaran & B. Vineshkumar, 2012. "Characterization of distributions by properties of truncated Gini index and mean difference," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 173-191, August.
    2. Milenko Bernadic & José Candel, 2012. "The doubly truncated function of indices on discrete distributions," Statistical Papers, Springer, vol. 53(1), pages 177-193, February.
    3. Wilfling, Bernd & Kramer, Walter, 1993. "The Lorenz-ordering of Singh-Maddala income distributions," Economics Letters, Elsevier, vol. 43(1), pages 53-57.
    4. Barry Arnold, 2015. "On Zenga and Bonferroni curves," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 25-30, April.
    5. Belzunce, Félix & Pinar, José F. & Ruiz, José M. & Sordo, Miguel A., 2013. "Comparison of concentration for several families of income distributions," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1036-1045.
    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. Masato Okamoto, 2022. "Lorenz and Polarization Orderings of the Double-Pareto Lognormal Distribution and Other Size Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 548-574, November.
    2. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2010. "A model of personal income distribution with application to Italian data," Empirical Economics, Springer, vol. 39(2), pages 559-591, October.
    3. Belzunce, Félix & Pinar, José F. & Ruiz, José M. & Sordo, Miguel A., 2013. "Comparison of concentration for several families of income distributions," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1036-1045.
    4. Antonia Castaño-Martínez & Gema Pigueiras & Miguel A. Sordo, 2021. "On the Increasing Convex Order of Relative Spacings of Order Statistics," Mathematics, MDPI, vol. 9(6), pages 1-12, March.
    5. 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.
    6. 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.
    7. James Harvey, "undated". "A note on the 'Natural Rate of Subjective Inequality' hypothesis and the approximate relationship between the Gini coefficient and the Atkinson index," Discussion Papers 03/12, Department of Economics, University of York.
    8. P. Sankaran & Bijamma Thomas & N. Midhu, 2015. "On bilinear hazard quantile functions," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 135-148, April.
    9. Wilfling, Bernd, 1996. "Lorenz ordering of power-function order statistics," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 313-319, November.
    10. Brzezinski, Michal, 2014. "Empirical modeling of the impact factor distribution," Journal of Informetrics, Elsevier, vol. 8(2), pages 362-368.
    11. Idir Arab & Paulo Eduardo Oliveira & Tilo Wiklund, 2021. "Convex transform order of Beta distributions with some consequences," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(3), pages 238-256, August.
    12. Louis Mesnard, 2022. "About some difficulties with the functional forms of Lorenz curves," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(4), pages 939-950, December.
    13. Thomas Groll & Peter J. Lambert, 2013. "The Pro-Poorness, Growth and Inequality Nexus: Some Findings From a Simulation Study," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 776-784, December.
    14. P. Jenkins, Stephen & Jäntti, Markus, 2001. "Examining the impact of macro-economic conditions on income inequality," ISER Working Paper Series 2001-17, Institute for Social and Economic Research.
    15. 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.
    16. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    17. Félix Belzunce & Carolina Martínez-Riquelme & José M. Ruiz & Miguel A. Sordo, 2017. "On the Comparison of Relative Spacings with Applications," Methodology and Computing in Applied Probability, Springer, vol. 19(2), pages 357-376, June.
    18. Sarabia, Jose Maria & Castillo, Enrique & Slottje, Daniel J., 2002. "Lorenz ordering between McDonald's generalized functions of the income size distribution," Economics Letters, Elsevier, vol. 75(2), pages 265-270, April.
    19. Lando, Tommaso & Bertoli-Barsotti, Lucio, 2020. "Second-order stochastic dominance for decomposable multiparametric families with applications to order statistics," Statistics & Probability Letters, Elsevier, vol. 159(C).
    20. Tam'as S. Bir'o & Zolt'an N'eda, 2020. "Gintropy: Gini index based generalization of Entropy," Papers 2007.04829, arXiv.org.

    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:compst:v:35:y:2020:i:1:d:10.1007_s00180-019-00890-2. 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.