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

  • Zahra Behdani
  • Gholam Reza Mohtashami BorzadaranEmail author
  • Bahram Sadeghpour Gildeh
Original paper


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.


Lorenz curve Zenga curve Measure of inequality Truncated distributions Partial ordering 



We are grateful to an anonymous referee for his/her valuable comments, which have improved the presentation and contents of this paper.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Zahra Behdani
    • 1
  • Gholam Reza Mohtashami Borzadaran
    • 1
    Email author
  • Bahram Sadeghpour Gildeh
    • 1
  1. 1.Department of Statistics, Faculty of Mathematical SciencesFerdowsi University of MashhadMashhadIran

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