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

Zahra Behdani, Gholam Reza Mohtashami Borzadaran () and Bahram Sadeghpour Gildeh
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Zahra Behdani: Ferdowsi University of Mashhad
Gholam Reza Mohtashami Borzadaran: Ferdowsi University of Mashhad
Bahram Sadeghpour Gildeh: Ferdowsi University of Mashhad

Computational Statistics, 2020, vol. 35, issue 1, No 21, 359-378

Abstract: 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.

Keywords: Lorenz curve; Zenga curve; Measure of inequality; Truncated distributions; Partial ordering (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00180-019-00890-2

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