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Inequality measures of the generalized gamma distribution with a practicable application tool

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  • Emrah Altun
  • Fulya Gezer
  • Hana N Alqifari

Abstract

We introduce the inequality measures of the generalized gamma distribution. The Gini coefficient, Theil, Atkinson and Pietra indexes are considered as the inequality measures. The parameters of the generalized gamma distribution are estimated using the minimum distance estimator based on the Kullback-Leibler divergence for the grouped data. The simulation study is constructed to evaluate the performance of the parameter estimation method under the grouped data. The US income data for three different years are analyzed. Also, the GGIneq web-tool is developed to make the application of the inequality measures easy for the practitioners. The GGIneq, accessible via https://smartstat.shinyapps.io/GGIneq/, is a cloud-based system that allows users to obtain inequality measures of the generalized gamma distribution with high-quality graphical results.

Suggested Citation

  • Emrah Altun & Fulya Gezer & Hana N Alqifari, 2026. "Inequality measures of the generalized gamma distribution with a practicable application tool," PLOS ONE, Public Library of Science, vol. 21(5), pages 1-23, May.
    • Handle: RePEc:plo:pone00:0348349
    DOI: 10.1371/journal.pone.0348349
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    References listed on IDEAS

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    1. Meltem Dayioğlu & Cem Baslevent, 2006. "Imputed Rents and Regional Income Inequality in Turkey: A Subgroup Decomposition of the Atkinson Index," Regional Studies, Taylor & Francis Journals, vol. 40(8), pages 889-905.
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