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Equivalent Gini coefficient, not shape parameter!

Author

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  • Lucio Bertoli-Barsotti

    (University of Bergamo)

Abstract

In a recent contribution in this journal, Gagolewski et al. (Scientometrics 127(5):2829–2845, 2022) study a new model—the so-called 3 dimensions of scientific impact (3DSI) model—for representing a rank size distribution. The model depends on three parameters/dimensions: the total number of papers, the total number of citations and a third parameter, $$\rho$$ ρ , recognized by the authors as a shape parameter. We prove that $$\rho$$ ρ is an equivalent Gini coefficient.

Suggested Citation

  • Lucio Bertoli-Barsotti, 2023. "Equivalent Gini coefficient, not shape parameter!," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(1), pages 867-870, January.
    • Handle: RePEc:spr:scient:v:128:y:2023:i:1:d:10.1007_s11192-022-04571-8
    DOI: 10.1007/s11192-022-04571-8
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    References listed on IDEAS

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    1. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2019. "How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis," Journal of Informetrics, Elsevier, vol. 13(1), pages 387-396.
    2. Cena, Anna & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2022. "Validating citation models by proxy indices," Journal of Informetrics, Elsevier, vol. 16(2).
    3. Marek Gagolewski & Barbara Żogała-Siudem & Grzegorz Siudem & Anna Cena, 2022. "Ockham’s index of citation impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(5), pages 2829-2845, May.
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    Citations

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    Cited by:

    1. Lucio Bertoli-Barsotti & Marek Gagolewski & Grzegorz Siudem & Barbara .Zoga{l}a-Siudem, 2023. "Equivalence of inequality indices: Three dimensions of impact revisited," Papers 2304.07479, arXiv.org.
    2. Lucio Bertoli-Barsotti & Marek Gagolewski & Grzegorz Siudem & Barbara .Zoga{l}a-Siudem, 2023. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Papers 2304.07480, arXiv.org, revised Jan 2024.
    3. Bertoli-Barsotti, Lucio & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2024. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Journal of Informetrics, Elsevier, vol. 18(2).

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