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Agent-based model for the h-index – exact solution

Author

Listed:
  • Barbara Żogała-Siudem

    (Systems Research Institute, Polish Academy of Sciences
    Institute of Computer Science, Polish Academy of Sciences,)

  • Grzegorz Siudem

    (Faculty of Physics, Warsaw University of Technology)

  • Anna Cena

    (Systems Research Institute, Polish Academy of Sciences
    Institute of Computer Science, Polish Academy of Sciences,)

  • Marek Gagolewski

    (Systems Research Institute, Polish Academy of Sciences
    Faculty of Mathematics and Information Science, Warsaw University of Technology)

Abstract

Hirsch’s h-index is perhaps the most popular citation-based measure of scientific excellence. In 2013, Ionescu and Chopard proposed an agent-based model describing a process for generating publications and citations in an abstract scientific community [G. Ionescu, B. Chopard, Eur. Phys. J. B 86, 426 (2013)]. Within such a framework, one may simulate a scientist’s activity, and – by extension – investigate the whole community of researchers. Even though the Ionescu and Chopard model predicts the h-index quite well, the authors provided a solution based solely on simulations. In this paper, we complete their results with exact, analytic formulas. What is more, by considering a simplified version of the Ionescu-Chopard model, we obtained a compact, easy to compute formula for the h-index. The derived approximate and exact solutions are investigated on a simulated and real-world data sets.

Suggested Citation

  • Barbara Żogała-Siudem & Grzegorz Siudem & Anna Cena & Marek Gagolewski, 2016. "Agent-based model for the h-index – exact solution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-9, January.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:1:d:10.1140_epjb_e2015-60757-1
    DOI: 10.1140/epjb/e2015-60757-1
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    Cited by:

    1. 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.
    2. Mrowinski, Maciej J. & Gagolewski, Marek & Siudem, Grzegorz, 2022. "Accidentality in journal citation patterns," Journal of Informetrics, Elsevier, vol. 16(4).
    3. Cena, Anna & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2022. "Validating citation models by proxy indices," Journal of Informetrics, Elsevier, vol. 16(2).

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    Keywords

    Statistical and Nonlinear Physics;

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