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

  • Barbara Żogała-Siudem
  • Grzegorz Siudem
  • Anna Cena
  • Marek Gagolewski
Open Access
Regular Article

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.

Keywords

Statistical and Nonlinear Physics 

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Barbara Żogała-Siudem
    • 1
    • 2
  • Grzegorz Siudem
    • 3
  • Anna Cena
    • 1
    • 2
  • Marek Gagolewski
    • 1
    • 4
  1. 1.Systems Research Institute, Polish Academy of SciencesWarsawPoland
  2. 2.Institute of Computer Science, Polish Academy of Sciences,WarsawPoland
  3. 3.Faculty of Physics, Warsaw University of TechnologyWarsawPoland
  4. 4.Faculty of Mathematics and Information Science, Warsaw University of TechnologyWarsawPoland

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