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

Barbara Żogała-Siudem, Grzegorz Siudem (), Anna Cena and Marek Gagolewski
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Barbara Żogała-Siudem: Systems Research Institute, Polish Academy of Sciences
Grzegorz Siudem: Faculty of Physics, Warsaw University of Technology
Anna Cena: Systems Research Institute, Polish Academy of Sciences
Marek Gagolewski: Systems Research Institute, Polish Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 1, 1-9

Abstract: 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 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2015-60757-1

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