Agent-based model for the h-index - exact solution
Authored by Barbara Zogala-Siudem, Grzegorz Siudem, Anna Cena, Marek Gagolewski
Date Published: 2016
DOI: 10.1140/epjb/e2015-60757-1
Sponsors:
European Union
European Social Fund
Interdisciplinary PhD Studies Program
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
Model code not found
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.
Tags
Preferential attachment
Scientific impact
Citation networks
Hirsch-index