On Friday, 30th of June 2023, Zoltán Néda, Prof. Dr at the Department of Physics, Babeș-Bolyai University, Cluj-Napoca, Romania, will present the conference “Limits and scaling in Scientometric data”.
The event will begin at 12:30 and will take place at the University of Bucharest (90 Panduri Road, Ion Mihăilescu Hall, 1st Floor).
Abstract
They are many reasons why scientist are deeply concerned by their scientometric indicators.
The huge number of research paper appearing each year, the large number of citations they receive, and the existing electronic databases for these creates however a proper environment for a statistical study. A thorough statistical study on Web of Science or Google Scholar reveals interesting universalities. The distribution of citations received for its publications for an author, journal or universality presents a universal Pareto-type distribution, shockingly similar with the distribution of shares received by a the posts of a Facebook users [1]. One can partly understand this universality by a simple application of the recently introduced LGGR model [2]. On the other hand, since the seminal paper of Hirsch, in 2005 [3], scientist tried to link statistically the h index to the other two basic scientometric indicators: the total number of citations received by the researcher, Ncit and the total number of papers published, Npub, by him/her. Empirically, it was found that Ncit=4 h2 [4], and assuming that all allowed distributions of the Ncit citations for the Npub papers are equally probable, Yong [5] proposed a theoretical scaling: Ncit=2 ln(2) h2 3.42 h2. Seemingly both approaches work well for not too high Ncit and Npub values. Exploiting the Paretian form for the distribution of citations for the papers authored by a researcher, we discuss also a novel scaling relations between h, Npub and Ncit . The analysis incorporates the Gini index as an inequality measure of citation distributions and a recently proposed inequality kernel, gintropy [6] (resembling to the entropy kernel). We find a new upper bound for the h value as a function of the total number of citations, confirmed on massive data collected from Google Scholar [7] . Our analyses reveals also that the individualized Gini index calculated for the citations received by the publications of an author peaks around 0.8, a value much higher than the one usually reported for socio-economic inequalities. (More information on this subject were published here T.S. Biro, A. Telcs, M. Jozsa and Z. Neda, Gintropic scaling of scientometric indexes, Physica A, vol. 618, 128717, 2023 )