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A multi-parametric family of stretch exponential distributions with various power law tails is introduced and is shown to describe adequately the empirical distributions of scientific citation of individual authors. The four-parametric…

Physics and Society · Physics 2016-05-13 O. S. Garanina , M. Yu. Romanovsky

Citation distributions are crucial for the analysis and modeling of the activity of scientists. We investigated bibliometric data of papers published in journals of the American Physical Society, searching for the type of function which…

Physics and Society · Physics 2011-10-11 Young-Ho Eom , Santo Fortunato

We present empirical data on misprints in citations to twelve high-profile papers. The great majority of misprints are identical to misprints in articles that earlier cited the same paper. The distribution of the numbers of misprint…

Physics and Society · Physics 2011-09-13 M. V. Simkin , V. P. Roychowdhury

We develop a model for the distribution of scientific citations. The model involves a dual mechanism: in the direct mechanism, the author of a new paper finds an old paper A and cites it. In the indirect mechanism, the author of a new paper…

Physics and Society · Physics 2011-03-08 G. J. Peterson , S. Pressé , K. A. Dill

This work explores the distribution of citations for the publications of top scientists. A first objective is to find out whether the 80-20 Pareto rule applies, that is if 80% of the citations to a top scientist's work concern 20% of their…

Digital Libraries · Computer Science 2018-10-31 Giovanni Abramo , Ciriaco Andrea D'Angelo , Anastasiia Soldatenkova

Empirical evidence demonstrates that citations received by scholarly publications follow a pattern of preferential attachment, resulting in a power-law distribution. Such asymmetry has sparked significant debate regarding the use of…

Digital Libraries · Computer Science 2023-12-04 Diego Kozlowski1 , Jens Peter Andersen , Vincent Larivière

Numerical data for the distribution of citations are examined for: (i) papers published in 1981 in journals which are catalogued by the Institute for Scientific Information (783,339 papers) and (ii) 20 years of publications in Physical…

Statistical Mechanics · Physics 2011-10-11 S. Redner

The citations to a set of academic articles are typically unevenly shared, with many articles attracting few citations and few attracting many. It is important to know more precisely how citations are distributed in order to help…

Digital Libraries · Computer Science 2015-11-02 Mike Thelwall , Paul Wilson

Gradually Truncated Log-normal distribution - Size distribution of firms Abstract Many natural and economical phenomena are described through power law or log- normal distributions. In these cases, probability decreases very slowly with…

Statistical Mechanics · Physics 2008-12-02 Hari M. Gupta , Jose R. Campanha

Changes in citation distributions over 100 years can reveal much about the evolution of the scientific communities or disciplines. The prevalence of uncited papers or of highly-cited papers, with respect to the bulk of publications,…

Physics and Society · Physics 2008-10-09 Matthew L. Wallace , Vincent Larivière , Yves Gingras

Modeling distributions of citations to scientific papers is crucial for understanding how science develops. However, there is a considerable empirical controversy on which statistical model fits the citation distributions best. This paper…

Digital Libraries · Computer Science 2014-02-18 Michal Brzezinski

In this paper we show that the dramatic increase in the number of research articles indexed in the Web of Science database impacts the commonly observed distributions of citations within these articles. First, we document that the growing…

Digital Libraries · Computer Science 2017-03-09 Lovro Šubelj , Dalibor Fiala

We study the distributions of citations received by a single publication within several disciplines, spanning broad areas of science. We show that the probability that an article is cited $c$ times has large variations between different…

Physics and Society · Physics 2008-11-04 Filippo Radicchi , Santo Fortunato , Claudio Castellano

We analyze time evolution of statistical distributions of citations to scientific papers published in one year. While these distributions can be fitted by a power-law dependence we find that they are nonstationary and the exponent of the…

Physics and Society · Physics 2017-09-13 Michael Golosovsky

Recent research has found that select scientists have a disproportional share of highly cited papers. Researchers reasoned that this could not have happened if success in science was random and introduced a hidden parameter Q, or talent, to…

Physics and Society · Physics 2021-07-28 M. V. Simkin

This study explores the citation diversity in scholarly literature, analyzing different patterns of citations observed within different countries and academic disciplines. We examine citation distributions across top institutions within…

Physics and Society · Physics 2025-08-26 Suchismita Banerjee , Abhik Ghosh , Banasri Basu

Recently we discovered (cond-mat/0212043) that the majority of scientific citations are copied from the lists of references used in other papers. Here we show that a model, in which a scientist picks three random papers, cites them,and also…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. V. Simkin , V. P. Roychowdhury

Recently we proposed a model in which when a scientist writes a manuscript, he picks up several random papers, cites them and also copies a fraction of their references (cond-mat/0305150). The model was stimulated by our discovery that a…

Physics and Society · Physics 2007-08-28 M. V. Simkin , V. P. Roychowdhury

The number of citations is a widely used metric to evaluate the scientific credit of papers, scientists and journals. However, it does happen that a paper with fewer citations from prestigious scientists is of higher influence than papers…

Digital Libraries · Computer Science 2012-04-03 Yan-Bo Zhou , Linyuan Lü , Menghui Li

We studied the statistical distribution of student's performance, which is measured through their marks, in university entrance examination (Vestibular) of UNESP (Universidade Estadual Paulista) with respect to (i) period of study - day vs.…

Condensed Matter · Physics 2007-05-23 Hari M. Gupta , Jose R. Campanha , Fabio R. Chavarette
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