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Power laws in citation distributions: Evidence from Scopus

Michał Brzeziński

No 2014-05, Working Papers from Faculty of Economic Sciences, University of Warsaw

Abstract: 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 is concerned with rigorous empirical detection of power-law behaviour in the distribution of citations received by the most highly cited scientific papers. We have used a large, novel data set on citations to scientific papers published between 1998 and 2002 drawn from Scopus. The power-law model is compared with a number of alternative models using a likelihood ratio test. We have found that the power-law hypothesis is rejected for around half of the Scopus fields of science. For these fields of science, the Yule, power-law with exponential cut-off and log-normal distributions seem to fit the data better than the pure power-law model. On the other hand, when the power-law hypothesis is not rejected, it is usually empirically indistinguishable from most of the alternative models.

Keywords: power law; Pareto model; citation distribution; bibliometrics; scientometrics; Scopus; model selection (search for similar items in EconPapers)
JEL-codes: A12 C46 C52 (search for similar items in EconPapers)
Pages: 15 pages
Date: 2014
New Economics Papers: this item is included in nep-sog
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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http://www.wne.uw.edu.pl/inf/wyd/WP/WNE_WP122.pdf First version, 2014 (application/pdf)

Related works:
Journal Article: Power laws in citation distributions: evidence from Scopus (2015) Downloads
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