Power laws in citation distributions: Evidence from Scopus
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.
|Date of creation:||2014|
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- repec:spr:scient:v:88:y:2011:i:2:d:10.1007_s11192-011-0407-9 is not listed on IDEAS
- S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
- repec:spr:scient:v:83:y:2010:i:1:d:10.1007_s11192-009-0023-0 is not listed on IDEAS
- Ruiz-Castillo, Javier & Ortuño, Ignacio & Crespo, Juan A. & Albarrán, Pedro, 2010.
"The skewness of science in 219 sub-fields and a number of aggregates,"
UC3M Working papers. Economics
we1038, Universidad Carlos III de Madrid. Departamento de Economía.
- Ruiz-Castillo, Javier & Ortuño, Ignacio & Crespo, Juan A. & Albarrán, Pedro, 2011. "The skewness of science in 219 sub-fields and a number of aggregates," UC3M Working papers. Economics we1109, Universidad Carlos III de Madrid. Departamento de Economía.
- Albarrán, Pedro & Crespo, Juan A. & Ortuño-Ortín, Ignacio & Ruiz-Castillo, Javier, 2010. "The Skewness of Science in 219 Sub-Fields and a Number of Aggregates," CEPR Discussion Papers 8126, C.E.P.R. Discussion Papers.
- Pedro Albarrán & Javier Ruiz-Castillo, 2011. "References made and citations received by scientific articles," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(1), pages 40-49, 01.
- Ruiz-Castillo, Javier & Albarrán, Pedro, 2009. "References made and citations received by scientific articles," UC3M Working papers. Economics we094581, Universidad Carlos III de Madrid. Departamento de Economía.
- Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
- Aghaei Chadegani, Arezoo & Salehi, Hadi & Md Yunus, Melor & Farhadi, Hadi & Fooladi, Masood & Farhadi, Maryam & Ale Ebrahim, Nader, 2013. "A Comparison between Two Main Academic Literature Collections: Web of Science and Scopus Databases," MPRA Paper 46898, University Library of Munich, Germany, revised 18 Mar 2013.
- Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
- Xavier Gabaix, 2008. "Power Laws in Economics and Finance," NBER Working Papers 14299, National Bureau of Economic Research, Inc.
- López-Illescas, Carmen & de Moya-Anegón, Félix & Moed, Henk F., 2008. "Coverage and citation impact of oncological journals in the Web of Science and Scopus," Journal of Informetrics, Elsevier, vol. 2(4), pages 304-316. Full references (including those not matched with items on IDEAS)
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