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Theoretical justification of the central area indices and the central interval indices

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  • L. Egghe

    (Universiteit Hasselt (UHasselt)
    Universiteit Antwerpen (UA))

Abstract

The central area indices and the central interval indices, as introduced in Dorta-González and Dorta-González (Scientometrics 88(3):729–745, 2011), are studied from a theoretical point of view. They are defined in order to yield higher impact values of “selective” authors (i.e., authors with concentrated number of citations over their publications). We show that this property is not valid for every citation distribution. However, if Zipf’s law is adopted for the citation distribution, we can show that the central area indices and the central interval indices have indeed higher values for more selective authors.

Suggested Citation

  • L. Egghe, 2013. "Theoretical justification of the central area indices and the central interval indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 95(1), pages 25-34, April.
    • Handle: RePEc:spr:scient:v:95:y:2013:i:1:d:10.1007_s11192-012-0803-9
    DOI: 10.1007/s11192-012-0803-9
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    References listed on IDEAS

    as
    1. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    2. Pablo Dorta-González & María-Isabel Dorta-González, 2011. "Central indexes to the citation distribution: a complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(3), pages 729-745, September.
    3. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    4. L Egghe, 2011. "A disadvantage of h-type indices for comparing the citation impact of two researchers," Research Evaluation, Oxford University Press, vol. 20(4), pages 341-346, October.
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    Cited by:

    1. Dorta-González, Pablo & Dorta-González, María Isabel & Santos-Peñate, Dolores Rosa & Suárez-Vega, Rafael, 2014. "Journal topic citation potential and between-field comparisons: The topic normalized impact factor," Journal of Informetrics, Elsevier, vol. 8(2), pages 406-418.
    2. Pablo Dorta-González & María Isabel Dorta-González & Rafael Suárez-Vega, 2015. "An approach to the author citation potential: measures of scientific performance which are invariant across scientific fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1467-1496, February.

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