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Characteristic scores and scales in a Lotkaian framework

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  • L. Egghe

    (Universiteit Hasselt (UHasselt))

Abstract

The characteristic scores and scales (CSS), introduced by Glänzel and Schubert (J Inform Sci 14:123–127, 1988) and further studied in subsequent papers of Glänzel, can be calculated exactly in a Lotkaian framework. We prove that these CSS are simple exponents of the average number of items per source in general IPPs. The proofs are given using size-frequency functions as well as using rank-frequency functions. We note that CSS do not necessarily have to be defined as averages but that medians can be used as well. Also for these CSS we present exact formulae in the Lotkaian framework and both types of CSS are compared. We also link these formulae with the h-index.

Suggested Citation

  • L. Egghe, 2010. "Characteristic scores and scales in a Lotkaian framework," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(2), pages 455-462, May.
    • Handle: RePEc:spr:scient:v:83:y:2010:i:2:d:10.1007_s11192-009-0009-y
    DOI: 10.1007/s11192-009-0009-y
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    References listed on IDEAS

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    1. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
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    Cited by:

    1. Leo Egghe, 2010. "Letter to the editor: On Randić’s H-sequence," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(3), pages 795-797, September.
    2. Vîiu, Gabriel-Alexandru, 2017. "Disaggregated research evaluation through median-based characteristic scores and scales: a comparison with the mean-based approach," Journal of Informetrics, Elsevier, vol. 11(3), pages 748-765.

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