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A geometric approach to the construction of scientific impact indices

Author

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  • Marek Gągolewski

    (Polish Academy of Sciences
    Warsaw University of Technology)

  • Przemysław Grzegorzewski

    (Polish Academy of Sciences
    Warsaw University of Technology)

Abstract

Two broad classes of scientific impact indices are proposed and their properties - both theoretical and practical — are discussed. These new classes were obtained as a geometric generalization of the well-known tools applied in scientometric, like Hirsch’s h-index, Woeginger’s w-index and the Kosmulski’s Maxprod. It is shown how to apply the suggested indices for estimation of the shape of the citation function or the total number of citations of an individual. Additionally, a new efficient and simple O(log n) algorithm for computing the h-index is given.

Suggested Citation

  • Marek Gągolewski & Przemysław Grzegorzewski, 2009. "A geometric approach to the construction of scientific impact indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 617-634, December.
    • Handle: RePEc:spr:scient:v:81:y:2009:i:3:d:10.1007_s11192-008-2253-y
    DOI: 10.1007/s11192-008-2253-y
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Gagolewski, Marek & Mesiar, Radko, 2012. "Aggregating different paper quality measures with a generalized h-index," Journal of Informetrics, Elsevier, vol. 6(4), pages 566-579.
    2. Antonia Gogoglou & Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2017. "The fractal dimension of a citation curve: quantifying an individual’s scientific output using the geometry of the entire curve," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1751-1774, June.
    3. Gagolewski, Marek, 2011. "Bibliometric impact assessment with R and the CITAN package," Journal of Informetrics, Elsevier, vol. 5(4), pages 678-692.
    4. Bornmann, Lutz & Mutz, Rüdiger & Daniel, Hans-Dieter, 2010. "The h index research output measurement: Two approaches to enhance its accuracy," Journal of Informetrics, Elsevier, vol. 4(3), pages 407-414.
    5. Nair, Gopalan M. & Turlach, Berwin A., 2012. "The stochastic h-index," Journal of Informetrics, Elsevier, vol. 6(1), pages 80-87.
    6. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    7. Cena, Anna & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2022. "Validating citation models by proxy indices," Journal of Informetrics, Elsevier, vol. 16(2).
    8. Salih Selek & Ayman Saleh, 2014. "Use of h index and g index for American academic psychiatry," Scientometrics, Springer;Akadémiai Kiadó, vol. 99(2), pages 541-548, May.

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