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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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    1. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    3. Lokman I. Meho & Yvonne Rogers, 2008. "Citation counting, citation ranking, and h‐index of human‐computer interaction researchers: A comparison of Scopus and Web of Science," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(11), pages 1711-1726, September.
    4. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2007. "Generalized Hirsch h-index for disclosing latent facts in citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 253-280, August.
    5. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    6. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    7. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    8. Michael G. Banks, 2006. "An extension of the Hirsch index: Indexing scientific topics and compounds," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 161-168, October.
    9. Lutz Bornmann & Hans‐Dieter Daniel, 2007. "What do we know about the h index?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(9), pages 1381-1385, July.
    10. Quentin L. Burrell, 2007. "Hirsch index or Hirsch rate? Some thoughts arising from Liang’s data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 19-28, October.
    11. Rousseau, Ronald, 2007. "The influence of missing publications on the Hirsch index," Journal of Informetrics, Elsevier, vol. 1(1), pages 2-7.
    12. Rodrigo Costas & María Bordons, 2008. "Is g-index better than h-index? An exploratory study at the individual level," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 267-288, November.
    13. Anthony F. J. Raan, 2006. "Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(3), pages 491-502, June.
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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. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    5. Cena, Anna & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2022. "Validating citation models by proxy indices," Journal of Informetrics, Elsevier, vol. 16(2).
    6. 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.
    7. 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.
    8. Nair, Gopalan M. & Turlach, Berwin A., 2012. "The stochastic h-index," Journal of Informetrics, Elsevier, vol. 6(1), pages 80-87.

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