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An investigation on mathematical models of the h-index

Author

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  • Fred Y. Ye

    (Zhejiang University
    Institution of Scientific and Technical Information of China)

Abstract

Based on two large data samples from ISI databases, the author evaluated the Hirsch model, the Egghe-Rousseau model, and the Glänzel-Schubert model of the h-index. The results support the Glänzel-Schubert model as a better estimation of the h-index at both journal and institution levels. If h c , h p and h pc stand for the Hirsch estimation, Egghe-Rousseau estimation, and Glänzel-Schubert estimation, respectively, then an inequality h p

Suggested Citation

  • Fred Y. Ye, 2009. "An investigation on mathematical models of the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 493-498, November.
    • Handle: RePEc:spr:scient:v:81:y:2009:i:2:d:10.1007_s11192-008-2169-6
    DOI: 10.1007/s11192-008-2169-6
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    References listed on IDEAS

    as
    1. Ye, Fred Y. & Rousseau, Ronald, 2008. "The power law model and total career h-index sequences," Journal of Informetrics, Elsevier, vol. 2(4), pages 288-297.
    2. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    3. Edit Csajbók & Anna Berhidi & Lívia Vasas & András Schubert, 2007. "Hirsch-index for countries based on Essential Science Indicators data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 91-117, October.
    4. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    5. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

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    3. Chen, Dar-zen & Huang, Mu-hsuan & Ye, Fred Y., 2013. "A probe into dynamic measures for h-core and h-tail," Journal of Informetrics, Elsevier, vol. 7(1), pages 129-137.
    4. Burrell, Quentin L., 2013. "The h-index: A case of the tail wagging the dog?," Journal of Informetrics, Elsevier, vol. 7(4), pages 774-783.
    5. Lucio Bertoli-Barsotti & Tommaso Lando, 2017. "A theoretical model of the relationship between the h-index and other simple citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1415-1448, June.
    6. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    7. O. Mryglod & Yu. Holovatch & R. Kenna, 2022. "Big fish and small ponds: why the departmental h-index should not be used to rank universities," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(6), pages 3279-3292, June.
    8. Wei, Shelia X. & Tong, Tong & Rousseau, Ronald & Wang, Wanru & Ye, Fred Y., 2022. "Relations among the h-, g-, ψ-, and p-index and offset-ability," Journal of Informetrics, Elsevier, vol. 16(4).
    9. Tokmachev, Andrey M., 2023. "Hidden scales in statistics of citation indicators," Journal of Informetrics, Elsevier, vol. 17(1).
    10. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2015. "On a formula for the h-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 762-776.

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