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Hirsch-type characteristics of the tail of distributions. The generalised h-index

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  • Glänzel, Wolfgang
  • Schubert, András

Abstract

In this paper a generalisation of the h-index and g-index is given on the basis of non-negative real-valued functionals defined on subspaces of the vector space generated by the ordered samples. Several Hirsch-type measures are defined and their basic properties are analysed. Empirical properties are illustrated using examples from the micro- and meso-level. Among these measures, the h-index proved the most, the arithmetic and geometric g-indices, the least robust measures. The μ-index and the harmonic g-index provide more balanced results and are still robust enough.

Suggested Citation

  • Glänzel, Wolfgang & Schubert, András, 2010. "Hirsch-type characteristics of the tail of distributions. The generalised h-index," Journal of Informetrics, Elsevier, vol. 4(1), pages 118-123.
    • Handle: RePEc:eee:infome:v:4:y:2010:i:1:p:118-123
    DOI: 10.1016/j.joi.2009.10.002
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    References listed on IDEAS

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    1. Richard S. J. Tol, 2009. "The h-index and its alternatives: An application to the 100 most prolific economists," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 317-324, August.
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    Cited by:

    1. Vinkler, Péter, 2013. "Would it be possible to increase the Hirsch-index, π-index or CDS-index by increasing the number of publications or citations only by unity?," Journal of Informetrics, Elsevier, vol. 7(1), pages 72-83.
    2. Fiorenzo Franceschini & Domenico Maisano, 2011. "Bibliometric positioning of scientific manufacturing journals: a comparative analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 463-485, February.
    3. Antonio Abatemarco & Roberto Dell’Anno, 2013. "Certainty equivalent citation: generalized classes of citation indexes," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 263-271, January.
    4. Lorna Wildgaard & Jesper W. Schneider & Birger Larsen, 2014. "A review of the characteristics of 108 author-level bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(1), pages 125-158, October.
    5. Zhenbin Yan & Qiang Wu & Xingchen Li, 2016. "Do Hirsch-type indices behave the same in assessing single publications? An empirical study of 29 bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(3), pages 1815-1833, December.
    6. Mingyang Wang & Shijia Jiao & Kah-Hin Chai & Guangsheng Chen, 2019. "Building journal’s long-term impact: using indicators detected from the sustained active articles," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(1), pages 261-283, October.
    7. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    8. Péter Vinkler, 2011. "Application of the distribution of citations among publications in scientometric evaluations," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(10), pages 1963-1978, October.
    9. Keshra Sangwal, 2012. "On the relationship between citations of publication output and Hirsch index h of authors: conceptualization of tapered Hirsch index h T, circular citation area radius R and citation acceleration a," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(3), pages 987-1004, December.

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